| PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS |
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| 作者姓名： | 徐瑞 陈兰荪 |
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| 作者单位： | Xu Rui Department of Mathematics，Mechanical Engineering College，Shijiazhuang 050003，ChinaChen Lansun Institute of Mathematics，Academia Sinica，Beijing 100080，China |
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| 摘 要： | A three-species ratio-dependent predator-prey diffusion model with time de-lays is investigated. It is shown that the system is uniformly persistent under some ap-propriate conditions, and sufficient conditions are obtained for the global stability of the positive equilibrium of the system.
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| 收稿时间： | 29 December 1999 |
PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS |
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| Xu Rui.PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS[J].Acta Mathematica Scientia,2002,22(4):533-541. |
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| Authors: | Xu Rui |
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| Institution: | Xu Rui Department of Mathematics,Mechanical Engineering College,Shijiazhuang 050003,ChinaChen Lansun Institute of Mathematics,Academia Sinica,Beijing 100080,China |
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| Abstract: | 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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| Keywords: | Time delay diflusion uniform persistence global asymptotic stability |
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