PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY

• 作者: 史金麟 陈凤德 陈晓星
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 延时 稳定性 模型 参数 周期 微分方程
• 年，卷（期）: 2004,（2）
• 页码范围: 111-117
• 页数: 7页
• 分类号: O175

摘要

In this paper, a non-autonomous predator-prey model with diffusion and continuous time delay is studied, where the prey can diffuse between two patches of a heterogeneous environment with barriers between patches, but for the predator, the diffusion does not involve a barrier between patches, further it is assumed that all the parameters are time-dependent. It is shown that the system can be made persistent under some appropriate conditions. Moreover,sufficient conditions that guarantee the existence of a unique periodic solution which is globallv asvmptotic stable are derived.