Nonexistence of periodic solutions for a class of epidemiological models
Date
2010-05-06T15:35:13Z
Authors
Busenberg, Stavros
Van den Driessche, P.
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Abstract
Disease transmission models are formulated under assumptions that the size of the population varies and the force of infection is of the proportionate mixing type. Conditions are given that rule out the possibility of periodic solutions for such models. Examples are considered and sharp thresholds identified.