A DYNAMIC SIR MODEL FOR THE SPREAD OF NOVEL CORONAVIRUS DISEASE 2019 (COVID-19) IN MALAYSIA
Nur Aziean Mohd Idris1, Siti Khadijah Mohtar2, Zaileha Md Ali3*, and Khadijah Abdul Hamid4
Faculty of Computer and Mathematical Sciences,
Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia
1This email address is being protected from spambots. You need JavaScript enabled to view it., 2This email address is being protected from spambots. You need JavaScript enabled to view it., 3*This email address is being protected from spambots. You need JavaScript enabled to view it., 4This email address is being protected from spambots. You need JavaScript enabled to view it.
The emergence of the first coronavirus disease 2019 (COVID-19) case in Malaysia has increased the number of infected cases. Hence, this study proposes a Susceptible-Infected-Recovery (SIR) epidemiological model of the COVID-19 epidemic to portray the outbreak's situation. The SIR model is numerically solved using the Fourth-order Runge-Kutta (RK4) method in Matlab®. The Euler method verifies that the graphical results of the SIR model are reliable and valid. In addition, this study analyses the stability of disease-free and endemic equilibriums of the SIR model by the Jacobian matrix. The results show the outbreak for phase 1 occurs in the first 100 days of the phase due to the increased infected cases in early March 2020. As for phase 2, the increases of infected cases in wave 2 make the outbreak occur throughout phase 2, with R0 being higher than phase 1. The infected population for phase 3 shows asymptotic behavior even though the infection rate increases, but the recovery rate is much higher than in phase 2. The local stability of the endemic equilibrium of all phases exists since the value of R0 is more than one. The system is locally asymptotic stable for all three phases since the obtained eigenvalues are real and negative.
Keywords: COVID-19, SIR Model, Compartment Model, Epidemic Model, Infectious diseases, Stability.
Published On: 1 October 2022
