Abstract
In this paper, approximate analytical solution of SIRC model associated with the evolution of influenza A disease in human population is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and pade approximant. The MDTM is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM. The analytical-numerical technique can be used in order to produce simulations with different initial conditions, parameter values for different values of the basic reproduction number. General Terms Cross-immunity, SIR model, Laplace transform, Influenza, Differential transformation method
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