Analysis of effectiveness of quarantine and isolation on the spread of Covid-19 during vaccination’s period with SEQIJR model

Abstract

Coronavirus (Covid-19) is an infectious disease that attacks the respiratory tract caused by the newly discovered corona virus. In dealing with the spread of covid-19, WHO has declared quarantine and isolation and carried out vaccinations. The implementation of quarantine and isolation during the vaccination’s period is expected to suppress the spread of covid-19. The purpose of the study was to determine the effectiveness of quarantine and isolation during the vaccination period in suppressing the spread of covid-19. In this study, an analysis of the effectiveness of quarantine and isolation against the spread of covid-19 disease was carried out during the vaccination’s period using the SEQIJR model. The SEQIJR model is in accordance with the problems that occur, which involve 6 classes are susceptible (S), exposed (E), quarantined (R), infectious (I), isolated (J), and recovered (R). Through this model, there are two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point. The disease-free equilibrium point (ε0) is locally asymptotically stable with R0 < 1 and the endemic equilibrium point (ε0*) is unstable. This has the interpretation that the spread of covid-19 will disappear from the population over time. The simulation shows that tightening interventions in the form of quarantine and isolation can accelerate the decline in the rate of spread of covid-19. Meanwhile, isolation interventions are better than quarantine in suppressing the spread of covid-19.