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3. Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate.

Author

Bernoussi, Amine

Subjects
*EPIDEMICS, *IMMUNITY, *FUNCTIONALS, *EQUILIBRIUM, *LYAPUNOV functions
Abstract

In this paper, we propose the global dynamics of an SIR epidemic model with distributed latent period, immunity, relapse, homestead-isolation of the susceptible and infectious individuals and general incidence rate. The resulting model has a disease-free equilibrium and if R 0 > 1 , then the SIR epidemic model admits a unique endemic equilibrium. By using suitable Lyapunov functionals and LaSalle's invariance principle, the global stability of the disease-free equilibrium and the endemic equilibrium is established, under suitable monotonicity conditions on the incidence function. [ABSTRACT FROM AUTHOR]

Published
2023
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