Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections

الملخص EN

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 ℜ0γ≤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 ℜ0γ>1.

We also show the permanence of this SIR model.

In addition, sufficient conditions are established for global asymptotic stability of the endemic equilibrium.