Control Design and Stability Analysis of a Two-Infectious-State Awareness Epidemic Model

This paper focuses on the control design and stability analysis of an awareness Susceptible-Exposed-Infected-Vigilant (SEIV) epidemic system which has two infectious states over arbitrary directed networks. A state feedback controller is firstly applied to the generalized SEIV model with human awareness, and explores the medical treatment usage against the epidemic propagation. After applying the control scheme into the epidemic system, the epidemic threshold condition is found to guarantee the exponential stability of the system. Simulation results are illustrated to verify the threshold condition as well as the performance of the control design which is able to reduce the epidemic outbreak and effectively inhibiting the epidemic dissemination.