Threshold Dynamics of an Epidemic Model with Nonlinear Incidence Rates
Mouhcine Naim1, Fouad Lahmidi1, Abdelwahed Namir2
1Laboratory of Analysis, Modeling and Simulation, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Casablanca, Sidi Othman Morocco.
Abstract:
In this paper, we consider an SEIS epidemic model with infectious force in latent and infected period, which incorporates by nonlinear incidence rates. The local stability of the equilibria is discussed. By means of Lyapunov functionals and LaSalle's invariance principle, we proved the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium. An application is given and numerical simulation results based on real data of COVID-19 in Morocco are performed to justify theoretical findings.
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