Mathematical Modeling of the Transmission Dynamics of Ebola Virus Disease with control Strategies

Authors

  • Stephen Edward Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
  • Eva Mwaseba Lusekelo Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
  • Dominick Michael Ndidi Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
  • Emanuel Simanjilo Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania

Keywords:

Ebola virus, therapeutic treatment, reproductive number, Education campaign, Safe burial.

Abstract

In this paper we develop a deterministic compartmental mathematical model for the spread of the Ebola virus disease (EVD) in the community. Our model incorporates education campaigns, quarantine, safe burial and therapeutic treatment as control strategies to bring the disease to an end. We derived the effective reproductive number for the model, and proved the stability of equilibrium points. We performed numerical simulations of the model and our results show that all control measures under consideration have an effect of decreasing severity of the epidemic when constantly administered. Furthermore, we found that reducing the number of contacts with infectious individuals in the general population is the most effective intervention method for mitigating an EVD epidemic.

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Published

2017-04-30

How to Cite

Edward, S., Lusekelo, E. M., Ndidi, D. M., & Simanjilo, E. (2017). Mathematical Modeling of the Transmission Dynamics of Ebola Virus Disease with control Strategies. International Journal of Sciences: Basic and Applied Research (IJSBAR), 33(1), 112–130. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/7190

Issue

Vol. 33 No. 1 (2017)

Section

Articles

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