SANTOSH KUMAR SHARMA
@santoshmumath@gmail.com
Applied Mathematics
Department of Mathematics, K.L.S College Nawada, Magadh University Bodh Gaya, Bihar
EDUCATION
M.SC (Maths), Ph.D (Pursuing)
RESEARCH, TEACHING, or OTHER INTERESTS
Modeling and Simulation, Numerical Analysis, Control and Optimization, Computational Mathematics
Scopus Publications
Scholar Citations
Scholar h-index
Scopus Publications
Santosh Kumar Sharma, Amar Nath Chatterjee, and Fahad Al Basir
Elsevier BV
Santosh Kumar Sharma, Amar Nath Chatterjee, and Bashir Ahmad
MDPI AG
The effect of antiviral therapy during Hepatitis C Virus (HCV) infection is the focus of this study. HCV infection destroys healthy hepatocyte cells in the human liver, causing cirrhosis and hepatocellular carcinoma. We introduce a cell-population model representing the long-term dynamics of HCV infection in response to antiviral drug therapies. The proliferation of existing cells can create hepatocyte cells in the system. Such models are based on the dynamics of susceptible hepatocytes, infected hepatocytes and HCV with interactive dynamics, which can give a complete understanding of the host dynamics of the system in the presence of antiviral drug therapy. Infection-free equilibrium and endemic equilibrium are two equilibrium states in the absence of drugs. The existence and stability conditions for both systems are presented. We also construct an optimal control system to find the optimal control strategy. Numerical results show that the effects of the proliferation rate and infection rate are critical for the changes in the dynamics of the model. The impact of different weight factors on the optimal control problem is analysed through numerical simulation.