STOCHASTIC SPATIOTEMPORAL DIFFUSIVE PREDATOR-PREY SYSTEMS

被引：3
|
作者：
Liu, Guanqi
Wang, Yuwen [1 ]
机构：
[1] Harbin Normal Univ, Yuan Yung Tseng Funt Anal Res Ctr, Harbin 150025, Heilongjiang, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Global solution; spatiotemporal stochastic Holling type III; extinction; stability in mean square; invariant measure; STABILITY; EXISTENCE; EQUATIONS; EVOLUTION; DYNAMICS;
D O I：
10.3934/cpaa.2018005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a spatiotemporal diffusive predator-prey system with Holling type-III is considered. By using a Lyapunov-like function, it is proved that the unique local solution of the system must be a a global one if the interaction intensity is small enough. A comparison theorem is used to show that the system can be extinction or stability in mean square under some additional conditions. Finally, an unique invariant measure for the system is obtained.
引用
收藏
页码：67 / 84
页数：18
相关论文
共 50 条
  • [1] SPATIOTEMPORAL DYNAMICS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH GENERALIST PREDATOR
    Bai, Dingyong
    Yu, Jianshe
    Kang, Yun
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (11): : 2949 - 2973
  • [2] Spatiotemporal Patterns in a Diffusive Predator-Prey Model with Prey Social Behavior
    Salih Djilali
    Soufiane Bentout
    [J]. Acta Applicandae Mathematicae, 2020, 169 : 125 - 143
  • [3] Spatiotemporal Patterns in a Diffusive Predator-Prey Model with Prey Social Behavior
    Djilali, Salih
    Bentout, Soufiane
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2020, 169 (01) : 125 - 143
  • [4] Steady states and spatiotemporal evolution of a diffusive predator-prey model
    Chen, Mengxin
    Wu, Ranchao
    [J]. CHAOS SOLITONS & FRACTALS, 2023, 170
  • [5] Bifurcation Analysis and Spatiotemporal Patterns in a Diffusive Predator-Prey Model
    Hu, Guangping
    Li, Xiaoling
    Lu, Shiping
    Wang, Yuepeng
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (06):
  • [6] Spatiotemporal dynamics of a diffusive predator-prey model with fear effect
    Liu, Jia
    Kang, Yun
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, : 841 - 862
  • [7] Spatiotemporal dynamics of a diffusive predator-prey model with fear effect*
    Liu, Jia
    Kang, Yun
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (05): : 841 - 862
  • [8] Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
    Yi, Fengqi
    Wei, Junjie
    Shi, Junping
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (05) : 1944 - 1977
  • [9] Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting
    Souna, Fethi
    Lakmeche, Abdelkader
    Djilali, Salih
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 140
  • [10] Spatiotemporal dynamics of a diffusive predator-prey model with delay and Allee effect in predator
    Liu, Fang
    Du, Yanfei
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (11) : 19372 - 19400
12345