PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME

来源 :数学物理学报 | 被引量 : 0次 | 上传用户：jimmy7346

【摘要】

：

A three-species ratio-dependent predator-prey diffusion model with time delays is investigated. It is shown that the system is uniformly persistent under some a

【作者】

：

徐瑞陈兰荪

【机构】

：

Department of Mathematics,Institute of Mathematics

【出处】

：

数学物理学报

【发表日期】

：

2004年期

【关键词】

：

Time delay diffusion uniform persistence global asymptotic stability

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A three-species ratio-dependent predator-prey diffusion model with time delays is investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and sufficient conditions are obtained for the global stability of the positive equilibrium of the system.

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PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME

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