Transmission dynamics of a two-city SIR epidemic model with transport-related infections (Q1714754)

Summary: A two-city SIR epidemic model with transport-related infections is proposed. Some good analytical results are given for this model. If the basic reproduction number \(\mathfrak R_{0\gamma}\leq 1\), there exists a disease-free equilibrium which is globally asymptotically stable. There exists an endemic equilibrium which is locally asymptotically stable if the basic reproduction number \(\mathfrak R_{0\gamma}> 1\). We also show the permanence of this SIR model. In addition, sufficient conditions are established for global asymptotic stability of the endemic equilibrium.