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Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate

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  • In this paper, we consider a delayed $SIR$ epidemic model with density dependent birth process. For the model with larger birth rate, we discuss the asymptotic property of its solutions. Furthermore, we also study the existence of Hopf bifurcation from the endemic equilibrium of the model and local asymptotic stability of the endemic equilibrium.
    Mathematics Subject Classification: Primary: 34K20, 34KD05, 45J05, 92D30.


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