Impact of noise on pattern formation in a predator-prey model

被引:18
|
作者
Li, An-Wei [1 ,2 ]
机构
[1] N Univ China, Taiyuan 030051, Shanxi, Peoples R China
[2] Taiyuan Inst Technol, Taiyuan 030008, Shanxi, Peoples R China
关键词
Predator-prey; Color noise; Wave; Stationary pattern; PERIODIC TRAVELING-WAVES; INVASION; OSCILLATIONS; DYNAMICS; SYSTEMS; CHAOS; WAKE;
D O I
10.1007/s11071-010-9941-x
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, we investigated the influence of color noise on pattern formation in a predator-prey model. When the model has no noise, it exhibits wave dynamics. A series of numerical simulations showed that break-up of waves will emerge when noise is added. Furthermore, stationary pattern can be induced by noise. The obtained results may point out that noise can have great effect on spatial complexity of ecosystems.
引用
收藏
页码:689 / 694
页数:6
相关论文
共 50 条
  • [21] Pattern formation in a ratio-dependent predator-prey model with cross diffusion
    Li, Qing
    He, Junfeng
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (02): : 1106 - 1118
  • [22] DISPERSAL AND PATTERN-FORMATION IN A DISCRETE-TIME PREDATOR-PREY MODEL
    NEUBERT, MG
    KOT, M
    LEWIS, MA
    THEORETICAL POPULATION BIOLOGY, 1995, 48 (01) : 7 - 43
  • [23] Taxis-driven pattern formation in a predator-prey model with group defense
    Koehnke, Merlin C.
    Siekmann, Ivo
    Malchow, Horst
    ECOLOGICAL COMPLEXITY, 2020, 43
  • [24] Pattern formation in a variable diffusion predator-prey model with additive Allee effect
    Zhang, Conghui
    Yuan, Hailong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (07) : 4023 - 4035
  • [25] Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay
    Xie, Boli
    Wang, Zhijun
    Xue, Yakui
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [26] PATTERN FORMATION OF A DIFFUSIVE ECO-EPIDEMIOLOGICAL MODEL WITH PREDATOR-PREY INTERACTION
    Ko, Wonlyul
    Ahn, Inkyung
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (02) : 375 - 389
  • [27] Bifurcations and pattern formation in a predator-prey model with memory-based diffusion
    Liu, Meng
    Wang, Hongbin
    Jiang, Weihua
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 350 : 1 - 40
  • [28] Dynamic and pattern formation of a diffusive predator-prey model with indirect prey-taxis and indirect predator-taxis
    Wu, Sainan
    Wang, Yiran
    Geng, Dongxu
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 84
  • [29] The role of noise in a predator-prey model with Allee effect
    Sun, Gui-Quan
    Jin, Zhen
    Li, Li
    Liu, Quan-Xing
    JOURNAL OF BIOLOGICAL PHYSICS, 2009, 35 (02) : 185 - 196
  • [30] PATTERN FORMATION IN DIFFUSIVE PREDATOR-PREY SYSTEMS WITH PREDATOR-TAXIS AND PREY-TAXIS
    Wang, Jinfeng
    Wu, Sainan
    Shi, Junping
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (03): : 1273 - 1289