Fuzzy Dynamical Systems in SIR and HIV Models

Abstract

In this report I applied Homotopy analysis method to solve SIR Model and HIV model using fuzzy initial boundary value problem. In order to solve ordinary differential equation we use a Zeroth order deformation equation which relates between linear differential equation to nonlinear differential equation. And then apply the Taylor series concept to change the equation into iterative form. We convert the HIV model into two crisp differential fuzzy model and after that we used Homotopy analysis method to solve HIV model using given initial condition. Homotopy analysis method is easy-to-use analytic method to solve fuzzy initial value problems.