S. Syafruddin, Mohd Salmi Md. Noorani
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. © 2013 Inderscience Enterprises Ltd.
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Parang Tambung, 90244 Sulawesi Selatan, Indonesia; School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
