| Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate |
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| 引用本文： | Rui PENG Ming Xin WANG Wen Van CHEN. Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate[J]. 数学学报(英文版), 2007, 23(4): 749-760. DOI: 10.1007/s10114-005-0789-9 |
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| 作者姓名： | Rui PENG Ming Xin WANG Wen Van CHEN |
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| 作者单位： | [1]Institute of Nonlinear Complex System, College of Science, China Three Gorges University, Yichang 443002, P. R. China [2]Department of Mathematics, Southeast University, Nanjing 210018, P. R. China [3]Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China 10471022, and the Ministry of Education of China Science and Technology Major Projects Grant 104090. The work of R. Peng is also supported by the Foundation of Excellent Doctoral Dissertation of Southeast University YBJJ0405 |
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| 摘 要： |
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| 关 键 词： | 捕食者-食饵模型 稳态 存在 唯一性 扩散 非单调收敛 |
| 收稿时间： | 2004-07-02 |
| 修稿时间： | 2004-07-022005-03-14 |
Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate |
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| Rui Peng,Ming Xin Wang,Wen Yan CHEN. Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate[J]. Acta Mathematica Sinica(English Series), 2007, 23(4): 749-760. DOI: 10.1007/s10114-005-0789-9 |
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| Authors: | Rui Peng Ming Xin Wang Wen Yan CHEN |
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| Affiliation: | (1) Institute of Nonlinear Complex System, College of Science, China Three Gorges University, Yichang 443002, P. R. China;(2) Department of Mathematics, Southeast University, Nanjing 210018, P. R. China;(3) Department of Mathematics, Southeast University, Nanjing 210018, P. R. China;(4) Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China;(5) Department of Mathematics, Southeast University, Nanjing 210018, P. R. China |
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| Abstract: | In this paper, we study the positive steady states of a prey-predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain some results of the existence and non-existence of positive steady states. The stability and uniqueness of positive steady states are also discussed. |
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| Keywords: | prey-predator model Steady states Existence Uniqueness Stability |
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