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Math Biosci. 2011 Jan;229(1):41-9. doi: 10.1016/j.mbs.2010.10.007. Epub 2010 Nov 5.

Epidemiological models with prevalence dependent endogenous self-protection measure.

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Department of Mathematics, Addis Ababa University, P.O. Box 1176, Addis Ababa, Ethiopia.


A simple mathematical model for human disease epidemics that takes the human learning behaviour and self-protective measures into account is proposed and investigated. We have analysed the effect of endogenous self-protective measures with respect to the prevalence level of the disease and conversely. In the model it is assumed that people start reacting against contracting a disease with self-protective measures whenever they are informed about the disease and when the burden of the disease is in a recognizable stage. It is shown that increasing the average effectiveness of self-protective measures is more important in decreasing the prevalence of a disease than increasing the proportion of individuals in a population into which awareness is created.

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