IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v153y2021ip1s0960077921008250.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921008250
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111471?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Camara, B.I. & Haque, M. & Mokrani, H., 2016. "Patterns formations in a diffusive ratio-dependent predator–prey model of interacting populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 374-383.
    2. Ghorai, Santu & Poria, Swarup, 2016. "Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 421-429.
    3. Xue, Lin, 2012. "Pattern formation in a predator–prey model with spatial effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5987-5996.
    4. Chakraborty, Bhaskar & Ghorai, Santu & Bairagi, Nandadulal, 2020. "Reaction-diffusion predator-prey-parasite system and spatiotemporal complexity," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Yvonne Krumbeck & Qian Yang & George W. A. Constable & Tim Rogers, 2021. "Fluctuation spectra of large random dynamical systems reveal hidden structure in ecological networks," Nature Communications, Nature, vol. 12(1), pages 1-14, December.
    6. Edward R. Abraham, 1998. "The generation of plankton patchiness by turbulent stirring," Nature, Nature, vol. 391(6667), pages 577-580, February.
    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.
    8. Jiang, Zhichao & Zhang, Tongqian, 2017. "Dynamical analysis of a reaction-diffusion phytoplankton-zooplankton system with delay," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 693-704.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Huang, Tousheng & Yu, Chengfeng & Zhang, Kui & Liu, Xingyu & Zhen, Jiulong & Wang, Lan, 2023. "Complex pattern dynamics and synchronization in a coupled spatiotemporal plankton system with zooplankton vertical migration," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. 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).
    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. 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).
    5. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Huang, Tousheng & Yu, Chengfeng & Zhang, Kui & Liu, Xingyu & Zhen, Jiulong & Wang, Lan, 2023. "Complex pattern dynamics and synchronization in a coupled spatiotemporal plankton system with zooplankton vertical migration," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Bhunia, Bidhan & Ghorai, Santu & Kar, Tapan Kumar & Biswas, Samir & Bhutia, Lakpa Thendup & Debnath, Papiya, 2023. "A study of a spatiotemporal delayed predator–prey model with prey harvesting: Constant and periodic diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Batabyal, Saikat & Jana, Debaldev & Upadhyay, Ranjit Kumar, 2021. "Diffusion driven finite time blow-up and pattern formation in a mutualistic preys-sexually reproductive predator system: A comparative study," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. Huang, Tousheng & Yang, Hongju & Zhang, Huayong & Cong, Xuebing & Pan, Ge, 2018. "Diverse self-organized patterns and complex pattern transitions in a discrete ratio-dependent predator–prey system," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 141-158.
    5. 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).
    6. Suresh, R. & Senthilkumar, D.V. & Lakshmanan, M. & Kurths, J., 2016. "Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 235-245.
    7. Batabyal, Saikat, 2021. "COVID-19: Perturbation dynamics resulting chaos to stable with seasonality transmission," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    8. Wu, Daiyong & Zhao, Min, 2019. "Qualitative analysis for a diffusive predator–prey model with hunting cooperative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 299-309.
    9. Souna, Fethi & Belabbas, Mustapha & Menacer, Youssaf, 2023. "Complex pattern formations induced by the presence of cross-diffusion in a generalized predator–prey model incorporating the Holling type functional response and generalization of habitat complexity e," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 597-618.
    10. Peng, Yahong & Ling, Heyang, 2018. "Pattern formation in a ratio-dependent predator-prey model with cross-diffusion," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 307-318.
    11. Zhou, Weigang & Huang, Chengdai & Xiao, Min & Cao, Jinde, 2019. "Hybrid tactics for bifurcation control in a fractional-order delayed predator–prey model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 183-191.
    12. Wang, Ching-Hao & Matin, Sakib & George, Ashish B. & Korolev, Kirill S., 2019. "Pinned, locked, pushed, and pulled traveling waves in structured environments," Theoretical Population Biology, Elsevier, vol. 127(C), pages 102-119.
    13. Enrico Ser-Giacomi & Ricardo Martinez-Garcia & Stephanie Dutkiewicz & Michael J. Follows, 2023. "A Lagrangian model for drifting ecosystems reveals heterogeneity-driven enhancement of marine plankton blooms," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    14. Sarangi, B.P. & Raw, S.N., 2023. "Dynamics of a spatially explicit eco-epidemic model with double Allee effect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 241-263.
    15. Das, Tanaya & Chakraborti, Saranya & Mukherjee, Joydeep & Sen, Goutam Kumar, 2018. "Mathematical modelling for phytoplankton distribution in Sundarbans Estuarine System, India," Ecological Modelling, Elsevier, vol. 368(C), pages 111-120.
    16. Fasani, Stefano & Rinaldi, Sergio, 2011. "Factors promoting or inhibiting Turing instability in spatially extended prey–predator systems," Ecological Modelling, Elsevier, vol. 222(18), pages 3449-3452.
    17. Song, Li-Peng & Zhang , Rong-Ping & Feng , Li-Ping & Shi, Qiong, 2017. "Pattern dynamics of a spatial epidemic model with time delay," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 390-399.
    18. Zhao, Qiuyue & Liu, Shutang & Tian, Dadong, 2018. "Dynamic behavior analysis of phytoplankton–zooplankton system with cell size and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 160-168.
    19. Yang, Ruizhi & Ma, Jian, 2018. "Analysis of a diffusive predator-prey system with anti-predator behaviour and maturation delay," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 128-139.
    20. Evgeniya Giricheva, 2024. "Taxis-Driven Pattern Formation in Tri-Trophic Food Chain Model with Omnivory," Mathematics, MDPI, vol. 12(2), pages 1-18, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921008250. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.