Analysis of a two-strain epidemic model with vaccination

摘要：

In this paper, it is assumed that the spread of a pathogen can mutate in the host to create a second, cocirculating, mutant strain. Vaccinated individuals becomes infected after being in contact with individuals infected with mutant strain. A two-strain epidemic model with vaccination is investigated. The existence and stability properties of equilibria in this model are investigated. Dynamical properties of the model is completely analyzed. The existence of Hopf bifurcation is also examined as the endemic equilibrium loses its stability.

关键词： SIR epidemic model Nonlinear incidence rate Lienard equation Global stability

作者: Liming Cai Shuli Guo Xuezhi Li

作者单位: Department of Mathematics,Xinyang Normal University,Xinyang, 464000, P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1227-1233

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）