A COMPETITIVE AND PREY-PREDATOR MODEL WITH STAGE-STRUCTURE

• 作者: 刘丙辰 李锋杰 罗桂烈
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 里亚普诺夫函数 唯一性 延时 均衡系统 周期解 稳定性
• 年，卷（期）: 2004,（1）
• 页码范围: 49-58
• 页数: 10页
• 分类号: O174.4

摘要

The uniform persistence is proved for a non-autonomous competitive and prey-predator model with ratio-dependent functional response and stage-structure By constructing a Liapunov functional, we establish the conditions of existence and uniqueness for the positive periodic solution, which is globally asymptotically stable. We get a unique almost periodic solution for an almost periodic system as well under corresponding conditions by means of the Razumikhin function method.