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沈林, 周红玲, 赵中. 一类带有扩散的捕食模型的非常数正解[J]. 信阳师范学院学报(自然科学版), 2015, 28(1): 8-12. DOI: 10.3969/j.issn.1003-0972.2015.01.003
引用本文: 沈林, 周红玲, 赵中. 一类带有扩散的捕食模型的非常数正解[J]. 信阳师范学院学报(自然科学版), 2015, 28(1): 8-12. DOI: 10.3969/j.issn.1003-0972.2015.01.003
shu
Shen Lin , Zhou HongLing , Zhao Zhong . Non-Constant Positive Solutions of a Predator-Prey Model with Diffusion[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(1): 8-12. DOI: 10.3969/j.issn.1003-0972.2015.01.003
Citation: Shen Lin , Zhou HongLing , Zhao Zhong . Non-Constant Positive Solutions of a Predator-Prey Model with Diffusion[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(1): 8-12. DOI: 10.3969/j.issn.1003-0972.2015.01.003
shu

一类带有扩散的捕食模型的非常数正解

Non-Constant Positive Solutions of a Predator-Prey Model with Diffusion

    摘要
  • 摘要: 讨论了一类三种群带有齐次Neumann边界条件的捕食反应扩散系统,其中两个捕食者捕食同一食饵.首先给出了正常数解的稳定性,并利用极大值原理得到了正解的估计.其次,利用度理论讨论了非常数正解的存在性.

     

    Abstract: A three species predator-prey reaction-diffusion system under homogeneous Neumann conditions was considered, in which it was supposed that two predators consume the common prey. Firstly, the global asymptotic stability of positive constant was given and an estimation of positive steady state was investiagted by the Maximum Principle. Secondly, the existence of non-constant positive steady state was discussed by the degree theory

     

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