Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects

• 作者: Lifeng Wu Yiping Deng Zuoliang Xiong
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: PERIODIC Solution COINCIDENCE Degree Theory Stage-Structured IMPULSIVE
• 年，卷（期）: 2011,（3）
• 页码范围: 355-362
• 页数: 8页
• 分类号: O1

摘要

In this paper, we studied a non-autonomous predator-prey system where the prey dispersal in a two-patch environment. With the help of a continuation theorem based on coincidence degree theory, we establish sufficient conditions for the existence of positive periodic solutions. Finally, we give numerical analysis to show the effectiveness of our theoretical results.