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一类具反应扩散的捕食模型平衡态模式的定性分析 被引量:2

Qualitative Analysis of a Class of Predator Pray Model with Reaction Diffusion
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摘要 研究了一类具反应扩散的捕食一食饵模型,运用分歧理论讨论了该模型平衡态半平凡解的局部分支解的存在性,进而,给出了该问题正平衡解存在性的充分条件. In this paper, we study a class of predator-prey model with reaction and diffusion.By using the bifurcation theory, we discuss the existence of semi-trivial solution for local branch solutions of the steady states and give the sufficient conditions for the existence of positive solutions of the problem.
出处 《湖北民族学院学报(自然科学版)》 CAS 2015年第3期247-251,共5页 Journal of Hubei Minzu University(Natural Science Edition)
基金 湖北省教育厅科学技术研究项目(B2015097) 湖北民族学院博士启动基金(MY2013B019) 湖北民族学院大学生创新项目(2014Z048)
关键词 捕食模型 反应 扩散 平衡态 predator-prey model reaction diffusion equilibrium
分类号 O029 [理学]
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