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On the dynamics of an intraguild predator–prey model

Author

Listed:
  • Capone, F.
  • Carfora, M.F.
  • De Luca, R.
  • Torcicollo, I.

Abstract

An intraguild predator–prey model with a carrying capacity proportional to the biotic resource, is generalized by introducing a Holling type II functional response. The longtime behavior of solutions is analyzed and, in particular, absorbing sets in the phase space are determined. The existence of biologically meaningful equilibria (boundary and internal equilibria) has been investigated. Linear and nonlinear stability conditions for biologically meaningful equilibria are performed. Finally, numerical simulations on different regimes of coexistence and extinction of the involved populations have been shown.

Suggested Citation

  • Capone, F. & Carfora, M.F. & De Luca, R. & Torcicollo, I., 2018. "On the dynamics of an intraguild predator–prey model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 149(C), pages 17-31.
    • Handle: RePEc:eee:matcom:v:149:y:2018:i:c:p:17-31
    DOI: 10.1016/j.matcom.2018.01.004
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    References listed on IDEAS

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    1. Rionero, Salvatore & Vitiello, Maria, 2012. "Long-time behavior of the solutions of Murray–Thomas model for interacting chemicals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1597-1614.
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    Cited by:

    1. Ang, Tau Keong & Safuan, Hamizah M., 2019. "Harvesting in a toxicated intraguild predator–prey fishery model with variable carrying capacity," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 158-168.
    2. Capone, F. & Carfora, M.F. & De Luca, R. & Torcicollo, I., 2019. "Turing patterns in a reaction–diffusion system modeling hunting cooperation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 165(C), pages 172-180.
    3. Maria Francesca Carfora & Isabella Torcicollo, 2020. "Cross-Diffusion-Driven Instability in a Predator-Prey System with Fear and Group Defense," Mathematics, MDPI, vol. 8(8), pages 1-20, July.

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