Pub Date : 2020-12-11DOI: 10.11648/j.mcs.20200505.12
Fekadu Tadege Kobe
This paper proposes and analyses a basic deterministic mathematical model to investigate Modeling and Analysis of effect of awareness program by media on the spread COVID-19 Pandemic Disease. The model has seven non-linear differential equations, which describe the effects of awareness programs by media on the spread of COVID-19 Pandemic diseases. Analytical study carried out to investigate the model analysis and existence of stability of system, given threshold parameters known as the basic reproduction number, which obtained using next generation matrix method. The equilibrium of COVID 19 models is determined. In addition to having a disease-free equilibrium, which is globally asymptotically stable when the basic reproduction number less than one, COVID 19 model manifest one's possession of (a quality of) the phenomenon of backward bifurcation where a stable disease-free equilibrium co-exists (at the same time) with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The analysis and simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of COVID 19 pandemic were suggest using that awareness programs through the media campaigning are helpful in decreasing the spread of COVID 19 Pandemic diseases by isolating a fraction of susceptible from infective.
{"title":"Modelling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease","authors":"Fekadu Tadege Kobe","doi":"10.11648/j.mcs.20200505.12","DOIUrl":"https://doi.org/10.11648/j.mcs.20200505.12","url":null,"abstract":"This paper proposes and analyses a basic deterministic mathematical model to investigate Modeling and Analysis of effect of awareness program by media on the spread COVID-19 Pandemic Disease. The model has seven non-linear differential equations, which describe the effects of awareness programs by media on the spread of COVID-19 Pandemic diseases. Analytical study carried out to investigate the model analysis and existence of stability of system, given threshold parameters known as the basic reproduction number, which obtained using next generation matrix method. The equilibrium of COVID 19 models is determined. In addition to having a disease-free equilibrium, which is globally asymptotically stable when the basic reproduction number less than one, COVID 19 model manifest one's possession of (a quality of) the phenomenon of backward bifurcation where a stable disease-free equilibrium co-exists (at the same time) with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The analysis and simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of COVID 19 pandemic were suggest using that awareness programs through the media campaigning are helpful in decreasing the spread of COVID 19 Pandemic diseases by isolating a fraction of susceptible from infective.","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79199794","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}
Pub Date : 2020-11-20DOI: 10.1007/s11786-020-00497-7
F. Botana, Z. Kovács, T. Recio
{"title":"A Mechanical Geometer","authors":"F. Botana, Z. Kovács, T. Recio","doi":"10.1007/s11786-020-00497-7","DOIUrl":"https://doi.org/10.1007/s11786-020-00497-7","url":null,"abstract":"","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85646041","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}
Pub Date : 2020-10-20DOI: 10.1007/s11786-021-00515-2
Niclas Kruff, Christoph Lüders, O. Radulescu, T. Sturm, S. Walcher
{"title":"Algorithmic Reduction of Biological Networks with Multiple Time Scales","authors":"Niclas Kruff, Christoph Lüders, O. Radulescu, T. Sturm, S. Walcher","doi":"10.1007/s11786-021-00515-2","DOIUrl":"https://doi.org/10.1007/s11786-021-00515-2","url":null,"abstract":"","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87865628","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}
Pub Date : 2020-09-15DOI: 10.11648/J.MCS.20200504.11
A. Njeru
The rapid growth of educational data mining (EDM) is an emerging field in the academic world of research and studies focusing on collection, archiving, and analysis of data related to delivery methodology, quality of materials and student learning and assessment. The information analyzed informs the learning institution on how to improve learning experiences and how to run the institutional effectively. The people responsible for making decisions in the learning institution will able to make informed data-driven decisions. This paper explores the value of the Internet of Things (IoT) in capturing and mastering massive data for online courses to assess and identify typical learning scenarios for learners. We hope this would be a useful instrumental tool for the range of approaches in education institutions to help their struggling learners to succeed in the academic field.
{"title":"IoTs for Data Collection and Trends Prediction of Online Learning Courses","authors":"A. Njeru","doi":"10.11648/J.MCS.20200504.11","DOIUrl":"https://doi.org/10.11648/J.MCS.20200504.11","url":null,"abstract":"The rapid growth of educational data mining (EDM) is an emerging field in the academic world of research and studies focusing on collection, archiving, and analysis of data related to delivery methodology, quality of materials and student learning and assessment. The information analyzed informs the learning institution on how to improve learning experiences and how to run the institutional effectively. The people responsible for making decisions in the learning institution will able to make informed data-driven decisions. This paper explores the value of the Internet of Things (IoT) in capturing and mastering massive data for online courses to assess and identify typical learning scenarios for learners. We hope this would be a useful instrumental tool for the range of approaches in education institutions to help their struggling learners to succeed in the academic field.","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78628169","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}
Pub Date : 2020-08-26DOI: 10.11648/j.mcs.20200503.11
Daoquan Li, Haoxin Liu, Yingnan Jin
Aiming at the common load balancing problems in the network, a multi-path load balancing strategy (MPF-MLBS) based on multi-performance factor (MPF) for Software Defined Network (SDN) networks is proposed, which can be divided into two stages: algorithm design and strategy implementation. In the algorithm design stage, the advantages and disadvantages of the existing load balancing algorithms are analyzed, combined with the characteristics of the SDN network architecture, and the bandwidth, delay and link rate of the network link are comprehensively considered. Based on this, multiple performance factors are defined, and a load balancing algorithm based on multiple performance factors (MPF-CMP) is designed and implemented. In the strategy implementation stage, build a multi-path network topology based on the SDN architecture, and use the depth-first traversal algorithm to traverse the global network to obtain the required link information; Subsequently, the MPF-CMP algorithm and OpenFlow group table technology are combined to complete the proportional distribution of network traffic to each available path, thereby achieving multi-path load balancing of the SDN network. The simulation experiment results show that the strategy effectively exerts the SDN controller's overall network monitoring and scheduling functions, can obtain link information in real time and distribute and transmit network traffic according to the situation. The overload of a single path is avoided, the data packet transmission volume of all available paths is effectively increased, the flow transmission efficiency of the entire network is improved, and the multi-path load balancing of the SDN network is realized.
{"title":"MPF-MLBS: A Multi-path Load Balancing Strategy for SDN Networks Based on Multiple Performance Factors","authors":"Daoquan Li, Haoxin Liu, Yingnan Jin","doi":"10.11648/j.mcs.20200503.11","DOIUrl":"https://doi.org/10.11648/j.mcs.20200503.11","url":null,"abstract":"Aiming at the common load balancing problems in the network, a multi-path load balancing strategy (MPF-MLBS) based on multi-performance factor (MPF) for Software Defined Network (SDN) networks is proposed, which can be divided into two stages: algorithm design and strategy implementation. In the algorithm design stage, the advantages and disadvantages of the existing load balancing algorithms are analyzed, combined with the characteristics of the SDN network architecture, and the bandwidth, delay and link rate of the network link are comprehensively considered. Based on this, multiple performance factors are defined, and a load balancing algorithm based on multiple performance factors (MPF-CMP) is designed and implemented. In the strategy implementation stage, build a multi-path network topology based on the SDN architecture, and use the depth-first traversal algorithm to traverse the global network to obtain the required link information; Subsequently, the MPF-CMP algorithm and OpenFlow group table technology are combined to complete the proportional distribution of network traffic to each available path, thereby achieving multi-path load balancing of the SDN network. The simulation experiment results show that the strategy effectively exerts the SDN controller's overall network monitoring and scheduling functions, can obtain link information in real time and distribute and transmit network traffic according to the situation. The overload of a single path is avoided, the data packet transmission volume of all available paths is effectively increased, the flow transmission efficiency of the entire network is improved, and the multi-path load balancing of the SDN network is realized.","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74567533","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}
Pub Date : 2020-06-26DOI: 10.1007/s11786-020-00492-y
Dongming Wang, Bo Huang, Xiaoyu Chen
{"title":"On n-sectors of the Angles of an Arbitrary Triangle","authors":"Dongming Wang, Bo Huang, Xiaoyu Chen","doi":"10.1007/s11786-020-00492-y","DOIUrl":"https://doi.org/10.1007/s11786-020-00492-y","url":null,"abstract":"","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86023991","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}
Pub Date : 2020-06-25DOI: 10.1007/s11786-020-00488-8
Xiaoyu Chen, Hongbo Li, Jing Yang
{"title":"Foreword to the Special Focus on Automated Deduction in Geometry","authors":"Xiaoyu Chen, Hongbo Li, Jing Yang","doi":"10.1007/s11786-020-00488-8","DOIUrl":"https://doi.org/10.1007/s11786-020-00488-8","url":null,"abstract":"","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77989525","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}
Pub Date : 2020-06-25DOI: 10.1007/s11786-020-00491-z
Z. Kovács
{"title":"Automated Detection of Interesting Properties in Regular Polygons","authors":"Z. Kovács","doi":"10.1007/s11786-020-00491-z","DOIUrl":"https://doi.org/10.1007/s11786-020-00491-z","url":null,"abstract":"","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84785781","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}
Pub Date : 2020-06-25DOI: 10.1007/s11786-020-00493-x
P. Todd
{"title":"A System for Automated Deduction in Engineering Mechanics","authors":"P. Todd","doi":"10.1007/s11786-020-00493-x","DOIUrl":"https://doi.org/10.1007/s11786-020-00493-x","url":null,"abstract":"","PeriodicalId":45105,"journal":{"name":"Mathematics in Computer Science","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83808724","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：