Nonlinear Sub-Optimal Controller for Ebola Virus Disease: State-Dependent Riccati Equation Approach

Ebola Virus Disease (EVD) is one of the highly contagious, systemic, and deadly epidemic diseases in humans. In this work, the deterministic compartmental model for the Ebola outbreak based on the extended Susceptible-Exposed-Infective-Recovered (SEIR) type model is considered. To investigate the effect of preventive commands for people with symptoms over a specified time, the nonlinear sub-optimal control as the hospitalization and quarantine strategies is proposed. Numerical simulation shows that via the State-Dependent Riccati Equation (SDRE) approach, the preventive scenarios reduce the exposed, infected, and quarantine sub-populations and improve the control effort in the early stages of the outbreak. An important superiority of this design instruction is the preservation of the nonlinear characteristics of the system. Finally, the simulation is done and the numerical results of the SDRE approach will be compared with the outputs of the Terminal Synergistic Control (TSC) method.