Modeling and Analysis of a Predator-prey System with Disease in the Predator

被引:0
|
作者
Li, Yihong [1 ]
Xue, Yakui [1 ]
机构
[1] North Univ China, Dept Math, Taiyuan 030051, Peoples R China
关键词
predator-prey; boundedness; global stability; permanence;
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
This paper proposes and analysis a predator-prey model with disease in the predator. The boundedness of solutions and nature of equilibriums are presented. The essential mathematical features are analyzed with the help of local stability, global stability and permanence. To substantiate our analytical results, numerical simulations are performed for hypothetical sets of parameter values.
引用
收藏
页码:740 / 743
页数:4
相关论文
共 50 条
  • [21] Predator-prey dynamics with disease in the prey
    Braza, PA
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2005, 2 (04) : 703 - 717
  • [22] A predator-prey model with disease in the prey
    Chattopadhyay, J
    Arino, O
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (06) : 747 - 766
  • [23] SYSTEM BEHAVIOR IN PREDATOR-PREY INTERACTION, WITH SPECIAL REFERENCE TO ACARINE PREDATOR-PREY SYSTEM
    TAKAFUJI, A
    TSUDA, Y
    MIKI, T
    RESEARCHES ON POPULATION ECOLOGY, 1983, : 75 - 92
  • [24] A predator-prey model with disease in prey
    Rahman, Md. Sabiar
    Chakravarty, Santabrata
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2013, 18 (02): : 191 - 209
  • [25] A predator-prey model with disease in the predator species only
    Haque, Mainul
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2224 - 2236
  • [26] Coevolution in A Predator-Prey System
    Zu, Jian
    Zu, Bo
    Huang, Gang
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 479 - 485
  • [27] Coexistence in a predator-prey system
    Droz, M
    Pekalski, A
    PHYSICAL REVIEW E, 2001, 63 (05):
  • [28] STABILITY OF PREDATOR-PREY SYSTEM
    DROZDOV, AD
    KOLMANOVSKII, VB
    TRIGIANTE, D
    AUTOMATION AND REMOTE CONTROL, 1992, 53 (11) : 1697 - 1704
  • [29] ON A KIND OF PREDATOR-PREY SYSTEM
    DING, SH
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (06) : 1426 - 1435
  • [30] ANALYSIS OF A MODEL PREDATOR-PREY SYSTEM WITH REFUGES
    HAUSRATH, AR
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 181 (02) : 531 - 545