Mathematical model of dengue fever and its sensitivity analysis

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

Pakistan Journal of Statistics, cilt.31, sa.6, ss.717-731, 2015 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 6
  • Basım Tarihi: 2015
  • Dergi Adı: Pakistan Journal of Statistics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.717-731
  • Anahtar Kelimeler: Dengue, Endemic equilibrium, Reproductive number, Sensitivity analysis
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

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.