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Dynamics of a delayed epidemic model with non-monotonic incidence rate

✍ Scribed by Hai-Feng Huo; Zhan-Ping Ma

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
338 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

A delayed epidemic model with non-monotonic incidence rate which describes the psychological effect of certain serious on the community when the number of infectives is getting larger is studied. The disease-free equilibrium is globally asymptotically stable when R 0 < 1 and is globally attractive when R 0 ΒΌ 1 are derived. On the other hand, The disease is permanent when R 0 > 1 is also obtained. Numerical simulation results are given to support the theoretical predictions.

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Stability of SIR models has been studied extensively within the framework of disease epidemiology. We formulate a nonlinear mathematical model to study the role of nonlinear incidence rates and the effect of time delay in a nonlinear logistically growing time delayed SIR model with variable populati