Dynamical analysis of the avian-human influenza epidemic model using multistage analytical method

摘要

In this paper, analytical result of avian-human influenza epidemic model has been investigated by applying homotopy analysis method (HAM) and by expanding it to hybrid numeric-analytic method which is known as multistage HAM (MSHAM). HAM is an algorithm which gives us the approximate solution of the problem in an arrangement of time interims and by modifying it to multistage one. Some advantages such as flexibility of picking the auxiliary linear operator and the auxiliary parameter are emerged, that leads us to achieve some excellent results in this work. Furthermore, in this analytical work, obtained results are compared and reported with numerical ones which were obtained previously from methods such as the Runge-Kutta (RK4) method.