This paper focuses on the dynamics of the mathematical model by considering the effect of human conduct and the role of immunity on cholera contamination. Since, spreading of infection is commonly modeled with the help of classes of the SIR model, the model is formulated as a SIR model inaugurated with one more compartment B which showcases the concentration of bacteria in the polluted water. We have obtained the basic reproductive rate R0 and showcased local stability as well as global stability through geometrical approach. Without infection, equilibrium point (E0 ) is stable locally in conjunction with globally whenever 0 R <1. Similarly, the stability condition for endemic equilibrium E* is 0 R ≥ 1. Hence, our aim is basically to explore the outcome as to how the alertness of mankind can play an effective role in the dynamics of such infections.
本文通过考虑人类行为的影响和免疫对霍乱污染的作用，重点研究数学模型的动力学。由于感染的传播通常是在SIR模型的类别的帮助下建模的，因此该模型被制定为SIR模型，其中增加了一个隔间B，该隔间B显示了受污染水中细菌的浓度。我们得到了基本繁殖率R0，并通过几何方法展示了局部稳定性和全局稳定性。在没有感染的情况下，当0 R <1时，平衡点E0局部稳定，全局稳定。同样，地方性平衡E*的稳定条件为0 R≥1。因此，我们的目标基本上是探索人类的警觉性如何在这种感染的动态中发挥有效作用的结果。
{"title":"Dynamical analysis of effects of human behavior on cholera in context to specific strata’s","authors":"Chetan Swarup, Sudipa Chauhan, Amulya Chaudhary, Mamta Barik","doi":"10.47974/jim-1650","DOIUrl":"https://doi.org/10.47974/jim-1650","url":null,"abstract":"This paper focuses on the dynamics of the mathematical model by considering the effect of human conduct and the role of immunity on cholera contamination. Since, spreading of infection is commonly modeled with the help of classes of the SIR model, the model is formulated as a SIR model inaugurated with one more compartment B which showcases the concentration of bacteria in the polluted water. We have obtained the basic reproductive rate R0 and showcased local stability as well as global stability through geometrical approach. Without infection, equilibrium point (E0 ) is stable locally in conjunction with globally whenever 0 R <1. Similarly, the stability condition for endemic equilibrium E* is 0 R ≥ 1. Hence, our aim is basically to explore the outcome as to how the alertness of mankind can play an effective role in the dynamics of such infections.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"80 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468269","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}
Max-plus algebra is one of many idempotent semi-rings. The max-plus algebraic structure is semi field while the conventional algebra is a field. Because of their similar structure, various properties and concepts in the conventional algebra such as characteristic equations have max plus algebraic equivalence. The characteristic equation has been proved in the max-plus algebra. The other semi-field is min-plus algebra. Because of the structure in the min-plus algebra is also similar to the conventional algebra, the characteristic equation also has a min-plus algebraic equivalent. In this paper, it is discussed how to prove the characteristic equation of the matrix over conventional algebra into the min-plus algebra. The results are almost the same. The addition and multiplication operations in the conventional algebra are replaced by min and plus operations in the min-plus algebra. In addition, because of the min-plus algebra does not define the subtraction operation, the formulation of the characteristic equation of the matrix over min-plus algebra is not equal to zero.
{"title":"The characteristic equation of the matrix over min-plus algebra","authors":"","doi":"10.47974/jim-1593","DOIUrl":"https://doi.org/10.47974/jim-1593","url":null,"abstract":"Max-plus algebra is one of many idempotent semi-rings. The max-plus algebraic structure is semi field while the conventional algebra is a field. Because of their similar structure, various properties and concepts in the conventional algebra such as characteristic equations have max plus algebraic equivalence. The characteristic equation has been proved in the max-plus algebra. The other semi-field is min-plus algebra. Because of the structure in the min-plus algebra is also similar to the conventional algebra, the characteristic equation also has a min-plus algebraic equivalent. In this paper, it is discussed how to prove the characteristic equation of the matrix over conventional algebra into the min-plus algebra. The results are almost the same. The addition and multiplication operations in the conventional algebra are replaced by min and plus operations in the min-plus algebra. In addition, because of the min-plus algebra does not define the subtraction operation, the formulation of the characteristic equation of the matrix over min-plus algebra is not equal to zero.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468434","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}
Adel Almalki, Y. M. Alawaideh, B. M. Al-Khamiseh, Samer Alawaideh
A comparative analysis of the Hamiltonian and Lagrangian equations for the Maxwell field was conducted, and it was demonstrated that both methods are equivalent. Dirac’s and Euler’s techniques were employed to handle the Hamiltonian approach. Additionally, a novel fractional Hamilton formulation was developed for the Maxwell field using fractional derivatives. This formulation yielded a fractional Riemann-Liouville derivative operator and a fractional Hamilton function in terms of the variables Ai, Aj, and A0. The effectiveness of this approach was verified by employing it to examine Maxwell’s electrodynamic equation, and the results obtained were in perfect agreement, confirming the validity of the study
{"title":"Hamilton formulation for the electrodynamics of generalized maxwell using fractional derivatives","authors":"Adel Almalki, Y. M. Alawaideh, B. M. Al-Khamiseh, Samer Alawaideh","doi":"10.47974/jim-1594","DOIUrl":"https://doi.org/10.47974/jim-1594","url":null,"abstract":"A comparative analysis of the Hamiltonian and Lagrangian equations for the Maxwell field was conducted, and it was demonstrated that both methods are equivalent. Dirac’s and Euler’s techniques were employed to handle the Hamiltonian approach. Additionally, a novel fractional Hamilton formulation was developed for the Maxwell field using fractional derivatives. This formulation yielded a fractional Riemann-Liouville derivative operator and a fractional Hamilton function in terms of the variables Ai, Aj, and A0. The effectiveness of this approach was verified by employing it to examine Maxwell’s electrodynamic equation, and the results obtained were in perfect agreement, confirming the validity of the study","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468509","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}
Sakshi Choudhary, Arun Kumar, Mohit K. Sharma, Mehedi Masud
Research found that 70% of the spectrum is not being used. Energy, feature detection, and matched filters are just a few of the techniques that have been suggested in the past. A matching filter is used in this study to determine whether a spectrum is free or already in use by the primary user. In this case, if the licensed spectrum for a primary user is not needed, a secondary user may access it. The simulation is carried out by the MATLAB simulation software using the output signals from the OFDM model (proposed model) and NOMA model as inputs. Later in this study, a number of metrics are examined and contrasted with current technology, including probability of detection (PD) and probability of false alarm (PFA).
{"title":"A mathematical investigation of multi-carrier waveform with AI based matched filter detection","authors":"Sakshi Choudhary, Arun Kumar, Mohit K. Sharma, Mehedi Masud","doi":"10.47974/jim-1663","DOIUrl":"https://doi.org/10.47974/jim-1663","url":null,"abstract":"Research found that 70% of the spectrum is not being used. Energy, feature detection, and matched filters are just a few of the techniques that have been suggested in the past. A matching filter is used in this study to determine whether a spectrum is free or already in use by the primary user. In this case, if the licensed spectrum for a primary user is not needed, a secondary user may access it. The simulation is carried out by the MATLAB simulation software using the output signals from the OFDM model (proposed model) and NOMA model as inputs. Later in this study, a number of metrics are examined and contrasted with current technology, including probability of detection (PD) and probability of false alarm (PFA).","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468641","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}
We will add new types of modules over a ring ℜ called generalized semi-regular modules. Assuming ℜ is a ring with identity and M is a unitary left ℜ-module which is a duality. We show that our new ideas have characterization and a few properties.
{"title":"Generalization of semi-regular modules","authors":"Aseel Amer Hassan, H. Q. Hamdi","doi":"10.47974/jim-1506","DOIUrl":"https://doi.org/10.47974/jim-1506","url":null,"abstract":"We will add new types of modules over a ring ℜ called generalized semi-regular modules. Assuming ℜ is a ring with identity and M is a unitary left ℜ-module which is a duality. We show that our new ideas have characterization and a few properties.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70466885","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}
N. Neelima, J. N. C. Sekhar, Lokaiah Pullagura, P. S. G. A. Sri, D. K. Saini, Sandeep Dwarkanath Pande
Intelligent Autonomous Agents (IAAs) is basic to the endurance and improvement of the firm, making new items as a wellspring of supportable upper hand. Based on Information-based hypothesis, this paper centers around the four measurements that are obtaining, processing, change double-dealing and investigated the connection between absorptive limit and item advancement execution from the possible absorptive limit and acknowledged absorptive limit. This paper is useful to clarify the irregularity between absorptive limit and item advancement execution in surviving exploration, and further uncover the system between absorptive limit and new item development execution, enhance, extend the absorptive limit hypothesis and item advancement hypothesis by joining the two speculations. This paper can assist firms with explaining the connection between potential absorptive limit acknowledged absorptive limit and development execution, and give reference to firm dynamic, and can likewise give direction viably to firms to dispense assets.
{"title":"Development in intelligent autonomous agents for the high-level cognitive functions like reasoning, planning, learning and abstraction","authors":"N. Neelima, J. N. C. Sekhar, Lokaiah Pullagura, P. S. G. A. Sri, D. K. Saini, Sandeep Dwarkanath Pande","doi":"10.47974/jim-1661","DOIUrl":"https://doi.org/10.47974/jim-1661","url":null,"abstract":"Intelligent Autonomous Agents (IAAs) is basic to the endurance and improvement of the firm, making new items as a wellspring of supportable upper hand. Based on Information-based hypothesis, this paper centers around the four measurements that are obtaining, processing, change double-dealing and investigated the connection between absorptive limit and item advancement execution from the possible absorptive limit and acknowledged absorptive limit. This paper is useful to clarify the irregularity between absorptive limit and item advancement execution in surviving exploration, and further uncover the system between absorptive limit and new item development execution, enhance, extend the absorptive limit hypothesis and item advancement hypothesis by joining the two speculations. This paper can assist firms with explaining the connection between potential absorptive limit acknowledged absorptive limit and development execution, and give reference to firm dynamic, and can likewise give direction viably to firms to dispense assets.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468572","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}
Chandrakant D. Kokane, S. Babar, P. Mahalle, Shivprasad P. Patil
Word embedding is the method of representing ambiguous words into word vectors. The existing methods of word embedding are applicable for homonymous words. Constructing word vector of polysemous words is the challenge. The word vector of polysemous words are made by considering context information. The proposed adaptive word embedding technique is discussed in this article. The adaptive word embedding technique is applicable for both homosemous and polysemous words. While representing ambiguous word into word vector the context information is considered. The adaptive word embedding technique generates dynamic word vector for ambiguous word. The word vector with dimension size 198 is created here. There are 198 features are considered in the discussed model. The countable nouns are used as features in adaptive word embedding.
{"title":"Word sense disambiguation: Mathematical modelling of adaptive word embedding technique for word vector","authors":"Chandrakant D. Kokane, S. Babar, P. Mahalle, Shivprasad P. Patil","doi":"10.47974/jim-1675","DOIUrl":"https://doi.org/10.47974/jim-1675","url":null,"abstract":"Word embedding is the method of representing ambiguous words into word vectors. The existing methods of word embedding are applicable for homonymous words. Constructing word vector of polysemous words is the challenge. The word vector of polysemous words are made by considering context information. The proposed adaptive word embedding technique is discussed in this article. The adaptive word embedding technique is applicable for both homosemous and polysemous words. While representing ambiguous word into word vector the context information is considered. The adaptive word embedding technique generates dynamic word vector for ambiguous word. The word vector with dimension size 198 is created here. There are 198 features are considered in the discussed model. The countable nouns are used as features in adaptive word embedding.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468952","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}
In this paper, we introduce ~normal operator on a b-Hilbert space, we will discuss some properties of these operators. Study b-spectrum of ~normal operator on finite dimension b-Hilbert space, we show that b-eigenvectors of ~normal operator are b-orthogonal.
{"title":"A~normal operator on a b-Hilbert space","authors":"Safa L. Hamad, Zeana Z. Jamil","doi":"10.47974/jim-1536","DOIUrl":"https://doi.org/10.47974/jim-1536","url":null,"abstract":"In this paper, we introduce ~normal operator on a b-Hilbert space, we will discuss some properties of these operators. Study b-spectrum of ~normal operator on finite dimension b-Hilbert space, we show that b-eigenvectors of ~normal operator are b-orthogonal.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"49 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468128","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}
In this paper, the concept of fully fuzzy visible modules has been introduced. Many of the properties that distinguish this concept have been proven. Also, the direct sum of two fully fuzzy visible modules have been studied. Some results have been given that clarify of this study.
{"title":"Fully fuzzy visible modules with distinguishing results","authors":"Sajda K. Mohammed, B. N. Shihab","doi":"10.47974/jim-1528","DOIUrl":"https://doi.org/10.47974/jim-1528","url":null,"abstract":"In this paper, the concept of fully fuzzy visible modules has been introduced. Many of the properties that distinguish this concept have been proven. Also, the direct sum of two fully fuzzy visible modules have been studied. Some results have been given that clarify of this study.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"21 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467727","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}
Vishwas Deep Joshi, Saurabh Singh Naharwar, Jagdev Singh, K. Nisar
This work shows a transportation problem (TP) that can be thought of as the sum of a linear function and a linear fractional function. Here, the linear function shows the total transportation cost, and the linear fractional function shows the proportion of damaged objects and the transport profit. We aim to set up a transportation plan that reduces the total transportation cost and the proportion of total damage to the object to the total profit. Here we are discussing three types of objective functions as: linear plus linear fractional, linearfractional, and linear separately. We formulated a TP using the three objective functions for the solution. We solve all three objective functions for different weights with the proposed method and get a compromise solution.
{"title":"An improved solution approach for solving multi-objective linear and linear fractional transportation problem","authors":"Vishwas Deep Joshi, Saurabh Singh Naharwar, Jagdev Singh, K. Nisar","doi":"10.47974/jim-1652","DOIUrl":"https://doi.org/10.47974/jim-1652","url":null,"abstract":"This work shows a transportation problem (TP) that can be thought of as the sum of a linear function and a linear fractional function. Here, the linear function shows the total transportation cost, and the linear fractional function shows the proportion of damaged objects and the transport profit. We aim to set up a transportation plan that reduces the total transportation cost and the proportion of total damage to the object to the total profit. Here we are discussing three types of objective functions as: linear plus linear fractional, linearfractional, and linear separately. We formulated a TP using the three objective functions for the solution. We solve all three objective functions for different weights with the proposed method and get a compromise solution.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468558","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：