Qualitative behavior of a host-pathogen model

被引：9

作者：

Din, Qamar ^{[1
]}

Khan, Abdul Qadeer ^{[1
]}

Qureshi, Muhammad Naeem ^{[1
]}

机构：

[1] Univ Azad Jammu & Kashmir, Dept Math, Muzaffarabad, Pakistan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

difference equations; local stability; global character; ASYMPTOTIC-BEHAVIOR; PERIODIC-SOLUTIONS; SYSTEM;

D O I：

10.1186/1687-1847-2013-263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the qualitative behavior of a discrete-time host-pathogen model for spread of an infectious disease with permanent immunity. The time-step is equal to the duration of the infectious phase. Moreover, the local asymptotic stability, the global behavior of unique positive equilibrium point, and the rate of convergence of positive solutions is discussed. Some numerical examples are given to verify our theoretical results.

引用

页数：13

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