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.
出处
《上海理工大学学报》
CAS
北大核心
2009年第5期409-413,共5页
Journal of University of Shanghai For Science and Technology
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
equilibrium point
the largest invariant set
eigenvalue
eco-epidemiological model
global asymptotic stability
