Study on the Stability of a Kind of Fractional Order SIR Epidemic Model
In this paper,the stability of a kind of fractional order SIR epidemic model is investigated.For the case with no disease treatment,the stabilities of the equilibria are obtained by analyzing the eigenvalues of the model,and under certain conditions the existence and uniqueness of the uniformly steady-state solution is proved.Basis on above,we further consider the stabilities of the equilibria of the fractional order SIR epidemic model with treatment and obtain the condition for the occurring of backward bifurcation.Numerical simulations have been performed to verify the correctness of the obtained results.
Fractional-order SIR modelEquilibriumUniformly steady-state solutionStabilityBackward bifurcation
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