Lyapunov functions for a dengue disease transmission model

Jean Jules Tewa, Jean Luc Dimi and Samuel Bowong

Chaos, Solitons & Fractals, 2009, vol. 39, issue 2, 936-941

Abstract: In this paper, we study a model for the dynamics of dengue fever when only one type of virus is present. For this model, 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 when it is greater than one there is an endemic equilibrium which is also globally asymptotically stable.

Date: 2009
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:2:p:936-941

DOI: 10.1016/j.chaos.2007.01.069

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