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In this article we analyze the global asymptotic behavior of a two-group SI (susceptible--infected) epidemic model with age of infection. We prove that the model exhibits the traditional threshold behavior where the disease-free equilibrium is globally asymptotically stable if the basic reproduction number is less than one, and the endemic equilibrium is globally asymptotically stable if the basic reproduction number is greater than one. We conclude the paper by presenting an application to nosocomial infections. Moreover some numerical simulations are presented for this application.

Two-Group Infection Age Model Including an Application to Nosocomial Infection