Lyapunov function of SIR and SEIR model for transmission of dengue fever disease
by S. Syafruddin; Mohd Salmi Md. Noorani
International Journal of Simulation and Process Modelling (IJSPM), Vol. 8, No. 2/3, 2013

Abstract: In this paper, we construct a new Lyapunov function for a variety of SIR and SEIR model in epidemiology. Lyapunov functions are used to show that when the basic reproduction ratio is less than or equal to one, the disease-free equilibrium is globally asymptotically stable and the basic reproduction ratio is greater than one, and the endemic equilibrium is also globally asymptotically stable for both models.

Online publication date: Tue, 29-Jul-2014

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