Population Dynamic Model of Two Species Solved by Fuzzy Adomian Decomposition Method

Adomian decomposition method (ADM) is powerful method to solve nonlinear functional equations. This method also solves nonlinear differential equations and provides the solution in series form, which effectively and accurately converges very fast to the exact solution, if it exists. In this work, we propose Fuzzy Adomian Decomposition Method (FADM) in parametric form to compute the solution for nonlinear dynamical system. We propose theorem for existence of FADM in parametric form for such system. Population dynamics model of two species; i.e., prey-predator model, involving fuzzy parameters and fuzzy initial condition is solved using proposed method, and results are compared at core.