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一个具有Beddington-DeAngelis功能反应项的捕食-食饵反应扩散模型的全局渐近稳定性 被引量:1

Global asymptotical stability of a reaction-diffusion predator-prey model with Beddington-DeAngelis function response
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摘要 利用迭代方法与比较原理讨论一个具有Beddington-DeAngelis功能反应项和齐次Neumann边界条件的捕食-食饵反应扩散模型的全局渐近稳定性,得到了一些充分判据。 Using iteration method and comparison principle, global asymptotical stability of a reaction-diffusion predator-prey model with Boddington-DeAngelis function response and homogeneous Nemman boundary condition is discussed. Some sufficient conditions to guarantee the global stability of the nontrivial constant stationary solutions are given.
作者 徐士河
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2009年第6期75-78,共4页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(10771223)
关键词 捕食-食饵反应扩散模型 Beddington-DeAngelis功能反应函数 全局渐近稳定 reaction-diffusion predator-prey model Beddington-DeAngelis function global asymptotical stability
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  • 4许生虎,伏升茂.带Beddington-DeAngelis功能反应项的捕食者-食饵扩散模型的稳定性[J].应用数学,2008,21(2):345-353. 被引量:9
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  • 1SHI H B, LI W T, LING. Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response [ J ]. Nonlin- ear Analysis: RWA, 2010, 11 : 3711 -3721.
  • 2WANG M X. Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model[ J]. Applied Mathematics Let- ters, 2008, 21 : 1215 - 1220.
  • 3HSU S B. Ordinary differential equations with applications[ M ]. Singapore: World Scientific, 2005.
  • 4PAO C V. Quasisolutions and global atteractor of reaction-diffusion systems[ J]. Nonlinear Analysis: TMA, 1996, 26 (12) : 1889 -1903.
  • 5伏升茂,司鹏举,张丽娜.一类比例依赖型捕食者-食饵扩散模型解的全局渐近性[J].西北师范大学学报(自然科学版),2012,48(2):1-5. 被引量:1

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