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The impact of environmental fluctuations on a plankton model with toxin-producing phytoplankton and patchy agglomeration

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  • Zhao, Shengnan
  • Yuan, Sanling
  • Zhang, Tonghua

Abstract

In aquatic ecosystem, plankton populations are easily affected by environmental fluctuations due to the unpredictability of many physical factors such as nutrient availability, acidity, water temperature and so on. To reveal how environmental fluctuations influence plankton populations, in this paper, we develop and analyze a stochastic toxin-producing phytoplankton (TPP)-zooplankton model with patchy agglomeration. We first perform the survival analysis of the model, including the persistence and extinction as well as the existence of ergodic stationary distribution. Then, for the scenario when the model exhibits bistability between a positive equilibrium or a limit cycle and TPP-only equilibrium in the absence of noise, we further study the phenomenon of noise-induced transition from plankton coexistence to zooplankton extirpation. Also, we numerically estimate the critical values of noise intensities for the occurrence of transitions with the aids of the technique of stochastic sensitivity functions. Our research indicates that zooplankton population becomes more vulnerable and easily goes to extinction in the presence of environmental noise, and as a result, phytoplankton could benefit from the decrease of grazing pressure. This partially explains the often seen phenomenon in aquatic ecosystems that many toxin-releasing microalgal species with patchy agglomeration are more likely to cause blooms.

Suggested Citation

  • Zhao, Shengnan & Yuan, Sanling & Zhang, Tonghua, 2022. "The impact of environmental fluctuations on a plankton model with toxin-producing phytoplankton and patchy agglomeration," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006361
    DOI: 10.1016/j.chaos.2022.112426
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    References listed on IDEAS

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    1. Valenti, D. & Tranchina, L. & Brai, M. & Caruso, A. & Cosentino, C. & Spagnolo, B., 2008. "Environmental metal pollution considered as noise: Effects on the spatial distribution of benthic foraminifera in two coastal marine areas of Sicily (Southern Italy)," Ecological Modelling, Elsevier, vol. 213(3), pages 449-462.
    2. D. Valenti & L. Schimansky-Geier & X. Sailer & B. Spagnolo, 2006. "Moment equations for a spatially extended system of two competing species," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 199-203, March.
    3. Xu, Junyan & Zhang, Tonghua & Song, Keying, 2020. "A stochastic model of bacterial infection associated with neutrophils," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    4. Joydev Chattopadhyay & Ezio Venturino & Samrat Chatterjee, 2013. "Aggregation of toxin-producing phytoplankton acts as a defence mechanism – a model-based study," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 19(2), pages 159-174, April.
    5. Jang, Sophia R.-J. & Allen, Edward J., 2015. "Deterministic and stochastic nutrient-phytoplankton- zooplankton models with periodic toxin producing phytoplankton," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 52-67.
    6. Mao, Xuerong & Marion, Glenn & Renshaw, Eric, 2002. "Environmental Brownian noise suppresses explosions in population dynamics," Stochastic Processes and their Applications, Elsevier, vol. 97(1), pages 95-110, January.
    7. Yu, Xingwang & Yuan, Sanling & Zhang, Tonghua, 2019. "Survival and ergodicity of a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 249-264.
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    Cited by:

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    3. Liao, Tiancai, 2024. "The impact of temperature variation on the algae–zooplankton dynamics with size-selective disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    4. Lu, Chun & Xu, Chuanlong, 2024. "Dynamic properties for a stochastic SEIR model with Ornstein–Uhlenbeck process," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 216(C), pages 288-300.

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