epidemic model

In this paper, we introduce a two-strain SIR epidemic model with viral mutation and vaccine administration.  We discuss and analyze the existence and stability of equilibrium points.  This model has three types of equilibrium points, namely disease-free equilibrium, dominance equilibrium point of strain two, and coexistence endemic equilibrium point.  The local stability of the dominance equilibrium point of strain two and coexistence endemic equilibrium point are verified by using the Routh--Hurwitz criteria, while for the global stability of the dominance equilibrium point of strain two,

This paper proposes the Caputo Fractional Reduced Differential Transform Method (CFRDTM) for Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model with fractional order in a host community.  CFRDTM is the combination of the Caputo Fractional Derivative (CFD) and the well-known Reduced Differential Transform Method (RDTM).  CFRDTM demonstrates feasible progress and efficiency of operation.  The properties of the model were analyzed and investigated.  The fractional SEIR epidemic model has been solved via CFRDTM successfully.  Hence, CFRDTM provides the solutions of the model in the fo