In this study based on Bangladesh, a modified SIR model is produced and analysed for
COVID-19. We have theoretically investigated the model along with numerical simulations …

In this study, a very crucial stage of HIV extinction and invisibility stages are considered and
a modified mathematical model is developed to describe the dynamics of infection …

A mathematical model considering two strains of hepatitis B virus (HBV) chronic carriers, to
assess the impact of dose-structured imperfect vaccine, in a population, is designed and …

In this paper, we present a deterministic model for the transmission dynamics of HIV, in
which educational campaigns and therapy are both important for disease management. We …

A deterministic mathematical model with public health education campaigns and
antiretroviral therapy as control variables are formulated and analyzed using sensitivity …

Optimal control theory was used on the system of differential equations to achieve the goal
of minimizing the infected population and slow down the epidemic outbreak. Necessary …

A deterministic mathematical model with educational campaigns and ARV (Anti Retro Viral)
therapy as control variables are formulated and analyzed using optimal control theory (the …

Bifurcation is an indispensable tool to describe the behavior of the system at steady states.
Recently, the forward bifurcation showed the existence of both local and global stability of …

Hepatitis B is a life-threatening liver infection due to the hepatitis B virus. Hepatitis B virus
(HBV) infection is one of the predominant public health challenges globally. We develop a …

The enormous success made in the development of drugs for Human Immunodeficiency
Virus (HIV) infection to suppress the viral load of the disease, avert death and suffering due …