Some epidemiological models with delays
Date
2009-09-24T22:45:11Z
Authors
van den Driessche, P.
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Abstract
Deterministic models for disease transmission often take the form of a system of non-linear, ordinary, differential equations. However, these become more complicated when time delays are used to model mechanisms in the dynamics of epidemics. Some models including delays are surveyed, with latent period, temporary immunity and length of infection as examples of such mechanisms. Threshold parameters are identified, and in some cases periodic solutions are found to arise by Hopf bifurcation. Current investigations include a model for bovine tuberculosis in a constant population cattle herd, and a variable population SIS model.