The Hopf Bifurcation Analysis and Optimal Control of a Delayed SIR Epidemic Model

We propose a delayed SIR model with saturated incidence rate. The delay is incorporated into the model in order to model the latent period. The basic reproductive number R0 is obtained. Furthermore, using time delay as a bifurcation parameter, it is proven that there exists a critical value of delay...

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Veröffentlicht in:	International journal of analysis 2014-01, Vol.2014 (2014), p.1-10
Hauptverfasser:	Abta, Abdelhadi, Laarabi, Hassan, Talibi Alaoui, Hamad
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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