LYAPUNOV CONTROL DESIGN ON MATHEMATICAL MODEL OF COVID-19 WITH MOBILITY ASPECT

• Main Author: Sa'adah, Aminatus
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/65101
• Institution: Institut Teknologi Bandung

Coronavirus disease-2019 (COVID-19) is an infectious disease caused by the new variant of coronavirus that is Severe acute respiratory syndrome coronavirus 2 (SARSCoV- 2). The COVID-19 then spread fast around the world and make the pandemic. COVID-19 can transmit by human-to-human directly. So, mobility is an important aspect of the spreading of this disease. In this thesis, we develop the SEIR mathematical model of COVID-19 with and without mobility aspect. Then, we construct the controller design with vaccination and treatment as the control variables and aim to decrease the number of exposed and infected individuals. Some of the parameters of the model are unknown so the genetic algorithm is used to estimate the value of the parameters based on the cumulative number of positive cases in DKI Jakarta and West Java province. Besides, in real life, the dynamics of the model can affect by internal and external factors which caused the difference between the model and the real condition. So, we develop the mathematical model of COVID-19 with disturbance. Then, we construct the control design based on the Lyapunov quadratic function to cover the non-linearity and instability of the model. Usually, the parameter values of the controller are determined by trial and error, but in this thesis, the parameters are estimated using the genetic algorithm to obtain the optimal control design. Based on the numerical simulation, the control strategy of vaccination and treatment together can decrease the number of infected individuals in DKI Jakarta about 81.47% and West Java about 73.98%.