Dynamical Behaviors of A Predator-prey Model with Impulsive Stocking Juvenile Predator and Continuous Harvesting Adult Predator

被引:0
|
作者
Liu, Kaiyuan [1 ]
Jiao, Jianjun [1 ]
机构
[1] Anshan Normal Univ, Dept Math, Anshan 114007, Peoples R China
关键词
predator-prey model; impulsive stocking; extinction; permanence; TIME-DELAY; PERTURBATIONS;
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
A predator-prey model with impulsive stocking juvenile predator and continuous harvesting adult predator is investigated. By the stroboscopic map of the discrete dynamical system, the prey-extinction boundary periodic solution of the investigated system is proved to be globally asymptotically stable. Employing the theory of impulsive differential equation, the investigated system is also proved to be permanent. Finally, the numerical analysis is inserted to illustrate the results. Our conclusions provide reliable tactical basis for the practical biological management.
引用
收藏
页码:176 / 179
页数:4
相关论文
共 50 条
  • [31] Effect of mobility and predator switching on the dynamical behavior of a predator-prey model
    Wang, Jin-Shan
    Wu, Yong-Ping
    Li, Li
    Sun, Gui-Quan
    CHAOS SOLITONS & FRACTALS, 2020, 132
  • [32] Dynamical Behaviors for a Predator-Prey System with State-Dependent Impulsive Effects
    Dong, Lingzhen
    Chen, Lansun
    MECHANICAL AND ELECTRONICS ENGINEERING III, PTS 1-5, 2012, 130-134 : 385 - +
  • [33] Dynamic Behaviors of a Holling-type Predator-Prey System with Impulsive Immigration on the Predator
    Sun, Shulin
    Chen, Lansun
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 257 - 262
  • [34] Backward bifurcation of predator-prey model with anti-predator behaviors
    Tang, Guangyao
    Qin, Wenjie
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [35] Predator-Prey Model with Prey Group Defense and Non-linear Predator Harvesting
    Kaushik, Rajat
    Banerjee, Sandip
    MATHEMATICAL MODELLING AND SCIENTIFIC COMPUTING WITH APPLICATIONS, ICMMSC 2018, 2020, 308 : 109 - 125
  • [36] Bifurcation analysis of a diffusive predator-prey model with prey social behavior and predator harvesting
    Mezouaghi, Abdelheq
    Djilali, Salih
    Bentout, Soufiane
    Biroud, Kheireddine
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (02) : 718 - 731
  • [37] The Periodic Predator-Prey Model with Impulsive Effect
    Wu, Wen
    Tang, Sanyi
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 342 - 345
  • [38] THE ECONOMICS OF PREDATOR-PREY HARVESTING
    FLAATEN, O
    RIGHTS BASED FISHING, 1989, 169 : 485 - 503
  • [39] DYNAMICAL BEHAVIOR OF A DISEASED PREDATOR-PREY MODEL WITH FEAR EFFECT AND PREY HARVESTING
    Pradeep, M. Siva
    Gopal, T. Nandha
    Sivabalan, M.
    Deepak, N. P.
    Magudeeswaran, M.
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (04): : 875 - 893
  • [40] A predator-prey model with diseases in both prey and predator
    Gao, Xubin
    Pan, Qiuhui
    He, Mingfeng
    Kang, Yibin
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (23) : 5898 - 5906