Pattern dynamics of a spatial predator-prey model with noise

被引：65
|
作者：
Li, Li [1 ,2 ]
Jin, Zhen [1 ]
机构：
[1] N Univ China, Dept Math, Taiyuan 030051, Peoples R China
[2] Taiyuan Inst Technol, Dept Math, Taiyuan 030008, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 67卷 / 03期
关键词：
Predator-prey; Noise; Phase transition; STOCHASTIC RESONANCE; STABILITY; BIODIVERSITY; BIFURCATION; COMPLEXITY; DIFFUSION; DAPHNIA; SYSTEMS; SHIFTS;
D O I：
10.1007/s11071-011-0101-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A spatial predator-prey model with colored noise is investigated in this paper. We find that the number of the spotted pattern is increased as the noise intensity is increased. When the noise intensity and temporal correlation are in appropriate levels, the model exhibits phase transition from spotted to stripe pattern. Moreover, we show the number of the spotted and stripe pattern, with respect to both noise intensity and temporal correlation. These studies raise important questions on the role of noise in the pattern formation of the populations, which may well explain some data obtained in the ecosystems.
引用
收藏
页码：1737 / 1744
页数：8
相关论文
共 50 条
  • [1] Pattern dynamics of a spatial predator–prey model with noise
    Li Li
    Zhen Jin
    Nonlinear Dynamics, 2012, 67 : 1737 - 1744
  • [2] Pattern Dynamics in a Spatial Predator-Prey Model with Nonmonotonic Response Function
    Li, Xiaoling
    Hu, Guangping
    Feng, Zhaosheng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (06):
  • [3] Dynamics in a predator-prey model with space and noise
    Li, Li
    Wang, Zhi-Jun
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (12) : 6542 - 6547
  • [4] Pattern dynamics of a harvested predator-prey model
    Chen, Mengxin
    Ham, Seokjun
    Choi, Yongho
    Kim, Hyundong
    Kim, Junseok
    CHAOS SOLITONS & FRACTALS, 2023, 176
  • [5] Impact of noise on pattern formation in a predator-prey model
    Li, An-Wei
    NONLINEAR DYNAMICS, 2011, 66 (04) : 689 - 694
  • [6] Pattern formation in a predator-prey model with spatial effect
    Xue, Lin
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (23) : 5987 - 5996
  • [7] Predator-taxis creates spatial pattern of a predator-prey model
    Chen, Mengxin
    Zheng, Qianqian
    CHAOS SOLITONS & FRACTALS, 2022, 161
  • [8] Pattern Dynamics in a Predator-Prey Model with Diffusion Network
    Yang, Wenjie
    Zheng, Qianqian
    Shen, Jianwei
    Hu, Qing
    COMPLEXITY, 2022, 2022
  • [9] Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect
    Sun, Gui-Quan
    Li, Li
    Jin, Zhen
    Zhang, Zi-Ke
    Zhou, Tao
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [10] Rich dynamics in a spatial predator-prey model with delay
    Chang, Lili
    Sun, Gui-Quan
    Wang, Zhen
    Jin, Zhen
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 540 - 550
12345