Effect of Antiviral Therapy for HCV Treatment in the Presence of Hepatocyte Growth Factor

Santosh Kumar Sharma, Amar Nath Chatterjee () and Bashir Ahmad ()
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Santosh Kumar Sharma: Department of Mathematics, K. L. S. College, Magadh University, Nawada 805110, Bihar, India
Amar Nath Chatterjee: Department of Mathematics, K. L. S. College, Magadh University, Nawada 805110, Bihar, India
Bashir Ahmad: Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 3, 1-20

Abstract: 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.

Keywords: HCV; hepatocyte cells; proliferation; basic reproduction number; optimal control system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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