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A Model of Dengue Fever with Control

In: Disease Prevention and Health Promotion in Developing Countries

Author

Listed:
  • Mohamed Derouich

    (University Mohamed Ier, Laboratory of Stochastic and Deterministic Modelling (LaSDM), National School Applied Sciences (ENSA))

  • Mohamed E. N. Lamlili

    (University Mohamed Ier, Laboratory of Stochastic and Deterministic Modelling (LaSDM), Faculty of Sciences)

Abstract

According to the World Health Organization, incidence and prevalence of dengue has shown a dramatic increase in the last decades. Worldwide, 390 million dengue infections are diagnosed each year with a prevalence of 3.9 billion people. A total of 128 countries, are at risk of infection with dengue viruses. Unfortunately, there is no specific treatment for dengue/severe dengue. However, prevention and control namely vaccination, education campaign, use of appropriate protection... can help to avoid this disease. A mathematical model based on differential equations and optimal control theory is used to show how infected population could be reduced and epidemic outbreak slowed down. A stability analysis of equilibrium points is done and different simulations are carried out according to levels of preventions and controls. The epidemics is discussed and illustrated by figures for different values of parameters.

Suggested Citation

  • Mohamed Derouich & Mohamed E. N. Lamlili, 2020. "A Model of Dengue Fever with Control," Springer Books, in: Abdesslam Boutayeb (ed.), Disease Prevention and Health Promotion in Developing Countries, chapter 0, pages 149-182, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-34702-4_12
    DOI: 10.1007/978-3-030-34702-4_12
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