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
  • [1] Time Delay Effect on the Love Dynamical Model
    Son, Woo-Sik
    Park, Young-Jai
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2011, 59 (03) : 2197 - 2204
  • [2] Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay
    Wang, Lingshu
    Feng, Guanghui
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] A Dynamical Model with Time Delay for Risk Contagion
    Aliano, Mauro
    Canana, Lucianna
    Cestari, Greta
    Ragni, Stefania
    MATHEMATICS, 2023, 11 (02)
  • [4] Time effect on the dynamical behavior of a life energy system dynamic model
    Xu, Changjin
    Li, Peiluan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 656 - 670
  • [5] DYNAMICAL BEHAVIOR OF A HARVESTED PREY-PREDATOR MODEL WITH STAGE STRUCTURE AND DISCRETE TIME DELAY
    Liu, Chao
    Zhang, Qingling
    Huang, James
    Tang, Wansheng
    JOURNAL OF BIOLOGICAL SYSTEMS, 2009, 17 (04) : 759 - 777
  • [6] Dynamical study of nutrient-phytoplankton model with toxicity: Effect of diffusion and time delay
    Singh, Ravikant
    Kumar Tiwari, Satish
    Ojha, Archana
    Kumar Thakur, Nilesh
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 490 - 509
  • [7] On the Dynamical Behavior of Toxic-Phytoplankton-Zooplankton Model with Delay
    Rehim, Mehbuba
    Wu, Weixin
    Muhammadhaji, Ahmadjan
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [8] Dynamical behavior of a pacemaker neuron model with fixed delay stimulation
    Gómez, Leonel
    Budelli, Ruben
    Pakdaman, Khashayar
    2001, American Institute of Physics Inc. (64):
  • [9] POPULATION DYNAMICAL BEHAVIOR OF A TWO-PREDATOR ONE-PREY STOCHASTIC MODEL WITH TIME DELAY
    Liu, Meng
    Bai, Chuanzhi
    Jin, Yi
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (05) : 2513 - 2538
  • [10] Dynamical complexities with effect of additional food and harvesting in the time delay plankton-fish model
    Raw S.N.
    Sahu S.R.
    SeMA Journal, 2024, 81 (4) : 609 - 640
12345