A predator prey model with Fuzzy initial populations

The aim of this paper is to study a predator-prey pop- ulation model which takes into account the uncertainty that arises when determining the initial populations of predator and prey . This model is solved numerically by means of a 4 th -order Runge-Kutta method. Simulations are made and a graphical representation is also provided to show the evolution of both populations over time. In ad- dition to that, a new phase-plane in this fuzzy setting, referred to as fuzzy phase-plane, is introduced. The stability of the equilibrium points is also described. Finally, this paper points out a new research direction on fuzzy dynamical systems, especially in non-linear cases. Keywords— Equilibrium points, Fuzzy predator-prey population model, Fuzzy phase-plane, Fuzzy stability, Uncertainty.

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