Revista integración, temas de matemáticas最新文献

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Inequalities for D−Synchronous Functions and Related Functionals D -同步函数及相关函数的不等式
Revista integración, temas de matemáticas Pub Date : 2020-11-20 DOI: 10.18273/revint.v38n2-2020005
S. Dragomir
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引用次数: 0
Mathematical modelling for malaria under resistance and population movement 疟疾在抵抗和人口流动下的数学模型
Revista integración, temas de matemáticas Pub Date : 2020-11-20 DOI: 10.18273/revint.v38n2-2020006
Cristhian Montoya, J. P. R. Leitón
{"title":"Mathematical modelling for malaria under resistance and population movement","authors":"Cristhian Montoya, J. P. R. Leitón","doi":"10.18273/revint.v38n2-2020006","DOIUrl":"https://doi.org/10.18273/revint.v38n2-2020006","url":null,"abstract":"In this work, two mathematical models for malaria under resistance are presented. More precisely, the first model shows the interaction between humans and mosquitoes inside a patch under infection of malaria when the human population is resistant to antimalarial drug and mosquitoes population is resistant to insecticides. For the second model, human–mosquitoes population movements in two patches is analyzed under the same malaria transmission dynamic established in a patch. For a single patch, existence and stability conditions for the equilibrium solutions in terms of the local basic reproductive number are developed. These results reveal the existence of a forward bifurcation and the global stability of disease–free equilibrium. In the case of two patches, a theoretical and numerical framework on sensitivity analysis of parameters is presented. After that, the use of antimalarial drugs and insecticides are incorporated as control strategies and an optimal control problem is formulated. Numerical experiments are carried out in both models to show the feasibility of our theoretical results.","PeriodicalId":173965,"journal":{"name":"Revista integración, temas de matemáticas","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115475883","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
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