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
  • [1] Biological Control Strategy in an Age Structured Predator-prey Model
    Zhu, Guanghu
    Chen, Lansun
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 157 - 161
  • [2] Optimal harvesting in an age-structured predator-prey model
    Fister, K. Renee
    Lenhart, Suzanne
    APPLIED MATHEMATICS AND OPTIMIZATION, 2006, 54 (01) : 1 - 15
  • [3] Stability Analysis of a Predator-prey Model with Impulsive Control
    Song, Yan
    Qi, Xiao-Yu
    Gao, Ya-Jun
    Xiao, Wen
    2015 International Conference on Mechanical Engineering and Automation (ICMEA 2015), 2015, : 52 - 57
  • [4] Impulsive state feedback control of a predator-prey model
    Jiang, Guirong
    Lu, Qishao
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 200 (01) : 193 - 207
  • [5] Analysis of an age-structured predator-prey model with disease in the prey
    Delgado, Manuel
    Molina-Becerra, Monica
    Suarez, Antonio
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (04) : 853 - 871
  • [6] Age-structured predator-prey model with habitat complexity: oscillations and control
    Bairagi, N.
    Jana, D.
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2012, 27 (04): : 475 - 499
  • [7] 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
  • [8] Exact Controllability of Age-Structured Predator-Prey Populations
    Zhang ShenghaiDepartment of Applied Mathematics Xian Jiaotong University Xian PRChina
    生物数学学报, 1997, (03) : 208 - 212
  • [9] Dynamics of a size-structured predator-prey model with chemotaxis mechanism
    Tian, Xuan
    Guo, Shangjiang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 81
  • [10] Extinction and Permanence of a Predator-prey System with Impulsive Control
    Song, Yan
    Xiao, Wen
    Gao, Yajun
    Qi, Xiaoyu
    PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND APPLIED MATHEMATICS, 2015, 122 : 390 - 393
12345