The Existence and Stability Analysis of the Equilibria in Dengue Disease Infection Model. (May 2015)

• Record Type: Journal Article
• Authors: Anggriani, N; Supriatna, A K; Soewono, E
• Is Part Of: Journal of physics. Number 622(2015)
• Publication Date: 2015-05
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/622/1/012039
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: In this paper we formulate an SIR (Susceptible - Infective - Recovered) model of Dengue fever transmission with constant recruitment. We found a threshold parameter K0, known as the Basic Reproduction Number (BRN). This model has two equilibria, disease-free equilibrium and endemic equilibrium. By constructing suitable Lyapunov function, we show that the disease- free equilibrium is globally asymptotic stable whenever BRN is less than one and when it is greater than one, the endemic equilibrium is globally asymptotic stable. Numerical result shows the dynamic of each compartment together with effect of multiple bio-agent intervention as a control to the dengue transmission.