Lyapunov function of SIR and SEIR model for transmission of dengue fever disease. (1st January 2013)

• Record Type: Journal Article
• Authors: Syafruddin, S.; Noorani, Mohd Salmi Md.
• Is Part Of: International journal of simulation and process modelling. Volume 8:Number 2/3(2013)
• Page Start: 177
• Page End: 184
• Publication Date: 2013-01-01
• Subjects: dengue fever -- lyapunov function -- stability -- SEIR model -- SIR model; Management -- Computer simulation -- Periodicals; Mathematical models -- Periodicals; Operations research -- Periodicals; Simulation methods -- Periodicals; 003.05
• Languages: English
• ISSNs: 1740-2123

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.