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

Jabbari A., Kheiri H., Bekir A.

OPEN ENGINEERING, vol.5, no.1, pp.148-156, 2015 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1515/eng-2015-0020
  • Journal Name: OPEN ENGINEERING
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.148-156
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this work, we present a dynamic behavior of the avian-human influenza epidemic model by using effcient computational algorithm, namely the multistage differential transform method(MsDTM). The MsDTM is used here as an algorithm for approximating the solutions of the avian-human influenza epidemic model in a sequence of time intervals. In order to show the efficiency of the method, the obtained numerical results are compared with the fourth-order Runge-Kutta method (RK4M) and differential transform method(DTM) solutions. It is shown that the MsDTM has the advantage of giving an analytical form of the solution within each time interval which is not possible in purely numerical techniques like RK4M.