Effect of demographic noise in a phytoplankton-zooplankton model of bloom dynamics

被引:3
|
作者
Olla, Piero [1 ,2 ]
机构
[1] ISAC CNR, I-09042 Monserrato, Italy
[2] INFN, Sez Cagliari, I-09042 Monserrato, Italy
来源
PHYSICAL REVIEW E | 2013年 / 87卷 / 01期
关键词
BIRTH-DEATH PROCESSES; POPULATIONS; MECHANISMS; TURBULENCE;
D O I
10.1103/PhysRevE.87.012712
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
An extension of the Truscott-Brindley model [Bull. Math. Biol. 56, 981 (1994)] is derived to account for the effect of demographic fluctuations. In the presence of seasonal forcing and sufficiently shallow water conditions, the fluctuations induced by the discreteness of the zooplankton component appear sufficient to cause switching between the bloom and no-bloom cycles predicted at the mean-field level by the model. The destabilization persists in the thermodynamic limit of a water basin infinitely extended in the horizontal direction. DOI: 10.1103/PhysRevE.87.012712
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Bloom dynamics in a seasonally forced phytoplankton-zooplankton model: Trigger mechanisms and timing effects
    Freund, Jan A.
    Mieruch, Sebastian
    Scholze, Bettina
    Wiltshire, Karen
    Feudel, Ulrike
    [J]. ECOLOGICAL COMPLEXITY, 2006, 3 (02) : 129 - 139
  • [2] Dynamics of a stochastic phytoplankton-toxin phytoplankton-zooplankton model
    Chen, Zhewen
    Zhang, Shuwen
    Wei, Chunjin
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [3] IMPACT OF NOISE IN A PHYTOPLANKTON-ZOOPLANKTON SYSTEM
    Liao, Tiancai
    Yu, Hengguo
    Dai, Chuanjun
    Zhao, Min
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (05): : 1878 - 1896
  • [4] Effects of toxin delay on the dynamics of a phytoplankton-zooplankton model
    Zhang, Jia-Fang
    Wang, Shaoli
    Kong, Xiangjun
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 505 : 1150 - 1162
  • [5] Harvesting of a phytoplankton-zooplankton model
    Lv Yunfei
    Pei Yongzhen
    Gao Shujing
    Li Changguo
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 3608 - 3619
  • [6] Global dynamics of a diffusive phytoplankton-zooplankton model with toxic substances effect and delay
    Yang, Hong
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (07) : 6712 - 6730
  • [7] A phytoplankton-toxic phytoplankton-zooplankton model
    Banerjee, Malay
    Venturino, Ezio
    [J]. ECOLOGICAL COMPLEXITY, 2011, 8 (03) : 239 - 248
  • [8] Phytoplankton-zooplankton dynamics in the 'presence' or 'absence' of toxic phytoplankton
    Chaudhuri, Sanjay
    Roy, Shovonlal
    Chattopadhyay, J.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 102 - 116
  • [9] A stochastic analysis for a phytoplankton-zooplankton model
    Ge, Gen
    Wang, Hong-Li
    Xu, Jia
    [J]. ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
  • [10] Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton
    Jang, Sophia
    Baglama, James
    Wu, Li
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 : 717 - 740