On control design of a multi-group SEITR model

This paper provides a multi-group SEITR model with immunity, and studies the stability of this model. For this model, we give the stability analysis of disease-free equilibrium (DFE) which is related to the basic reproduction number. If the basic reproduction number is large than one, then the disease will persist in the population. In this case, we consider to design appropriate control strategy which can reduce the number of exposed population. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.