Qualitative behavior of a discrete SIR epidemic model

作     者：Qamar Din 

作者机构：Department of MathematicsThe University of Poonch Rawalakot Rawalakot 12350 Pakistan 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2016年第9卷第6期

页      面：225-239页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 081104[工学-模式识别与智能系统] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Discrete epidemic model steady-states local asymptotic stability globalbehavior. 

摘      要：In this paper, we study the qualitative behavior of a discrete-time epidemic model. More precisely, we investigate equilibrium points, asymptotic stability of both disease^free equilibrium and the endemic equilibrium. Furthermore, by using comparison method, we obtain the global stability of these equilibrium points under certain parametric con- ditions. Some illustrative examples are provided to support our theoretical discussion.