The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model

被引：1
|
作者：
Xu, Changjin [1 ]
Wu, Yusen [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China
[2] Henan Univ Sci & Technol, Dept Math & Stat, Luoyang 471003, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
中国国家自然科学基金;
关键词：
PREDATOR-PREY SYSTEM; PERIODIC-SOLUTIONS; HOPF-BIFURCATION; STAGE-STRUCTURE; 2-PATCH ENVIRONMENTS; STABILITY; DISPERSAL; CRITERIA;
D O I：
10.1155/2012/286961
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A delayed predator-prey model with disease in the prey is investigated. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived. The effect of the two different time delays on the dynamical behavior has been given. Numerical simulations are performed to illustrate the theoretical analysis. Finally, the main conclusions are drawn.
引用
收藏
页数：18
相关论文
共 50 条
  • [21] Effect of time-delay on a food chain model
    Maiti, A.
    Pal, A. K.
    Samanta, G. P.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 189 - 203
  • [22] Dynamical behavior of a delay virus dynamics model with CTL immune response
    Shi, Xiangyun
    Zhou, Xueyong
    Song, Xinyu
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 1795 - 1809
  • [23] Effect of Discretization on Dynamical Behavior in an Epidemiological Model
    Hattaf K.
    Lashari A.A.
    El Boukari B.
    Yousfi N.
    Differential Equations and Dynamical Systems, 2015, 23 (4) : 403 - 413
  • [24] Dynamical behavior for an eco-epidemiological model with discrete and distributed delay
    Shi X.
    Zhou X.
    Song X.
    Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 305 - 325
  • [25] Complex Behavior Analysis of a Fractional-Order Land Dynamical Model with Holling-II Type Land Reclamation Rate on Time Delay
    Wu, Li
    Li, Zhouhong
    Zhang, Yuan
    Xie, Binggeng
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [26] Time-delay effect on a diffusive predator-prey model with habitat complexity
    Li, Yanfeng
    Liu, Haicheng
    Yang, Ruizhi
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [27] Oscillatory Dynamics in a Continuous-Time Delay Asset Price Model with Dynamical Fundamental Price
    Xu, Xunxia
    Liu, Jia
    Guo, Liuxiao
    Xu, Zhenyuan
    COMPUTATIONAL ECONOMICS, 2015, 45 (03) : 517 - 529
  • [28] Oscillatory Dynamics in a Continuous-Time Delay Asset Price Model with Dynamical Fundamental Price
    Xunxia Xu
    Jia Liu
    Liuxiao Guo
    Zhenyuan Xu
    Computational Economics, 2015, 45 : 517 - 529
  • [29] A note on the stability of linear dynamical systems with time delay
    Zhang, Xiao-Yan
    Sun, Jian-Qiao
    JOURNAL OF VIBRATION AND CONTROL, 2014, 20 (10) : 1520 - 1527
  • [30] Effect of time delay on a harvested predator-prey model
    Gazi N.H.
    Bandyopadhyay M.
    Journal of Applied Mathematics and Computing, 2008, 26 (1-2) : 263 - 280
12345