Asymptotic Behavior for A Modified Leslie-Gower Tritrophic Food Chain Model with Diffusion

被引：0
|
作者：
Li, Fen [1 ]
Fu, Shengmao [1 ]
机构：
[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
food chain; reaction-diffusion; uniform boundedness; stability; PREDATOR-PREY MODEL; GLOBAL STABILITY; SYSTEM;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Asymptotic behaviors of a three species food chain model with Holling type-II and modified Leslie-Gower functional response is studied. First, the asymptotical stability of the nonnegative equilibrium points for the model of ODE type is proved. Then, the existence and uniform boundedness of global solution and the stability of the nonnegative equilibrium points for the model with diffusion are discussed.
引用
收藏
页码：139 / 143
页数：5
相关论文
共 50 条
  • [31] Singular bifurcations in a slow-fast modified Leslie-Gower model
    Albarran-Garcia, Roberto
    Alvarez-Ramirez, Martha
    Jardon-Kojakhmetov, Hildeberto
    RESULTS IN APPLIED MATHEMATICS, 2025, 26
  • [32] A modified Leslie-Gower predator-prey model with prey infection
    Zhou X.
    Cui J.
    Shi X.
    Song X.
    Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 471 - 487
  • [33] DYNAMICS OF A MODIFIED LESLIE-GOWER MODEL WITH GESTATION EFFECT AND NONLINEAR HARVESTING
    Sivasamy, R.
    Sathiyanathan, K.
    Balachandran, K.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (02): : 747 - 764
  • [34] Canard phenomenon in a slow-fast modified Leslie-Gower model
    Ambrosio, B.
    Aziz-Alaoui, M. A.
    Yafia, R.
    MATHEMATICAL BIOSCIENCES, 2018, 295 : 48 - 54
  • [35] Relaxation oscillations in a slow-fast modified Leslie-Gower model
    Wang, Cheng
    Zhang, Xiang
    APPLIED MATHEMATICS LETTERS, 2019, 87 : 147 - 153
  • [36] Dynamic analysis of a modified Leslie-Gower model with nonlinear prey harvesting and prey herd behavior
    Mortuja, Md Golam
    Chaube, Mithilesh Kumar
    Kumar, Santosh
    PHYSICA SCRIPTA, 2023, 98 (12)
  • [37] Spatiotemporal Dynamics of a Modified Leslie-Gower Model with Weak Allee Effect
    Liu, Yuying
    Wei, Junjie
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (12):
  • [38] Qualitative Analysis of a Three-Species Reaction-Diffusion Model with Modified Leslie-Gower Scheme
    Wang, Xiaoni
    Guo, Gaihui
    Li, Jian
    Du, Mengmeng
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [39] A modified Leslie-Gower predator-prey model with alternative food and selective predation of noninfected prey
    Bortuli Junior, Altemir
    Maidana, Norberto Anibal
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (05) : 3441 - 3467
  • [40] Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model
    Kang, Aihua
    Xue, Yakui
    Fu, Jianping
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
12345