IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v165y2022ip2s0960077922010475.html

Spatial deployment and performance of diffusion coefficients of two preys and one predator ecological system

Author

Listed:
  • Srinivas, M.N.
  • Sreerag, C.
  • Madhusudanan, V.
  • Gul, Nadia
  • Khan, Zareen A.
  • Zeb, Anwar

Abstract

The dynamic behaviour of the framework with two prey populations and one predator population is investigated in this paper. The predator exhibits a Beddington-DeAngelis interaction to prey-2(with harvesting), and a Holling type II interaction to prey-1(with harvesting), in addition to this predator harvesting is also allowed. This study explores the independent prey predator interaction on non-interacted prey and predator species, as the population density of these non- interacted species is directly influenced by its predator. Dynamics of diffusion coefficients in terms of population density of non-interacted species (both prey) is analyzed interestingly. The uncertain values of diffusion coefficients are also addressed using the concepts of probability and standardized normal distribution. This study also includes the effect on population growth of commensally interacted species while migrating from low to high density population region and vies-versa, in a probabilistic way.

Suggested Citation

  • Srinivas, M.N. & Sreerag, C. & Madhusudanan, V. & Gul, Nadia & Khan, Zareen A. & Zeb, Anwar, 2022. "Spatial deployment and performance of diffusion coefficients of two preys and one predator ecological system," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010475
    DOI: 10.1016/j.chaos.2022.112868
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922010475
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112868?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Gakkhar, Sunita & Singh, Brahampal, 2007. "The dynamics of a food web consisting of two preys and a harvesting predator," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1346-1356.
    2. Shivam, & Singh, Kuldeep & Kumar, Mukesh & Dubey, Ramu & Singh, Teekam, 2022. "Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Rihan, F.A. & Rajivganthi, C, 2020. "Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Rajni, & Ghosh, Bapan, 2022. "Multistability, chaos and mean population density in a discrete-time predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    5. Alsakaji, Hebatallah J. & Kundu, Soumen & Rihan, Fathalla A., 2021. "Delay differential model of one-predator two-prey system with Monod-Haldane and holling type II functional responses," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    6. Naji, Raid Kamel & Balasim, Alla Tariq, 2007. "Dynamical behavior of a three species food chain model with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1853-1866.
    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. Bian, Junhao & Ma, Zhiqin & Wang, Chunping & Huang, Tao & Zeng, Chunhua, 2024. "Early warning for spatial ecological system: Fractal dimension and deep learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

    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. Alsakaji, Hebatallah J. & Kundu, Soumen & Rihan, Fathalla A., 2021. "Delay differential model of one-predator two-prey system with Monod-Haldane and holling type II functional responses," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    2. Hao Qi & Wencai Zhao, 2022. "Stability and Bifurcation Analysis of a Fractional‐Order Food Chain Model with Two Time Delays," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Tian, Yuan & Yan, Xinrui & Sun, Kaibiao, 2024. "Dual effects of additional food supply and threshold control on the dynamics of a Leslie–Gower model with pest herd behavior," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    4. Pal, Debjit & Ghorai, Santu & Kesh, Dipak & Mukherjee, Debasis, 2024. "Hopf bifurcation and patterns formation in a diffusive two prey-one predator system with fear in preys and help," Applied Mathematics and Computation, Elsevier, vol. 481(C).
    5. Tian, Yuan & Li, Huanmeng & Sun, Kaibiao, 2024. "Complex dynamics of a fishery model: Impact of the triple effects of fear, cooperative hunting and intermittent harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 31-48.
    6. Sun, Chengjun & Loreau, Michel, 2009. "Dynamics of a three-species food chain model with adaptive traits," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2812-2819.
    7. Lei Zhang & Zhibin Li, 2014. "Spatial Complexity of a Predator‐Prey Model with Holling‐Type Response," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Hunki Baek & Dongseok Kim, 2014. "Dynamics of a Predator‐Prey System with Mixed Functional Responses," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    9. Karimov, Artur & Babkin, Ivan & Rybin, Vyacheslav & Butusov, Denis, 2024. "Matryoshka multistability: Coexistence of an infinite number of exactly self-similar nested attractors in a fractal phase space," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    10. A. Farajzadeh & M. H. Rahmani Doust & F. Haghighifar & D. Baleanu, 2012. "[Retracted] The Stability of Gauss Model Having One‐Prey and Two‐Predators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    11. Hui Wang, 2022. "Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PDζ Controller," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    12. Dahlia Khaled Bahlool & Huda Abdul Satar & Hiba Abdullah Ibrahim, 2020. "Order and Chaos in a Prey‐Predator Model Incorporating Refuge, Disease, and Harvesting," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    13. Zhao, Min & Lv, Songjuan, 2009. "Chaos in a three-species food chain model with a Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2305-2316.
    14. Zhang, Xue & Zhang, Qing-Ling & Liu, Chao & Xiang, Zhong-Yi, 2009. "Bifurcations of a singular prey–predator economic model with time delay and stage structure," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1485-1494.
    15. Hai-Feng Huo & Hui-Min Jiang & Xin-You Meng, 2012. "A Dynamic Model for Fishery Resource with Reserve Area and Taxation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    16. Mokni, Karima & Ali, Halima Ben & Ghosh, Bapan & Ch-Chaoui, Mohamed, 2025. "Nonlinear dynamics of a Darwinian Ricker system with strong Allee effect and immigration," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 229(C), pages 789-813.
    17. Muhammad Imran Liaqat & Ali Akgül & Hanaa Abu-Zinadah, 2023. "Analytical Investigation of Some Time-Fractional Black–Scholes Models by the Aboodh Residual Power Series Method," Mathematics, MDPI, vol. 11(2), pages 1-19, January.
    18. Chen, Xingzhi & Tian, Baodan & Xu, Xin & Zhang, Hailan & Li, Dong, 2023. "A stochastic predator–prey system with modified LG-Holling type II functional response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 449-485.
    19. Cai, Liming & Li, Xuezhi & Yu, Jingyuan & Zhu, Guangtian, 2009. "Dynamics of a nonautonomous predator–prey dispersion–delay system with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2064-2075.
    20. Lei Zhang, 2014. "Spatiotemporal Patterns in a Ratio‐Dependent Food Chain Model with Reaction‐Diffusion," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:165:y:2022:i:p2:s0960077922010475. 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.