Analytic Numeric Solution for SIRC Epidemic Model in Fractional Order

In this paper, we consider the SIRC (Susceptible-Infected-Recovered-Cross immune) epidemic model. First the non-negative solution of the SIRC model in 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. The obtained results are compared with the results by forth order Runge-Kutta method and nonstandard numerical method in the integer form. Finally, we present some numerical results.

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