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On a nonautonomous SEIRS model in epidemiology. (English) Zbl 1245.34040
Summary: We derive some threshold conditions for permanence and extinction of diseases that can be described by a nonautonomous SEIRS epidemic model. Under the quite weak assumptions, we establish some sufficient conditions to prove the permanence and extinction of disease. Some new threshold values are determined.

34C11Qualitative theory of solutions of ODE: growth, boundedness
34D05Asymptotic stability of ODE
Full Text: DOI
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