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Epidemic dynamics: discrete-time and cellular automaton models

✍ Scribed by R. Willox; B. Grammaticos; A.S. Carstea; A. Ramani

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 134 KB
Volume: 328
Category: Article
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(03)00552-1

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✦ Synopsis

We present a simple model of population dynamics in the presence of an infection. The model is based on discrete-time equations for sane and infected populations in interaction and correctly describes the dynamics of the epidemic. We ÿnd that for some choices of the parameters, the model can possess conserved quantities. We also propose an ultra-discrete, cellular-automaton, version of the model which despite its extremely simple structure still captures the essence of the epidemic dynamics.

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