Global bifurcation of co-existence states for a predator-prey-mutualist model with diffusion

被引：15
|
作者：
Hei, Lijun [1 ]
机构：
[1] Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China
[2] Nankai Univ, Liu Hui Ctr Appl Math, Tianjin 300072, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 02期
基金：
中国国家自然科学基金;
关键词：
co-existence states; global bifurcation; principal eigenvalue; indices of fixed points; stability;
D O I：
10.1016/j.nonrwa.2006.01.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a predator-prey-mutualist system is studied by means of global bifurcation theory. The conditions for the existence of co-existence states and the corresponding parameter regions are established, and some local stability results for the co-existence states are also given. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：619 / 635
页数：17
相关论文
共 50 条
  • [1] Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis
    Zhao, Qian
    Liu, Bin
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 12 (03) : 564 - 589
  • [2] A REACTION-DIFFUSION SYSTEM OF A PREDATOR-PREY-MUTUALIST MODEL
    ZHENG, S
    MATHEMATICAL BIOSCIENCES, 1986, 78 (02) : 217 - 245
  • [3] Hopf bifurcation in symmetric configuration of predator-prey-mutualist systems
    Rai, Bindhyachal
    Krawcewicz, Wieslaw
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 4279 - 4296
  • [4] Hopf bifurcation and periodic solution of a delayed predator-prey-mutualist system
    Jia, Jianwen
    Li, Liping
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [5] Hopf bifurcation and periodic solution of a delayed predator-prey-mutualist system
    Jianwen Jia
    Liping Li
    Advances in Difference Equations, 2016
  • [6] Qualitative behavior of a diffusive predator-prey-mutualist model
    Dong, Yaying
    Li, Shanbing
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
  • [7] GLOBAL ATTRACTIVITY IN AN ALMOST PERIODIC PREDATOR-PREY-MUTUALIST SYSTEM
    Liya Yang
    Fengde Chen
    Chengqiang Wu
    Xiangdong Xie
    Annals of Applied Mathematics, 2016, 32 (01) : 42 - 53
  • [8] Permanence of the periodic predator-prey-mutualist system
    Liya Yang
    Xiangdong Xie
    Fengde Chen
    Yalong Xue
    Advances in Difference Equations, 2015
  • [9] NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL
    CHEN WENYAN WANG MINGXIN Department of Mathematics
    Chinese Annals of Mathematics, 2004, (02) : 243 - 254
  • [10] Permanence of the periodic predator-prey-mutualist system
    Yang, Liya
    Xie, Xiangdong
    Chen, Fengde
    Xue, Yalong
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
12345