Mathematical model of dengue fever and its sensitivity analysis

Ali T. M., Karim M. F. A., KAMIL A. A.

Pakistan Journal of Statistics, vol.31, no.6, pp.717-731, 2015 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 6
  • Publication Date: 2015
  • Journal Name: Pakistan Journal of Statistics
  • Journal Indexes: Scopus
  • Page Numbers: pp.717-731
  • Keywords: Dengue, Endemic equilibrium, Reproductive number, Sensitivity analysis
  • Istanbul Gelisim University Affiliated: No

Abstract

In this paper, a deterministic mathematical model describing the dynamics of dengue fever is presented. The human population is subdivided into three classes; the susceptible, infected, and recovered humans. The mosquitoes subdivided into three classes of the aquatic, susceptible, and infected mosquitoes. The basic dynamics and the reproduction number is calculated and analyzed. The sensitivity analysis of the deterministic mathematical model is carried out in order to establish the relative significance of the model parameters to the disease spread and control. Numerical analysis is carried out to show the dynamics of the disease.