The dynamics of an age structured predator-prey model with impulsive control

被引:0
|
作者
Wang, Jing [1 ]
Xue, Yakui [1 ]
机构
[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS | 2008年
关键词
age structure; impulsive control; predator-prey;
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 considers the predator-prey models with age structure for the prey, the prey population contains the immature and mature population. Nature enemies (predator) are released and pesticides are applied impulsively to maintain the pest tinder the levels that cause economic damage. We prove that. when the impulsive period is more than some threshold, the mature pest-eradication solution is globally asymptotically stable.
引用
收藏
页码:277 / 280
页数:4
相关论文
共 50 条
  • [41] Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
    Xu, Lijun
    Wu, Wenquan
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [42] Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator
    Tang, SY
    Chen, LS
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (04): : 973 - 980
  • [43] STABILITY OF A STAGE-STRUCTURED PREDATOR-PREY MODEL WITH ALLEE EFFECT AND HARVESTING
    Li, Tingting
    Huang, Xiaoyan
    Xie, Xiangdong
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2019,
  • [44] Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay
    Wang, Xia
    Song, Qiang
    Song, Xinyu
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (11) : 4231 - 4240
  • [45] A stage-structured predator-prey model of Beddington-Deangelis type
    Liu, Shengqiang
    Beretta, Edoardo
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) : 1101 - 1129
  • [46] GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL WITH A SMITH GROWTH FUNCTION AND THE ADDITIVE PREDATION IN PREY
    Bai, Dingyong
    Zheng, Jiale
    Kang, Yun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (04): : 1923 - 1960
  • [47] Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
    Guan, Xiaona
    Wang, Weiming
    Cai, Yongli
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2385 - 2395
  • [48] Stability and Bifurcation Analysis in a Stage-structured Predator-prey Model with Delay
    Wang, Hongyan
    Wang, Hongmei
    APPLIED SCIENCE, MATERIALS SCIENCE AND INFORMATION TECHNOLOGIES IN INDUSTRY, 2014, 513-517 : 3723 - 3727
  • [49] FITTING AND TESTING A PREDATOR-PREY MODEL
    DURAND, J
    DURAND, R
    JOURNAL OF MATHEMATICAL SOCIOLOGY, 1992, 17 (01) : 51 - 62
  • [50] Pattern formation of a predator-prey model
    Liu, Pan-Ping
    Jin, Zhen
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) : 177 - 183