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NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL 被引量：4

NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL
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摘要 In this paper, the authors deal with the non-constant positive steady-states of a predator-prey-mutualist model with homogeneous Neumann boundary condition. They first give a priori estimates (positive upper and lower bounds) of positive steady-states,and then study the non-existence, the global existence and bifurcation of non-constant positive steady-states as some parameters are varied. Finally the asymptotic behavior of such solutions as d3 →∞ is discussed.
作者 CHENWENYAN WANGMINGXIN
机构地区 DepartmentofMathematics DepartmentofMathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第2期243-254,共12页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.19831060) the 333 Project of Jiangsu Province of China.
关键词 Predator-prey-mutualist model Non-constant positive steady-states BIFURCATION A priori estimates 分歧 参数 渐近性 解决方法 椭圆
分类号 O123.3 [理学—基础数学]
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参考文献10

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同被引文献21

  • 1Bazykin A D. Nonlinear dynamics of interacting populations[M].Singapore:World Scientific, 1998.
  • 2Wang M X, Wu Q. Positive solutions of a prey-predator model with predator saturation and competition[J].Journal of Mathematical Analysis and Applications, 2008, 345: 708-718.
  • 3Chen W Y, Wang M X. Qualitative analysis of predator-prey model with Beddington -DeAngelis function response and diffusion[J]. Mathimatical and Computer Modeling, 2005, 42: 31-44.
  • 4Hwang T W. Global analysis of the predator-prey system with Beddington-DeAngelis functional response[J].Journal of Mathematical Analysis and Applications, 2002, 281: 395-401.
  • 5Liu Z H, Yuan R. Stability and bifurcation in a delayed predator-prey system with Beddington -DeAngelis functional response[J]. lournal of Mathematical Analysis and Applications, 2004, 296: 521-537.
  • 6Cantrell R S, Cosner C. On the dynamics of predator-prey models with Beddington-DeAngelis functional response[J].Journal of Mathematical Analysis and Applications, 2001, 257: 206-222.
  • 7Chen W Y, Peng R. Stationary patterns created by cross-diffusion for the competitor- competitor-mutualist model[J].Journal of Mathematical Analysis and Applications, 2004, 291(2): 550-564.
  • 8Hei L J, Yu Y. Non-constant positive steadystates of one resource and two consumers model with diffusion[J].Journal of Mathematical Analysis and Applications, 2008, 339: 566-581.
  • 9Lin C S, Ni W M, Takagi I. Large amplitude stationary solutions to a chemotais systems[J].Journal of Differential Equations, 1988, 72: 1-27.
  • 10Lou Y, Ni W M. Diffusion, self-diffusion and cross-diffusion[J].Journal of Differential Equations, 1996, 131: 79-131.

引证文献4

二级引证文献6

Chinese Annals of Mathematics,Series B
2004年 第2期

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