| 一类反应扩散系统非常数正解的存在性 |
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| 引用本文： | 沈林,周红玲,张振坤. 一类反应扩散系统非常数正解的存在性[J]. 河南科学, 2011, 29(7): 761-764 |
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| 作者姓名： | 沈林 周红玲 张振坤 |
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| 作者单位： | 黄淮学院数学科学系,河南驻马店,463000 |
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| 基金项目： | 河南省基础与前沿技术研究项目 |
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| 摘 要： | 讨论了一类食饵具有避难所的捕食-食饵模型,其边界条件为齐次Neumann边界条件.首先分析了正常数平衡解的渐近稳定性,给出了正解的估计；其次,讨论了非常数正解的不存在性；最后,利用拓扑度理论,给出非常数正解存在的充分条件.
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| 关 键 词： | 捕食-食饵 扩散 存在性 |
Existence of Non-Constant Positive Steady State of a Reaction-Diffusion Systems |
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| Shen Lin,Zhou Hongling,Zhang Zhenkun. Existence of Non-Constant Positive Steady State of a Reaction-Diffusion Systems[J]. Henan Science, 2011, 29(7): 761-764 |
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| Authors: | Shen Lin Zhou Hongling Zhang Zhenkun |
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| Affiliation: | (Department of Mathematics,Huanghuai University,Zhumadian 463000,Henan China) |
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| Abstract: | A predator-prey model incorporating a prey refuge is discussed under homogeneous Neumann boundary conditions.First,the asymptotically stability of constant positive steady-solution and the prior estimate of positive steady-solution are given.Furthermore,the non-existence of non-constant positive solution is analyzed.In the end,the condition of existence of non-constant positive solution is given by the degree theory. |
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| Keywords: | predator-prey diffusion existence |
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