An Epidemiological Control Strategy Model of SVEIMQR

A new epidemiological model SVEIMQR (Susceptible–Vaccinated–Exposed–Infected-Mutant–Quarantined–Recovered) is proposed to explore COVID-19 transmission mechanism. Based on this model, this paper puts forward a hybrid control strategy model by considering “protection strategy” and “blocking strategy” with the purpose to reduce the number of infected. By comparing the proposed hybrid control strategy model with other strategies, the effectiveness of the hybrid control strategy model is verified. In order to reduce the number of infected and the cost as much as possible, we analyze the optimal control of the hybrid control model, prove the existence of the optimal control by using the Pontryagin's minimum principle, and get the optimal control system. The experimental results show that with the help of optimal control theory can minimize the cost of the hybrid control strategy and achieve the optimal control effect.