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Discrete Dynamics in Nature and Society
Volume 2016, Article ID 7871251, 16 pages
Research Article

Stability and Persistence of an Avian Influenza Epidemic Model with Impacts of Climate Change

1Department of Basic Courses, Henan Quality Engineering Vocational College, Pingdingshan 467001, China
2College of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, China
3School of Advanced Sciences, VIT University, Chennai Campus, Chennai 600127, India
4College of Mathematics and Physics, Anyang Institute of Technology, Anyang 455000, China

Received 14 December 2015; Accepted 11 April 2016

Academic Editor: Ciprian G. Gal

Copyright © 2016 Xiao-Yan Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The growing number of reported avian influenza cases has prompted awareness of the importance of research methods to control the spread of the disease. Seasonal variation is one of the important factors that affect the spread of avian influenza. This paper presents a “nonautonomous” model to analyze the transmission dynamics of avian influenza with the effects of climate change. We obtain and discuss the global stability conditions of the disease-free equilibrium; the threshold conditions for persistence, permanence, and extinction of the disease; and the parameters with periodicity for controlling and eliminating the avian influenza.