An $SIR$ infectious diseases model with dispersal between two disjoint patches is addressed and discussed. The basic reproduction number $R_{0}$ is defined as the threshold parameter. If $R_{0}$ is below unity, the disease-free equilibrium is shown to be globally asymptotically stable. If $R_{0}$ is above unity and the minor condition holds, the disease persists in the population, and the unique endemic equilibrium is globally asymptotically stable.
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