A Mathematical Model of the Dynamics of Hepatitis B Virus HBV Infection with Controls

Abstract

In this model we study the dynamics and control of hepatitis B virus (HBV) infection which is a major health problem worldwide by considering condom, vaccination and treatment as control measures. Initially we determined the basic reproduction number R_0 for the model and observe that once R_0<1, the disease free equilibrium will be stable and HBV infection can be controlled using the three control measures and we also study the solution of the endemic equilibrium point of the model. Next we take the sensitivity analysis of the basic reproduction number of HBV infection and obtain that the endemicity of the infection will reduce with the controls. Finally, the numerical simulation result shows that combination of condom, vaccination and treatment is the most effective way to control hepatitis B infection.

Analysis of Optimal Control Strategies for Preventing Computer Virus Infection and Reduce Program Files Damage with Other Symptoms

“…A biological virus like HIV or HBV cannot reproduce on its own, rather there must be a favorable viral -host interaction before it can replicate [4,5,6]. Similarly, malware is not a standalone program rather a code snippet that insert itself into other applications.…”