Analisis Dinamik Model Transmisi COVID-19 dengan Melibatkan Intervensi Karantina

Abstract

This paper discusses the dynamics of COVID-19 transmission by involving quarantine interventions. The model was constructed by involving three classes of infectious causes, namely the exposed human class, asymptotically infected human class, and symptomatic infected human class. Variables were representing quarantine interventions to suppress infection growth were also considered in the model. Furthermore, model analysis is focused on the existence of equilibrium points and numerical simulations to visually showed population dynamics. The constructed model forms the SEAQIR model which has two equilibrium points, namely a disease-free equilibrium point and an endemic equilibrium point. The stability analysis showed that the disease-free equilibrium point was locally asymptotically stable at R0<1 and unstable at R0>1. Numerical simulations showed that increasing interventions in the form of quarantine could contribute to slowing the transmission of COVID-19 so that it is hoped that it can prevent outbreaks in the population.

The Effectiveness of Vaccination Against The Spread of COVID-19 with SEIR Mathematical Modeling in Gowa District

“…Because of the high level of transmission, WHO decided this case to be a pandemic since early 2020. Even the spread of COVID-19 higher than the spread of SARS-CoV and MERS-CoV (Resmawan et al, 2021).…”

“…Mathematical modelling is one of the main tools in epidemic planning which can help in making it easier to solve the COVID-19 problem. Through the mathematical modelling, it can be identified the transmission connect of COVID-19 by the epidemiology parameters, which can help in planning and considering the steps of proper control (Resmawan et al, 2021). The main focus of this research is the impact of distributing vaccines toward the spread of COVID-19 and mathematics SEIR Model.…”

Analisis Model Matematika Penyebaran Covid-19 Dengan Intervensi Vaksinasi Dan Pengobatan

“…Beberapa parameter yang menjadi pertimbangan model diantaranya adalah efektivitas vaksin, evektivitas protokol kesehatan, dan efektivitas pengobatan. Selain itu, penelitian terkait model matematika penyebaran COVID-19 juga dapat dijumpai pada [12,13,15,15,16,17,18,19,20].…”