Control of Ebola Epidemic System Based on Terminal Synergetic Controller Design

Abstract

The Ebola virus disease (EVD) is the deadly epidemic diseases, which needs to be concerned about eradicating the spread of the disease. Studies about the policy or strategy to control the diseases have been conducted through different differential mathematical models as seen in several previous works. This paper focused on the study of applying feedback control scheme to determine the multiple control policies which are the combination of treatment and prevention actions for the EVD epidemic system. The synergetic control (SC) method can provide the chattering free characteristic for the control system. Moreover, terminal synergetic control (TSC) method can further improve the convergence rate of the control system. Thus, the TSC method was employed to define the multiple control polices for the EVD system in this study. Then, the stability of the control system was investigated. The control system was simulated to illustrate the performance of the designed terminal synergetic controller compared with the conventional synergetic controller. It was clear that using this control method, the EVD epidemic system could be regulated under the control policies without chattering, and the convergence rate of the control system was improved. Therefore, the determination the control policy for the Ebola epidemic system can be conducted alternatively and appropriately by the terminal synergetic controller design procedure.