首页 > 最新文献

2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)最新文献

英文 中文
The Method of Boundary States in Solving Problems of Thermoelasticity in the Presence of Mass Forces 求解有质量力的热弹性问题的边界态方法
D. A. Ivanychev
The paper describes a method for determining a stress-strain state of transversally isotropic solids of revolution, which are simultaneously influenced by external pressure and a body force within a steady-state temperature field. The mutually affected combination of these 3 factors results in the conclusive condition of a solid of revolution. The boundary conditions method is applied to determine the resultant condition influenced by exposure to an external pressure and temperature; the inverse method is applied to determine the condition affected and resulted from influence of the body force. The formation of inner and boundary condition basis, associated with isomorphism, is developed with formulation of constitutive relationships. The problems for a circular cylinder of rock and for a solid of revolution with nontrivial form are solved. The results are presented in graphical form.
本文描述了在稳态温度场中同时受外力和外力影响的横向各向同性旋转固体的应力-应变状态的测定方法。这三个因素相互影响的结合,形成了旋转固体的决定性条件。边界条件法用于确定受外部压力和温度影响的结果条件;用反求法确定了受外力影响和由外力影响而产生的状态。通过本构关系的表述,发展了与同构相关的内、边界条件基的形成。求解了岩石圆柱和非平凡形式的旋转固体的问题。结果以图形形式呈现。
{"title":"The Method of Boundary States in Solving Problems of Thermoelasticity in the Presence of Mass Forces","authors":"D. A. Ivanychev","doi":"10.1109/SUMMA48161.2019.8947505","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947505","url":null,"abstract":"The paper describes a method for determining a stress-strain state of transversally isotropic solids of revolution, which are simultaneously influenced by external pressure and a body force within a steady-state temperature field. The mutually affected combination of these 3 factors results in the conclusive condition of a solid of revolution. The boundary conditions method is applied to determine the resultant condition influenced by exposure to an external pressure and temperature; the inverse method is applied to determine the condition affected and resulted from influence of the body force. The formation of inner and boundary condition basis, associated with isomorphism, is developed with formulation of constitutive relationships. The problems for a circular cylinder of rock and for a solid of revolution with nontrivial form are solved. The results are presented in graphical form.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115609380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Mathematical Model for Managing the Dynamics of the Development of Information Conflict in Information Systems 管理信息系统中信息冲突发展动态的数学模型
A. Noev, A. Dushkin, V. Sumin
The article discusses the option of mathematical modelling of information conflict in the information system and managing the dynamics of its development. To do this, the formalization of the dynamics of information conflict, and without taking into account information theft. A mathematical model is developed, which comprehensively address the information conflict with dynamic control. A feature of this approach is the consideration of pre-emptive action of the opposite parties in the application of various methods of information conflict and protection organizations, as well as assessment of the impact of the degree of advance of the actions of the other side on the system safe from external and internal influences. The results of mathematical modeling can be applied for solving problems of good governance and timely decisions to eliminate threats to the security of information systems used in industry, government and executive authorities, as information objects, and the like.
本文讨论了信息系统中信息冲突数学建模的选择和信息系统发展动态的管理。要做到这一点,形式化的动态信息冲突,而不考虑信息盗窃。建立了综合处理信息冲突和动态控制的数学模型。这种方法的一个特点是在应用各种信息冲突和保护组织的方法时考虑到对方的先发制人的行动,并评估对方行动的超前程度对免受外部和内部影响的系统的影响。数学建模的结果可以应用于解决良好治理和及时决策的问题,以消除对工业、政府和执行机构中使用的信息系统的安全威胁,作为信息对象等等。
{"title":"Mathematical Model for Managing the Dynamics of the Development of Information Conflict in Information Systems","authors":"A. Noev, A. Dushkin, V. Sumin","doi":"10.1109/SUMMA48161.2019.8947546","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947546","url":null,"abstract":"The article discusses the option of mathematical modelling of information conflict in the information system and managing the dynamics of its development. To do this, the formalization of the dynamics of information conflict, and without taking into account information theft. A mathematical model is developed, which comprehensively address the information conflict with dynamic control. A feature of this approach is the consideration of pre-emptive action of the opposite parties in the application of various methods of information conflict and protection organizations, as well as assessment of the impact of the degree of advance of the actions of the other side on the system safe from external and internal influences. The results of mathematical modeling can be applied for solving problems of good governance and timely decisions to eliminate threats to the security of information systems used in industry, government and executive authorities, as information objects, and the like.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124876045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Decision Support for Project Risk Management Using the Information-Semantic Field 基于信息语义域的项目风险管理决策支持
A. Guseva, M. Koptelov, D. Kovtun
This paper presents a topic of risk management during implementation of major industry projects in atomic energetics, including international market based on information and semantic field usage. The information risks register for atomic energetics international projects is presented. The analysis of information and semantic field as part of a research of impact on Hungary's Paks-2 NPP implementation is performed. Project risks are evaluated, and economic efficiency is determined for two scenarios - with information risk and without it. Main micro-segmentation principle and risks mitigation indications are defined. Proposed scheme of decision support system. Author acknowledges support from the MEPhI Academic Excellence Project (Contract No. 02.a03.21.0005).
本文提出了基于信息和语义场使用的原子能源学(包括国际市场)重大工业项目实施过程中的风险管理问题。介绍了原子能国际项目信息风险登记系统。作为对匈牙利Paks-2核电厂实施影响研究的一部分,对信息和语义场进行了分析。评估项目风险,确定两种情况下的经济效率——有信息风险和没有信息风险。定义了主要的微分割原则和风险缓解指标。提出决策支持系统方案。作者感谢MEPhI学术卓越项目(合同号:02.a03.21.0005)的支持。
{"title":"Decision Support for Project Risk Management Using the Information-Semantic Field","authors":"A. Guseva, M. Koptelov, D. Kovtun","doi":"10.1109/SUMMA48161.2019.8947621","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947621","url":null,"abstract":"This paper presents a topic of risk management during implementation of major industry projects in atomic energetics, including international market based on information and semantic field usage. The information risks register for atomic energetics international projects is presented. The analysis of information and semantic field as part of a research of impact on Hungary's Paks-2 NPP implementation is performed. Project risks are evaluated, and economic efficiency is determined for two scenarios - with information risk and without it. Main micro-segmentation principle and risks mitigation indications are defined. Proposed scheme of decision support system. Author acknowledges support from the MEPhI Academic Excellence Project (Contract No. 02.a03.21.0005).","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125509223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Implementation of Aggregate Functioms for Interval-Valued Java Data Type in the Oracle DBMS 区间值Java数据类型聚合函数在Oracle DBMS中的实现
V. Alexeev, P. Domashnev
The article contains features of the implementation of aggregating functions for working with user-defined object data types in the Oracle DBMS in PLSQL. An example of implementation and using of aggregating summation function for interval-valued data is given.
本文包含在PLSQL中实现用于处理Oracle DBMS中用户定义的对象数据类型的聚合函数的特性。给出了区间值数据聚合求和函数的实现和使用实例。
{"title":"Implementation of Aggregate Functioms for Interval-Valued Java Data Type in the Oracle DBMS","authors":"V. Alexeev, P. Domashnev","doi":"10.1109/SUMMA48161.2019.8947560","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947560","url":null,"abstract":"The article contains features of the implementation of aggregating functions for working with user-defined object data types in the Oracle DBMS in PLSQL. An example of implementation and using of aggregating summation function for interval-valued data is given.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116059491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Modeling and Optimization of Chemical and Technological Processes 化工工艺过程的数学建模与优化
S. Spivak, O. Kantor
Kinetic models approach is one of the main methods for studying the mechanisms of chemical reactions that underlie any chemical-technological process. Its aim is to determine the kinetic parameters of individual reaction stages. The object of investigation in such problems are systems of differential equations the parameters for which must be established. Similar problems belong to the class of inverse coefficient problems. Their characteristic feature is a small amount of experimental data, which often does not allow the use of statistical methods for processing available information. A method for the parametric identification of kinetic models that extends L.V. Kantorovich approach that allows to define exact bilateral boundaries for the parameters of interest, is presented in this paper. It was tested on the example of constructing a kinetic model of the process for synthesizing 4-tert-butylpyrocatechol. The obtained results made it possible to determine the optimal mode of oxidant supply in the investigated reaction.
动力学模型方法是研究化学反应机理的主要方法之一,是任何化学工艺过程的基础。其目的是确定各个反应阶段的动力学参数。这类问题的研究对象是必须确定其参数的微分方程组。类似的问题属于逆系数问题。它们的特点是实验数据很少,往往不允许使用统计方法来处理现有的信息。本文提出了一种用于动力学模型参数识别的方法,该方法扩展了L.V. Kantorovich方法,该方法允许为感兴趣的参数定义精确的双边边界。以建立4-叔丁基邻苯二酚合成过程动力学模型为例进行了验证。所得结果为确定所研究反应中氧化剂的最佳供给方式提供了可能。
{"title":"Mathematical Modeling and Optimization of Chemical and Technological Processes","authors":"S. Spivak, O. Kantor","doi":"10.1109/SUMMA48161.2019.8947582","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947582","url":null,"abstract":"Kinetic models approach is one of the main methods for studying the mechanisms of chemical reactions that underlie any chemical-technological process. Its aim is to determine the kinetic parameters of individual reaction stages. The object of investigation in such problems are systems of differential equations the parameters for which must be established. Similar problems belong to the class of inverse coefficient problems. Their characteristic feature is a small amount of experimental data, which often does not allow the use of statistical methods for processing available information. A method for the parametric identification of kinetic models that extends L.V. Kantorovich approach that allows to define exact bilateral boundaries for the parameters of interest, is presented in this paper. It was tested on the example of constructing a kinetic model of the process for synthesizing 4-tert-butylpyrocatechol. The obtained results made it possible to determine the optimal mode of oxidant supply in the investigated reaction.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114427523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Risk Assessment in Human Resource Management Using Predictive Staff Turnover Analysis 基于预测性员工离职分析的人力资源管理风险评估
Timofey Tarusov, O. Mitrofanova
Analysis of personnel risks is one of the important tasks in personnel management. Staff turnover is one of the pressing topics in human resource management. The article analyzes the possible causes of staff turnover in a machine-building enterprise, taking into account various variables. To better understand the nature of the relationships between the variables, a correlation matrix was constructed. The created model based on the random tree algorithm allowed to develop a classification of employees with the characteristics of a possible departure from the company.
人事风险分析是人事管理的重要内容之一。员工流失是人力资源管理中亟待解决的问题之一。本文分析了某机械制造企业员工流失的可能原因,考虑了各种变量。为了更好地理解变量之间关系的本质,我们构建了一个相关矩阵。基于随机树算法创建的模型允许开发具有可能离开公司特征的员工分类。
{"title":"Risk Assessment in Human Resource Management Using Predictive Staff Turnover Analysis","authors":"Timofey Tarusov, O. Mitrofanova","doi":"10.1109/SUMMA48161.2019.8947527","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947527","url":null,"abstract":"Analysis of personnel risks is one of the important tasks in personnel management. Staff turnover is one of the pressing topics in human resource management. The article analyzes the possible causes of staff turnover in a machine-building enterprise, taking into account various variables. To better understand the nature of the relationships between the variables, a correlation matrix was constructed. The created model based on the random tree algorithm allowed to develop a classification of employees with the characteristics of a possible departure from the company.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128480761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Electric Arc Plasma Installation with Control Information-Measuring System 电弧等离子体装置与控制信息测量系统
V. Meshcheryakov, V. Pikalov, A. Evseev, O. Danilova, S. Ambrosimov
We have considered the design of electric arc plasma installation, called plasmatron, with a vertical working chamber, enable the production of high-temperature plasma during the combustion of the plasma gas passing through the electric arc. The plasma torch is designed for utilization of carbon-containing wastes and slurries of processing industries. Famous electric arc plasma systems have some disadvantages, the main of which are the complexity of the design and the complexity of regulating the performance of the installation that produces plasma. The peculiarity of the proposed plasma torch is the effect of an external electromagnetic field on the arc. This allows the arc to be pulled out and out of the tubular housing. The equation describing the arc current change in dynamic modes is given. The experimental electric arc installation for plasma generation is considered, the results of experiments are analyzed. The role of the control and information-measuring system to ensure the normal operation of the installation is shown.
我们考虑了电弧等离子体装置的设计,称为等离子体发生器,具有垂直的工作腔,使等离子体气体通过电弧燃烧时产生高温等离子体。等离子炬是为加工工业中含碳废物和浆料的利用而设计的。著名的电弧等离子体系统存在一些缺点,主要是设计复杂,产生等离子体的装置性能调节复杂。所提出的等离子炬的特点是外部电磁场对电弧的影响。这使得弧线可以拉出管状外壳。给出了动态模式下电弧电流变化的方程。研究了等离子体产生实验电弧装置,并对实验结果进行了分析。说明了控制与信息测量系统在保证装置正常运行中的作用。
{"title":"Electric Arc Plasma Installation with Control Information-Measuring System","authors":"V. Meshcheryakov, V. Pikalov, A. Evseev, O. Danilova, S. Ambrosimov","doi":"10.1109/SUMMA48161.2019.8947588","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947588","url":null,"abstract":"We have considered the design of electric arc plasma installation, called plasmatron, with a vertical working chamber, enable the production of high-temperature plasma during the combustion of the plasma gas passing through the electric arc. The plasma torch is designed for utilization of carbon-containing wastes and slurries of processing industries. Famous electric arc plasma systems have some disadvantages, the main of which are the complexity of the design and the complexity of regulating the performance of the installation that produces plasma. The peculiarity of the proposed plasma torch is the effect of an external electromagnetic field on the arc. This allows the arc to be pulled out and out of the tubular housing. The equation describing the arc current change in dynamic modes is given. The experimental electric arc installation for plasma generation is considered, the results of experiments are analyzed. The role of the control and information-measuring system to ensure the normal operation of the installation is shown.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129118229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Approaches to Construct a Psychological Portrait of Users Based on Analysis of Data in Open Profiles of Social Networks 基于社交网络公开档案数据分析的用户心理画像构建方法
Evgenia Ishukova, V. Salmanov, A. Kalyabin, A. Antonenko
Most of the free time a modern Internet user spends in various social networks, while publishing various information, news from his life, interested in content, communicating with friends. This paper presents approaches to the construction of psychological analysis on the basis of data posted by the user in the public domain on his page in the social network. The paper describes the algorithms of machine learning and construction of a neural network designed to solve this problem, as well as the results obtained.
现代互联网用户的大部分空闲时间都花在各种社交网络上,同时发布各种信息,他生活中的新闻,对内容感兴趣,与朋友交流。本文提出了基于公共领域用户在其社交网络页面上发布的数据构建心理分析的方法。本文介绍了解决这一问题的机器学习算法和神经网络的构建,以及所得到的结果。
{"title":"Approaches to Construct a Psychological Portrait of Users Based on Analysis of Data in Open Profiles of Social Networks","authors":"Evgenia Ishukova, V. Salmanov, A. Kalyabin, A. Antonenko","doi":"10.1109/SUMMA48161.2019.8947520","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947520","url":null,"abstract":"Most of the free time a modern Internet user spends in various social networks, while publishing various information, news from his life, interested in content, communicating with friends. This paper presents approaches to the construction of psychological analysis on the basis of data posted by the user in the public domain on his page in the social network. The paper describes the algorithms of machine learning and construction of a neural network designed to solve this problem, as well as the results obtained.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116189307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Description of a Miniaturization Tool for a Directional Coupler on a Microwave Substrate 微波基板上定向耦合器小型化工具的描述
L. Hung, P. H. Tan
This paper describes a tool that allows you to quickly and easily get a compact topology of a planar microwave device. The description was based on a conventional 2 GHz coupler. The whole approach to miniaturization of the coupler is to synthesize the necessary structures. These structures consist of a combination of an inductive and capacitive element, this allows you to get similar characteristics with a conventional line, but the structure has a significantly shorter length. The installation of such structures in place of the segments and allows for the miniaturization procedure. However, of course, with miniaturization, a negative effect arises of changing the frequency characteristics, in the direction of their deterioration.
本文介绍了一个工具,可以让你快速,容易地得到一个紧凑的拓扑结构的平面微波器件。描述是基于一个传统的2ghz耦合器。实现耦合器小型化的全部途径是综合必要的结构。这些结构由电感和电容元件的组合组成,这使得您可以获得与传统线路相似的特性,但结构的长度明显较短。这种结构的安装取代了节段,并允许小型化程序。然而,当然,随着小型化,在频率特性恶化的方向上,改变频率特性会产生负面影响。
{"title":"Description of a Miniaturization Tool for a Directional Coupler on a Microwave Substrate","authors":"L. Hung, P. H. Tan","doi":"10.1109/SUMMA48161.2019.8947612","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947612","url":null,"abstract":"This paper describes a tool that allows you to quickly and easily get a compact topology of a planar microwave device. The description was based on a conventional 2 GHz coupler. The whole approach to miniaturization of the coupler is to synthesize the necessary structures. These structures consist of a combination of an inductive and capacitive element, this allows you to get similar characteristics with a conventional line, but the structure has a significantly shorter length. The installation of such structures in place of the segments and allows for the miniaturization procedure. However, of course, with miniaturization, a negative effect arises of changing the frequency characteristics, in the direction of their deterioration.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121550702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Mathematical Analysis of the Maltus Population Model in a Variable Environment 变环境下马耳他种群模型的数学分析
A. A. Kaygermazov, F. Kudayeva, D. A. Khashkhozheva, A. Zhemukhov, S. B. Balkarova, M. B. Etezova
The construction and application of mathematical models is the main means of knowledge of each science. Currently mathematical models along with physical and chemical are a powerful tool in the study of biological problems. One of the main elements in the construction of mathematical models describing the dynamics of the isolated population is to take info account the population under the influence of factors of different nature. Balance considerations underlie the construction of both discrete and continuous mathematical models of population dynamics. If the development of the population is carried out synchronously then it is convenient to use discrete models to describe its dynamics. At the same time, due to the fact that the death and birth of individuals is continuous, the use of discrete models in practice is limited. Therefore the most widely used in practice and deeply studied is a class of models based on ordinary differential equations. Therefore, the most widely used in practice and sufficiently deeply studied analytically is a class of models built on the basis of ordinary differential equations. The proposed work is devoted to the study of a constant population model of Malthus in a nonstationary environment for different values of the growth coefficient. Exact analytical solutions of the Cauchy problem are found. The schemes of identification of growth parameters on the basis of the interval between two consecutive divisions are constructed. Test calculations on the computer are carried out. Graphs of population size change are constructed. The obtained results allow us to conclude that the Malthus model describing the exponential phase of population development can describe in particular the logistic process of continuous growth.
数学模型的构建和应用是各学科获取知识的主要手段。目前,数学模型与物理和化学模型一起是研究生物问题的有力工具。建立描述孤立种群动态的数学模型的主要内容之一是考虑受不同性质因素影响的种群。平衡考虑是建立人口动态的离散和连续数学模型的基础。如果种群的发展是同步进行的,则可以方便地使用离散模型来描述其动态。同时,由于个体的死亡和出生是连续的,离散模型在实践中的应用受到限制。因此,在实践中应用最广泛和研究最深入的是一类基于常微分方程的模型。因此,在实践中应用最广泛、分析研究最深入的是一类建立在常微分方程基础上的模型。本文研究了在不同生长系数值的非平稳环境下的马尔萨斯恒定种群模型。给出了柯西问题的精确解析解。构造了基于两个连续分割间隔的生长参数识别方案。在计算机上进行了试验计算。构造了种群规模变化曲线图。所得的结果使我们可以得出这样的结论:描述人口发展指数阶段的马尔萨斯模型可以特别地描述连续增长的逻辑过程。
{"title":"Mathematical Analysis of the Maltus Population Model in a Variable Environment","authors":"A. A. Kaygermazov, F. Kudayeva, D. A. Khashkhozheva, A. Zhemukhov, S. B. Balkarova, M. B. Etezova","doi":"10.1109/SUMMA48161.2019.8947490","DOIUrl":"https://doi.org/10.1109/SUMMA48161.2019.8947490","url":null,"abstract":"The construction and application of mathematical models is the main means of knowledge of each science. Currently mathematical models along with physical and chemical are a powerful tool in the study of biological problems. One of the main elements in the construction of mathematical models describing the dynamics of the isolated population is to take info account the population under the influence of factors of different nature. Balance considerations underlie the construction of both discrete and continuous mathematical models of population dynamics. If the development of the population is carried out synchronously then it is convenient to use discrete models to describe its dynamics. At the same time, due to the fact that the death and birth of individuals is continuous, the use of discrete models in practice is limited. Therefore the most widely used in practice and deeply studied is a class of models based on ordinary differential equations. Therefore, the most widely used in practice and sufficiently deeply studied analytically is a class of models built on the basis of ordinary differential equations. The proposed work is devoted to the study of a constant population model of Malthus in a nonstationary environment for different values of the growth coefficient. Exact analytical solutions of the Cauchy problem are found. The schemes of identification of growth parameters on the basis of the interval between two consecutive divisions are constructed. Test calculations on the computer are carried out. Graphs of population size change are constructed. The obtained results allow us to conclude that the Malthus model describing the exponential phase of population development can describe in particular the logistic process of continuous growth.","PeriodicalId":163496,"journal":{"name":"2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121598788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1