Optimal Control Analysis Applied on Marburg Virus Infection Among Population in Africa

Abstract

Marburg virus disease was detected in 1967 after simultaneous outbreaks in Germany and Serbia. It is not an airborne disease. Many Researcher did mathematical modeling analysis for Marburg Virus [1]. In this study considering a deterministic mathematical model to interpret the transmission dynamics of MVD infection including two-time dependent control strategies with providing isolation individuals in the precedence. To minimize the infection level optimal control strategies are carried out by using the Pontryagins Maximum Principle. By calculating the basic reproduction number, we determine the disease-free equilibrium and and endemic equilibrium points. If the controls apply on the isolation individuals as personal protective measure (wearing mask, hand wash, avoiding bad food habit) and supportive hospital therapy are implemented, the disease will be minimized. Simulation of optimal control of the model revealed the same thing. The goal of this study is to how individuals with strong immune system contribute to the overall Marburg virus infection.