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Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan ( ax )

Author

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  • Saed Mallak

    (Department of Applied Mathematics, Palestine Technical University-Kadoorie, Tulkarem 00970, Palestine)

  • Doa’a Farekh

    (Department of Applied Mathematics, Palestine Technical University-Kadoorie, Tulkarem 00970, Palestine)

  • Basem Attili

    (Department of Mathematics, University of Sharjah, Sharjah 27272, United Arab Emirates)

Abstract

In this paper we study a fuzzy predator-prey model with functional response a r c t a n ( a x ) . The fuzzy derivatives are approximated using the generalized Hukuhara derivative. To execute the numerical simulation, we use the fuzzy Runge-Kutta method. The results obtained over time for the evolution and the population are presented numerically and graphically with some conclusions.

Suggested Citation

  • Saed Mallak & Doa’a Farekh & Basem Attili, 2021. "Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan ( ax )," Mathematics, MDPI, vol. 9(16), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1919-:d:613233
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    References listed on IDEAS

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    1. Barnab?s Bede & Luciano Stefanini, 2012. "Generalized Differentiability of Fuzzy-valued Functions," Working Papers 1209, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2012.
    2. Luciano Stefanini & Barnab?s Bede, 2012. "Generalized Fuzzy Differentiability with LU-parametric Representation," Working Papers 1210, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2012.
    3. Luciano Stefanini, 2008. "A generalization of Hukuhara difference for interval and fuzzy arithmetic," Working Papers 0801, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
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    Cited by:

    1. Tian, Yuan & Li, Chunxue & Liu, Jing, 2023. "Complex dynamics and optimal harvesting strategy of competitive harvesting models with interval-valued imprecise parameters," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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