On the global stability of SIS, SIR and SIRS epidemic models with standard incidence

Cruz Vargas-De-León

Chaos, Solitons & Fractals, 2011, vol. 44, issue 12, 1106-1110

Abstract: In this paper, we establish the global stability conditions of classic SIS, SIR and SIRS epidemic models with constant recruitment, disease-induced death and standard incidence rate. We will make ingenious linear combination of known functions, common quadratic and Volterra-type, and of a new class of functions, we call composite-Volterra function, for obtain a suitable Lyapunov functions. In particular, for SIRS model we prove the global stability of the endemic equilibrium under a condition of parameters.

Date: 2011
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Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:12:p:1106-1110

DOI: 10.1016/j.chaos.2011.09.002

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