The Optimal Control Strategy of Virus Transmission Based on Caputo-Fabrizio Order

Hepatitis B virus (HBV) is a serious threat to human health as it can cause the chronic hepatitis B, and eventually liver cancer. It also has become one of the major threats to public health in the world. In this paper, considering the rationality of using standard incidence in describing HBV infection, we propose a Caputo-Fabrizio order model with standard incidence. Local stable analysis and global stable simulation are given. We also use the real data to estimate the parameters of this model. The simulation results can fit the data well. Moreover, we propose an optimal control model and give the optimal therapy strategy, which show that optimal therapy can reduce the cost and side effects while ensuring the therapeutic effect.