摘要
研究了一类疾病只在捕食者中存在,且具有饱和接触率的捕食系统的SI(susceptible-infec-ted)传染病模型.讨论了解的有界性.应用特征根法得到了平衡点局部渐近稳定的充分条件,通过构造Liapunov函数和Dulac函数得到了平衡点全局渐近稳定的充分条件.
A SI（susceptible-infected） predator-prey epidemic model with saturated infect rate in epidemic predator was formulated.The boundness of solution and the sufficient conditions of locally asymptotic stabilities of the equilibrium points were studied by the theory of eigenvalues,the sufficient conditions of global asymptotic stabilities of the equilibrium points were obtained by means of suitable Liapunov function and Dulac function.
出处
《上海理工大学学报》
CAS
北大核心
2009年第5期478-482,共5页
Journal of University of Shanghai For Science and Technology
关键词
饱和接触率
平衡点
全局渐近稳定
saturated infect rate
equilibrium
global asymptotic stability
