SEI model with varying transmission and mortality rates
نویسنده
چکیده
An SEI model with distributed delay is proposed where the transmission and the death rates depend on the age of infection. The basic reproduction number R0 is identified as a threshold quantity for the stability of equilibria. If R0 < 1, then the disease-free equilibrium is globally asymptotically stable and the disease dies out. On the contrary, ifR0 > 1, then a locally asymptotically stable endemic equilibrium appears, and applying a permanence theorem for infinite dimensional systems we obtain that the disease persists in the population.
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