Dynamic Systems and Applications 21 (2012) 33-48 ON A SEIR EPIDEMIC MODEL WITH DELAY
نویسندگان
چکیده
We improve previous results for an SEIR-type disease transmission model with fixed latency period, standard incidence and variable population size. Infected individuals are assumed to be unable to give birth, and individuals recover from the disease and acquire permanent immunity with probability f , and dies from the disease with probability 1 − f . In particular, by a novel application of the envelope method we give a complete classification of the equilibria, we show the stability of the disease free equilibrium for R0 < 1, and the proportional persistence of the disease for R0 > 1. AMS (MOS) Subject Classification. 25C10, 92D25
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تاریخ انتشار 2012