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A predator–prey model with generic birth and death rates for the predator and Beddington–DeAngelis functional response

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  • Ivanov, Tihomir
  • Dimitrova, Neli

Abstract

We study a predator–prey model with a Beddington–DeAngelis response function and generic birth and death rates for the predator. The mathematical analysis of the model includes existence and uniqueness of positive solutions, their uniform boundedness, existence and global stability of equilibrium points. Numerical simulation confirms the theoretical results.

Suggested Citation

  • Ivanov, Tihomir & Dimitrova, Neli, 2017. "A predator–prey model with generic birth and death rates for the predator and Beddington–DeAngelis functional response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 133(C), pages 111-123.
    • Handle: RePEc:eee:matcom:v:133:y:2017:i:c:p:111-123
    DOI: 10.1016/j.matcom.2015.08.003
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    References listed on IDEAS

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    1. Naji, R.K. & Balasim, A.T., 2007. "On the dynamical behavior of three species food web model," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1636-1648.
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    Cited by:

    1. Moustafa, Mahmoud & Mohd, Mohd Hafiz & Ismail, Ahmad Izani & Abdullah, Farah Aini, 2018. "Dynamical analysis of a fractional-order Rosenzweig–MacArthur model incorporating a prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 1-13.

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