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

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)177-184
Number of pages8
JournalInternational Journal of Simulation and Process Modelling
Volume8
Issue number2-3
DOIs
Publication statusPublished - 2013

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Basic Reproduction Ratio
Globally Asymptotically Stable
Lyapunov functions
Lyapunov Function
Epidemiology
Endemic Equilibrium
Less than or equal to
Model

Keywords

  • Dengue fever
  • Lyapunov function
  • SEIR model
  • SIR model
  • Stability

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics
  • Modelling and Simulation

Cite this

Lyapunov function of SIR and SEIR model for transmission of dengue fever disease. / Syafruddin, S.; Md. Noorani, Mohd. Salmi.

In: International Journal of Simulation and Process Modelling, Vol. 8, No. 2-3, 2013, p. 177-184.

Research output: Contribution to journalArticle

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