A predator-prey model with infection in the prey

摘要：

In this paper, a predator-prey model with disease spreads in the prey is formulated, where it is assumed that the disease can be transmitted in both the horizontal and vertical ways. The existence and the local stability of the equilibria for two cases are discussed. By constructing the lyapunov function and using the second additive compound matrix, the sufficient and necessary conditions of the global stability of the disease-free equilibria and the sufficient condition of the global stability of the endemic equilibrium are obtained.

关键词： predator-prey system epidemic model vertical transmission latent period stabilityc

作者: Shuo Liu lina Ma Qingbo Zhao Wenchao Li kejian Wu

作者单位: Faculty of Biomedical Engineering, The Fourth Military Medical University,Xian 710032,China College of Mathematics and Information Science,Shaanxi Normal University,Xian 710062, 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: 806-814

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）