Qualitative behavior of a host-pathogen model

Advances in Difference Equations

Muhammad Naeem Qureshi¹  Qamar Din¹  Abdul Qadeer Khan¹ 

[1] Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan

关键词: difference equations;    local stability;    global character;   

DOI  :  10.1186/1687-1847-2013-263

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:39A10, 40A05.

【 授权许可】

CC BY