Pathogen coexistence induced by the general form of contact rate and vertical transmission

摘要：

In this paper, the epidemic model with general form of contact rate and vertical transmission is studied. The disease-free equilibrium of the model system are found and their stability is investigated. The stability of equilibria is derived through the use of Lyapunov stability theory and LaSalle’s invariant set theorem. It is shown that competitive exclusion principle holds and the coexistence of pathogens is possible under a certain condition. Numerical simulations are provided to illustrate the theoretical results.

关键词： contact rate reproduction number vertical transmission

作者: Haiyong Wang Yongzhen Pei Changguo Li

作者单位: School of Science，Tianjin Polytechnic University, Tianjin, 300160, China School of Science，Tianjin Polytechnic University,Tianjin, 300160, China Department of Basic Science,Military Transportation University,300161, 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: 1504-1509

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）