捕食者具有传染病的捕食系统模型分析  

Epidemics in predator-prey model with bilinear incidence and disease in predator

作　　者：张拥军[1] 王美娟[1] 徐金瑞[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2009年第5期409-413,共5页Journal of University of Shanghai For Science and Technology

摘　　要：建立了一类捕食者具有传染病且有饱和接触率的生态-流行病模型.讨论模型平衡点的存在性,利用最大不变集原理和特征根法对平衡点进行稳定性分析,通过构造Liapunov函数得到平衡点的局部稳定性和全局渐近稳定性的充分条件.A predator-prey model with disease in predator was established and analysed,in which both prey and predator are density-dependent.The existence of the equilibrium points and the boundedness of solution were studied.By using comparison theory of ordinary differential equation as well as,eigenvalues and Liapunov functions,the partial and global asymptotic stability of some equilibrium points was analysed.

关 键 词：平衡点 最大不变集 特征根 生态-流行病模型 全局渐近稳定性 

分 类 号：O175.13[理学—数学]