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TIME DELAYS IN EPIDEMIC MODELS

Modeling and Numerical Considerations

  • Conference paper
Delay Differential Equations and Applications

Part of the book series: NATO Science Series ((NAII,volume 205))

Abstract

Continuous time deterministic epidemic models are traditionally formulated as systems of ordinary differential equations for the numbers of individuals in various disease states, with the sojourn time in a state being exponentially distributed. Time delays are introduced to model constant sojourn times in a state, for example, the infective or immune state. Models then become delay-differential and/or integral equations. For a review of some epidemic models with delay see van den Driessche [228]. More generally, an arbitrarily distributed sojourn time in a state, for example, the infective or immune state, is used by some authors (see [69] and the references therein).

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  1. Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada

    J. Arino

  2. Department of Mathematics and Statistics, University of Victoria BC, Canada

    P. van den Driessche

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Arino, J., van den Driessche, P. (2006). TIME DELAYS IN EPIDEMIC MODELS. In: Arino, O., Hbid, M., Dads, E.A. (eds) Delay Differential Equations and Applications. NATO Science Series, vol 205. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3647-7_13

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