Numerical Solution for Fuzzy Fractional Predator-Prey Model Using Shehu Adomian Decomposition Method

Abstract

Most of the ecological models need to have an approximate solution for finding an analytic solution. This paper aims to find the approximate solution of the Fuzzy Fractional Predator-Prey Model (FFPPM) with the triangular fuzzy number. In this paper, the study is about the Shehu Adomian Decomposition Method (SHADM) to give a numerical technique for solving FFPPM. This method is easy to implement and applicable for solving linear and nonlinear Fuzzy Fractional Differential Equations (FFDEs). The main advantage of this method is the higher efficiency for non-linear systems. The numerical example verifies the effectiveness of this proposed method.  The obtained result using SHADM is balanced with the Homotopy Perturbation Method (HPM) which shows the efficiency of the proposed method.