An SITR Analysis of Treatment Model of Hepatitis B Epidemic

This research article focuses on the formulation of a treatment model of hepatitis epidemic of type B. The dynamics of the model were studied and the local stability analyses of the equilibrium points of the model were investigated. Lyapunov functions were defined for the equilibrium points and their global stabilities were performed..........

On Some Compartmental Models for Ebola Disease

In this paper, we consider an epidemic model of Ebola disease which is deadly in its transmission. Local stability analysis of the model equilibria was investigated. We computed the basic reproduction number 〖 R〗_0 using the next generation method. The threshold parameter R_0 was found to be dependent on several hosts of model parameters in determining the stability of an invading epidemic into the population. We have numerically described the model trajectories using Matlab. KEYWORDS: Basic Reproduction number, Ebola virus, Next-generation matrix, Local stability analysis