Modeling Assumptions, Mathematical Analysis and Mitigation Through Intervention

An Application to Ebola Type Infectious Disease

  • Ram Singh Department of Mathematical Sciences, BGSB University
  • Naveen Sharma Department of Mathematical Sciences, BGSB University
  • Aditi Ghosh Department of Mathematics, University of Wisconsin-Whitewater, USA
Keywords: Ebola virus, dead bodies, stability analysis, Lyapunov functional

Abstract

Ebola virus is a life-threatening virus and has two major characteristics; one potential to have high mortality rate and the other infection transmission through newly infected dead bodies. There are some relevant features of Ebola that were observed during its recent outbreak: including varying rate of access to isolation facilities by patients and transmission of infection via improper handling of the dead bodies of infected diseased. Quick and safe burial may play an important role in the control and prevention of this virus. In this study, we consider mathematical modeling framework with four different cases for dynamics of Ebola virus with safe and unsafe burial practices, vaccination and treatment interventions with varying efficiency. The goal of this study is to show how timely treatment to Ebola leads to an effective control of the virus and, most importantly, how safe burial of dead bodies helps control the spread.

Published
2020-08-22
How to Cite
Singh, Ram, Naveen Sharma, and Aditi Ghosh. 2020. “Modeling Assumptions, Mathematical Analysis and Mitigation Through Intervention”. Letters in Biomathematics 6 (2), 1–19. https://lettersinbiomath.journals.publicknowledgeproject.org/index.php/lib/article/view/213.
Section
Research