LPV Control of an Influenza Model with Vaccination and Antiviral Treatment

In this paper, a SEIAR (Susceptible, Exposed, Infected, Asymptomatic and Recovered individuals) model of influenza which consists of 5 states is considered. Then, considering the nonlinearities in the model, the Linear Parameter Varying (LPV) model is generated and by using two control factors including vaccination and antiviral treatment, we try to control and prevent the influenza outbreak. Next, an appropriate controller is designed using LMI (Linear Matrix Inequality) formulations. The suggested controller is applied to the simulated model and it is seen that it can perfectly control the system and prevent divergent behavior of the Influenza disease.