Numerical Analysis of an Avian Influenza Epidemic Model

In this paper we numerically analyze the transmission of Avian influenza virus by using a dynamic mathematical model. We proposed a new numerical model that converges unconditionally and then analyzed it for the continuous dynamical system. Later, outcomes of our proposed model were compared with already known numerical methods such as Euler and Explicit Runge-Kutta (RK-4). Our proposed numerical method maintains all important properties of continuous model. Moreover, for any given step size it converges to true steady states.