TITLE:
The Stability of Highly Pathogenic Avian Influenza Epidemic Model with Saturated Contact Rate
AUTHORS:
Shuqin Che, Yakui Xue, Likang Ma
KEYWORDS:
Avian Influenza, The Basic Reproduction Number, Stability
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.21,
December
5,
2014
ABSTRACT: In this paper we present a highly pathogenic Avian influenza epidemic model with saturated contact rate. According to study of the dynamics, we calculated the basic reproduction number of the model. Through the analysis of this model, we have the following conclusion: if R0 ≤ 1, there is only one disease-free equilibrium which is globally stable, the disease will die; if R0 > 1, there is only one endemic equilibrium which is globally stable, disease will be popular.