PERIODIC SOLUTIONS FOR A DELAYED ONE-PREDATOR AND TWO-PREY SYSTEM WITH HOLLING TYPE-Ⅱ FUNCTIONAL RESPONSE

• 作者: LiuQiming XuRui
• 来源期刊: 微分方程年刊：英文版
• 学科: 生物学
• 关键词: 时滞 周期解 全局吸引 种群动态 函数响应
• 年，卷（期）: 2005,（1）
• 页码范围: 14-28
• 页数: 15页
• 分类号: Q141

摘要

A delayed one-predator and two-prey system with Holling type-Ⅱ functional response is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence and global attractivity of positive periodic solutions to the system.