Article citationsMore>>

van den Driessche, P. and Watmough, J. (2007) Reproduction Numbers and Sub-Threshold Endemic Equilibria for Compartmental Models of Disease Transmission. Mathematical Biosciences, 196, 1679-1684.

has been cited by the following article:

• 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.