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    • 李波,王明新.一类带有扩散的三种群捕食模型的非常数正平衡解[J].数学年刊A辑,2009,30(2):265~280
    一类带有扩散的三种群捕食模型的非常数正平衡解
    Non-constant Positive Steady States of the Three-Species Prey-Predator Model with Diffusion
      
    DOI：
    中文关键词:  捕食模型  椭圆系统  非常数正平衡解
    英文关键词:Prey-predator model, Elliptic system, Non-constant positive steady states
    基金项目:国家自然科学基金，江苏省自然科学基金
    Author NameAffiliationE-mail
    LI Bo Department of Mathematics, Southeast University, Nanjing 210018, China
    School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, Jiangsu China.     		libo5181923@163.com 
    WANG Mingxin Department of Mathematics, Southeast University, Nanjing 210018, China. mxwang@seu.edu.cn 
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    中文摘要:
          一类带有扩散和非单调比率依赖响应函数的捕食模型在某些条件下有两个正常数解,讨论了该捕食模型在齐次Neumann边界条件下的非常数正平衡解的存在性和不存在性.
    英文摘要:
          A diffusive prey-predator model with non-monotonic and ratio-dependent re- sponse functions has two positive constant solutions in some cases. This paper proves a number of existence and non-existence results concerning non-constant positive steady states of the underlying system with homogeneous Neumann boundary conditions.
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