文章基本信息

标题：Stability Analysis of the Vector-Host Epidemic Model for Cholera
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作者：Sukanya Isuntier ; Ekkachai Kunnawuttipreechachan
期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2018
卷号：2233&2234
页码：446-449
出版社：Newswood and International Association of Engineers
摘要：A mathematical model of cholera disease is a valuable tool for studying the dynamics and simulating effects of possible treatment. In this work, we analyze the cholera disease model with both vector and host populations. The purpose of this project is to thoroughly investigate stability properties of the models equilibria related to the basic reproduction number, R0. The Lyapunov function method is applied to find the conditions in which the disease-free equilibrium is asymptotically stable. The result shows that if R0 is less than unity, then the cholera disease will eventually die out. Moreover, the models parameters could be controlled in order to prevent the further spread of a cholera outbreak.
关键词：Equilibrium; Basic Reproduction Number; Lyapunov Function; Stability Analysis;