A minimum principle for stochastic control of hepatitis C epidemic model

Abstract

Abstract In this paper, we discussed a stochastic optimal control of hepatitis C that minimizes the side effect and reduces the viral load. The control variables represent the drug therapy used for blocking a new infection and virus production. The solution of control problem is solved using the stochastic minimum principle and a four-step scheme. The numerical simulation is carried out to justify the theoretical analysis. The result shows that using both types of drugs for therapy is much more effective.

Keywords

• Optimal control
• Hepatitis C virus
• Therapy
• The stochastic minimum principle
• A four-step scheme