TWO PATCHES IMPULSIVE DIFFUSION PERIODIC SINGLE-SPECIES LOGISTIC MODEL

被引：16
|
作者：
Liu, Zijian [1 ]
Teng, Zhidong [1 ]
Zhang, Long [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2010年 / 3卷 / 01期
关键词：
Patch; impulsive diffusion; iterative method; periodic solution; global attractivity; extinction; GLOBAL STABILITY; PREY DISPERSAL; TIME-DELAY; DYNAMICS; ENVIRONMENT;
D O I：
10.1142/S1793524510000842
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study a periodic single-species logistic system with impulsive diffusion in two patches. By using the iterative method, sufficient and necessary conditions on the existence, uniqueness and global attractivity of positive periodic solution and the extinction of species for this system are established. Two examples and numerical simulations are presented to illustrate the feasibility of our results.
引用
收藏
页码：127 / 141
页数：15
相关论文
共 50 条
  • [1] An Impulsive Periodic Single-Species Logistic System with Diffusion
    Yang, Chenxue
    Ye, Mao
    Liu, Zijian
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [2] A periodic single species model with intermittent unilateral diffusion in two patches
    Hong-Li Li
    Long Zhang
    Zhidong Teng
    Yao-Lin Jiang
    Journal of Applied Mathematics and Computing, 2017, 53 : 223 - 244
  • [3] A periodic single species model with intermittent unilateral diffusion in two patches
    Li, Hong-Li
    Zhang, Long
    Teng, Zhidong
    Jiang, Yao-Lin
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 223 - 244
  • [4] Permanence of a general periodic single-species system with periodic impulsive perturbations
    Xianning Liu
    Yasuhiro Takeuchi
    Japan Journal of Industrial and Applied Mathematics, 2007, 24 : 57 - 65
  • [5] Permanence of a general periodic single-species system with periodic impulsive perturbations
    Liu, Xianning
    Takeuchi, Yasuhiro
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2007, 24 (01) : 57 - 65
  • [6] Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy
    Wang, JinRong
    Xiang, X.
    Wei, W.
    BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
  • [7] Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy
    JinRong Wang
    X Xiang
    W Wei
    Boundary Value Problems, 2008
  • [8] Two-patches prey impulsive diffusion periodic predator-prey model
    Liu, Zijian
    Zhong, Shouming
    Yin, Chun
    Chen, Wufan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (06) : 2641 - 2655
  • [9] Extended logistic model for growth of single-species populations
    Sakanoue, Seiichi
    ECOLOGICAL MODELLING, 2007, 205 (1-2) : 159 - 168
  • [10] Single-species model under seasonal succession alternating between Gompertz and Logistic growth and impulsive perturbations
    Li Y.
    Zhang L.
    Teng Z.
    GEM - International Journal on Geomathematics, 2017, 8 (2) : 241 - 260
12345