Optimal Control Study of an SEIQRS Model with Three Interventions on Complex Networks

Infectious diseases pose a significant threat to human life, health, and safety. Therefore, it is crucial to develop effective control strategies. This paper aims to address this concern through the construction of an SEIQRS model on complex networks. This model focuses on viruses that have an incubation period and are infectious during this period. In order to minimize the costs, optimal control theory is used to solve the time-varying control problem of vaccination, quarantine, and treatment. Subsequently, numerical simulations are performed to analyze the pros and cons of different control combinations, as well as the impact of parameters on the effectiveness of control. By doing so, better control strategies can be developed, and the relationship between parameters, contagion, and control can be revealed.