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Epidemiological models with prevalence dependent endogenous self-protection measure
Authors:Kassa Semu Mitiku  Ouhinou Aziz
Institution:a Department of Mathematics, Addis Ababa University, P.O. Box 1176, Addis Ababa, Ethiopia
b African Institute for Mathematical Sciences (AIMS), 6 Melrose Road, Muizenberg 7945, South Africa
c University of Stellenbosch, Department of Mathematical Sciences, Private Bag X1, Matieland 7602, South Africa
Abstract: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.
Keywords:Dynamical systems  Epidemiological models  Infectious diseases  Behaviour change
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