Global Stability of a Delayed SIRI Epidemic Model with Nonlinear Incidence | Zendy

Amine Bernoussi | Zendy; Abdelilah Kaddar | Zendy; Saïd Asserda | Zendy

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Global Stability of a Delayed SIRI Epidemic Model with Nonlinear Incidence

Author(s) -

Amine Bernoussi,

Abdelilah Kaddar,

Saïd Asserda

Publication year - 2014

Publication title -

international journal of engineering mathematics

Language(s) - English

Resource type - Journals

eISSN - 2356-7007

pISSN - 2314-6109

DOI - 10.1155/2014/487589

Subject(s) - epidemic model , lyapunov function , nonlinear system , mathematics , stability (learning theory) , incidence (geometry) , exponential stability , latency (audio) , control theory (sociology) , computer science , medicine , physics , control (management) , artificial intelligence , telecommunications , population , geometry , environmental health , quantum mechanics , machine learning

In this paper we propose the global dynamics of an SIRI epidemic modelwith latency and a general nonlinear incidence function. The model is basedon the susceptible-infective-recovered (SIR) compartmental structure withrelapse (SIRI). Sufficient conditions for the global stability of equilibria (thedisease-free equilibrium and the endemic equilibrium) are obtained by meansof Lyapunov-LaSalle theorem. Also some numerical simulations are given toillustrate this result

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