Lyapunov function of SIR and SEIR model for transmission of dengue fever disease

S. Syafruddin; Mohd Salmi Md. Noorani

doi:10.1504/IJSPM.2013.057544

Lyapunov function of SIR and SEIR model for transmission of dengue fever disease

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S. Syafruddin, Mohd Salmi Md. Noorani

2013 International Journal of Simulation and Process Modelling Vol. 8 Issue 2-3 Conference paper Cited by 58 SDG 17SDG 3

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. © 2013 Inderscience Enterprises Ltd.

Affiliations

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

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