Model Matematika pada Penyebaran Penyakit Covid-19 dengan Pengaruh Vaksinasi di DKI Jakarta

Abstract

a flow chart of the spread of Covid-19 with the effect of vaccination. This model obtains two equilibrium points, namely the disease-free equilibrium (í µí°¸0µí°¸0) point and the endemic equilibrium point (í µí°¸ µí°¸ *). Analysis of the system's stability around the equilibrium point gives the primary reproduction number (í µí± 0). From the analysis results, the system around the disease-free equilibrium point is (í µí°¸0µí°¸0) locally asymptotically stable when í µí± 0 < 1. Then a numerical simulation is carried out to provide a geometric picture related to the results that have been analyzed. The simulation results show that when conditions í µí± 0 < 1 occur, the disease will disappear, and under conditions í µí± 0 > 1, the disease will become epidemic. In regards to control strategy in field, this result could give a good understanding of means of slowing down the spread of covid-19.