| NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL |
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| 作者姓名： | CHEN Wenyan WANG Mingxin |
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| 作者单位： | CHEN WENYAN WANG MINGXIN Department of Mathematics，Southeast University，Nanjing 210018，China. Department of Mathematics，Southeast University，Nanjing 210018，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.19831060)，the 333 Project of Jiangsu Province of China. |
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| 摘 要： | In this paper, the authors deal with the non-constant positive steady-states of a predator-prey-mutualist model with homogeneous Neumann boundary condition. They first give a priori estimates (positive upper and lower bounds) of positive steady-states, and then study the non-existence, the global existence and bifurcation of non-constant positive steady-states as some parameters are varied. Finally the asymptotic behavior of such solutions as d3→∞ is discussed.
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| 关 键 词： | 分歧 参数 渐近性 解决方法 椭圆 |
| 收稿时间： | 2016/10/2 0:00:00 |
| 修稿时间： | 2026/12/2 0:00:00 |
NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL |
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| CHEN Wenyan,WANG Mingxin.NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL[J].Chinese Annals of Mathematics,Series B,2004,25(2):243-254. |
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| Authors: | CHEN Wenyan and WANG Mingxin |
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| Institution: | Department of Mathematics, Southeast University, Nanjing 210018, China |
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| Abstract: | In this paper, the authors deal with the non-constant positive steady-states of a predator-prey-mutualist model with homogeneous Neumann boundary condition. They first give a priori estimates (positive upper and lower bounds) of positive steady-states,and then study the non-existence, the global existence and bifurcation of non-constant positive steady-states as some parameters are varied. Finally the asymptotic behavior of such solutions as d3 →∞ is discussed. |
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| Keywords: | Predator-prey-mutualist model Non-constant positive steady-states Bifurcation A priori estimates |
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