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Preferential selection of zooplankton and emergence of spatiotemporal patterns in plankton population

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  • Ghorai, Santu
  • Chakraborty, Bhaskar
  • Bairagi, Nandadulal

Abstract

This paper deals with the spatiotemporal pattern forming phenomena of plankton populations under preferential selection. For this, a diffusive predator-prey interaction of zooplankton and two phytoplankton populations, where zooplankton feeds on both the phytoplanktons with some preference, is considered and analyzed. Our study reveals that such selective predation may cause various Turing and non-Turing patterns. Non-Turing patterns arise near the neutral preference, however, Turing patterns are more prominent when zooplankton is strongly inclined to either prey. Though all patterns formed in the Turing region are stationary in time, the convergence time of the solutions may be significantly different due to the nature of the roots of the characteristic equation.

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  • Ghorai, Santu & Chakraborty, Bhaskar & Bairagi, Nandadulal, 2021. "Preferential selection of zooplankton and emergence of spatiotemporal patterns in plankton population," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921008250
    DOI: 10.1016/j.chaos.2021.111471
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    References listed on IDEAS

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    5. Chakraborty, Bhaskar & Ghorai, Santu & Bairagi, Nandadulal, 2020. "Reaction-diffusion predator-prey-parasite system and spatiotemporal complexity," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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    7. Wang, Weiming & Zhang, Lei & Wang, Hailing & Li, Zhenqing, 2010. "Pattern formation of a predator–prey system with Ivlev-type functional response," Ecological Modelling, Elsevier, vol. 221(2), pages 131-140.
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    Cited by:

    1. Marick, Sounov & Bhattacharya, Santanu & Bairagi, Nandadulal, 2023. "Dynamic properties of a reaction–diffusion predator–prey model with nonlinear harvesting: A linear and weakly nonlinear analysis," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Zheng, Yanlin & Gong, Xiang & Gao, Huiwang, 2022. "Selective grazing of zooplankton on phytoplankton defines rapid algal succession and blooms in oceans," Ecological Modelling, Elsevier, vol. 468(C).
    3. Ghorai, Santu & Bairagi, Nandadulal, 2022. "Instabilities in hyperbolic reaction–diffusion system with cross diffusion and species-dependent inertia," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    4. Kumari, Sarita & Tiwari, Satish Kumar & Upadhyay, Ranjit Kumar, 2022. "Cross diffusion induced spatiotemporal pattern in diffusive nutrient–plankton model with nutrient recycling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 246-272.

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