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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access March 11, 2015

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

Azizeh Jabbari, Hossein Kheiri and Ahmet Bekir
From the journal Open Engineering


In this work, we present a dynamic behavior of the avian-human influenza epidemic model by using efficient 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.


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Received: 2014-8-3
Accepted: 2015-2-9
Published Online: 2015-3-11

©2015 A. Jabbari et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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