A nonautonomous epidemic model with general incidence rate and quarantine

نویسنده

  • C'esar M. Silva
چکیده

We obtain threshold conditions for eradication and permanence of the disease for a nonautonomous SIRQ model with time-dependent incidence rates, given by functions of all compartments in some general family. The threshold conditions are given by some numbers that play the role of the basic reproduction number. Additionally, we obtain simple threshold conditions in the asymptotically autonomous and periodic settings and show that our thresholds coincide with the basic reproduction number in some common autonomous examples.

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تاریخ انتشار 2012