Analysis of a Nonautonomous Eco-Epidemiological Model with Saturated Predation Rate

• 作者: Shujing Gao Youquan Luo Yujiang Liu
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NONAUTONOMOUS Eco-Epidemiological Model PERMANENCE EXTINCTION Global ATTRACTIVITY
• 年，卷（期）: yysxyw,（2）
• 页码范围: 252-273
• 页数: 22页
• 分类号: O1

摘要

In this paper, a nonautonomous eco-epidemiological model with disease in the predator is formulated and analyzed, in which saturated predation rate is taken into consideration. Under quite weak assumptions, sufficient conditions for the permanence and extinction of the disease are obtained. Moreover, by constructing a Liapunov function, the global attractivity of the model is discussed. Finally, numerical simulations verified these results.