DETERMINISTIC AND STOCHASTIC MODELS OF SARS-COV-2 VIRUS DYNAMICS WITH AND WITHOUT BODY IMMUNE

• Main Author: Mahesa, Fauzaan
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/54919
• Institution: Institut Teknologi Bandung

Coronavirus disease (COVID-19) is an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The SARS-CoV-2 virus virus belongs to the genus of Betacoronavirus and Coronaviridae family which has the zoonosis characteristic, that signifies this virus is mostly present in animals and then transmitted from animals to human beings. The mode of transmission of this disease is through droplets from an infected person when coughing, sneezing, or touching contaminated surfaces. Diseases caused by this virus in general can heal by itself without the need for special medicines so that the body immune system has an important role in healing the disease. This final project consists of four stages, the first is to build a deterministic model of SARS-CoV-2 virus without body immune, analyze the stability of its equilibrium point, and simulate it. Numerical simulations of the model provide explanations of SARS-CoV-2 virus dynamics. The next step is to build a stochastic model from the deterministic model that has been built previously and simulate it. Numerical simulations of this stochastic model provide estimated amount of the SARS-CoV-2. After that, the steps taken were to repeat the previous two steps with the addition of the body immune population. The results of the numerical simulations of the model of SARS-CoV-2 virus dynamics with body immune show that the body immune system has an effect on reducing the number of infected alveolus cells.