ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, vol.69, no.1-2, pp.81-89, 2014 (SCI-Expanded)
Article / Article
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Fractional Differential Equations, Epidemic Model, Iterative Method, Non-Standard Scheme, Differential Transform Method, PARTIAL-DIFFERENTIAL-EQUATIONS, TRANSFORM METHOD
Ondokuz Mayıs University Affiliated:
In this paper, we consider the SEW (Susceptible-Exposed-Infected-Recovered) epidemic model by taking into account both standard and bilinear incidence rates of fractional order. First, the non-negative solution of the SEIR model of fractional order is presented. Then, the multi-step generalized differential transform method (MSGDTM) is employed to compute an approximation to the solution of the model of fractional order. Finally, the obtained results are compared with those obtained by the fourth-order Runge-Kutta method and non-standard finite difference (NSFD) method in the integer case.