Global Stability for a Heroin Model with Age-Dependent Susceptibility

查看全文 作　　者：FANG [1,2]Bin;LI [1]Xuezhi;MARTCHEVA [3]Maia;CAI [1]Liming

机构地区：[1]Department of Mathematics, Xinyang Normal University;[2]Beijing Institute of Information and Control;[3]Department of Mathematics, University of Florida

出　　处：《Journal of Systems Science & Complexity》索引2015年第28卷第6期,共15页

基　　金：supported partially by the National Natural Science Foundation of China under Grant Nos.11271314;11371305 摘　　要：This paper considers global asymptotic properties for an age-structured model of heroin use based on the principles of mathematical epidemiology where the incidence rate depends on the age of susceptible individuals. The basic reproduction number of the heroin spread is obtained. It completely determines the stability of equilibria. By using the direct Lyapunov method with Volterra type Lyapunov function, the authors show that the drug-free equilibrium is globally asymptotically stable if the basic reproduction number is less than one, and the unique drug spread equilibrium is globally asymptotically stable if the basic reproduction number is greater than one. 关键词：全局稳定性年龄结构结构模型海洛因 Lyapunov函数 LYAPUNOV方法依赖性 VOLTERRA型

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Global Stability for a Heroin Model with Age-Dependent Susceptibility

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