The co-dynamics of Hepatitis E and HIV

Abstract

This work investigates the co-dynamics of Hepatitis E and HIV.
Initially, we formulate a coinfection dynamics model of Hepatitis E
and HIV. Then, we analyze each model and discuss their mathematical
results. After that, we investigate the full model and present their
basic mathematical results. A bifurcation analysis for full model is
investigated. Further, we formulate a mathematical model with five
controls. Optimal control model is formulated and the necessary
results of the optimal control characterization are presented.
Moreover, numerical results with different control strategies are
presented. It is shown that each strategy has its own importance but
for the disease elimination the combination of all the five controls
at the same time can best decrease the disease burden from
the community.