Multi-Step Differential Transform Method for Solving the Influenza Virus Model with Disease Resistance

Abstract

The spread of the influenza virus with disease resistance has been modeled by the SEIR epidemic model. The model is of the form a system of four nonlinear differential equations where its exact solution is difficult to be determined. In this paper, the model is solved by a multi-step differential transform method (MS-DTM), which is a semi-analytical method. In this case, the domain of computation is divided into a finite number of sub-intervals. At each sub-interval, we apply DTM and continuity condition to ensure the continuity solutions. To see the effectiveness of the MS-DTM, we perform some comparative study between the MS-DTM and the MATLAB ode45 routine. Our MS-DTM solutions have good agreement with those of ode45 routine. The accuracy of MS-DTM can be improved by taking a smaller step size or increase the number of terms in each subinterval.