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

Saed Mallak, Doa’a Farekh and Basem Attili
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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

Mathematics, 2021, vol. 9, issue 16, 1-22

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.

Keywords: initial value problems; fuzzy IVP; predator–prey; functional response (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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