GLOBAL ATTRACTIVITY IN AN ALMOST PERIODIC PREDATOR-PREY- MUTUALIST SYSTEM

• 作者: Chengqiang Wu Fengde Chen Liya Yang Xiangdong Xie
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2016,（1）
• 页码范围: 42-53
• 页数: 12页
• 分类号: O1

摘要

In this paper, the almost periodic predator-prey-mutualist model with Holling type II functional response is discussed. A set of sufficient conditions which guarantee the uniform persistence and the global attractivity of the system are obtained. For the almost periodic case, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the existence of a unique globally attractive positive almost periodic solution of the system are obtained. An example together with its numerical simulations shows the feasibility of the main results.