AN OPTIMAL CONTROL MODEL for EBOLA VIRUS DISEASE

Sylvie Diane Djiomba Njankou, Farai Nyabadza

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

The most deadly Ebola outbreak in the history, which started in December 2013, is currently under control. The high case fatality rate of the Ebola outbreak inspired local and international control strategies. In this paper, the dynamics of Ebola virus disease is modeled in the presence of three control strategies. The model describes the evolution of the disease in the population when educational campaigns, active case-finding and pharmaceutical interventions are implemented as control strategies against the disease. We prove the existence of an optimal control set and analyze the necessary and sufficient conditions, optimality and transversality conditions. We conclude through numerical simulations that containing an Ebola outbreak needs early and long-term implementation of joint control strategies.

Original languageEnglish
Pages (from-to)29-49
Number of pages21
JournalJournal of Biological Systems
Volume24
Issue number1
DOIs
Publication statusPublished - 1 Mar 2016
Externally publishedYes

Keywords

  • Ebola Virus Disease
  • Interventions
  • Modeling
  • Optimal Control
  • Simulations

ASJC Scopus subject areas

  • Ecology
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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