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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
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    References listed on IDEAS

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    1. 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).
    2. Rajni, & Ghosh, Bapan, 2022. "Multistability, chaos and mean population density in a discrete-time predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. 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).
    4. 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).
    5. 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.
    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.
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