Stability And Numerical Investigation Of Modified SIR Model With Hospitalisation And Quarantine

Authors

  • Gurpreet Singh Tuteja

Abstract

Abstract: The epidemic disease COVID-19 caused by SARS-CoV-9 (Severe Acute Respiratory Syndrome Coronavirus) [2] has affected the population of almost all the countries with severely shutting down their social and financial life.  The international borders are restricted and GDP of almost all countries declined during this pandemic period.  This disease is highly contagious and spreads through one to one contact (physical closeness) [4]. It spreads through the air in the form of small droplets transmitted from an infected person’s breath, cough,  sneeze or even when verbal communication  [23].  The number of confirmed cases and deaths are alarmingly rising with each passing day.  The different strategies to curb the spread includes ensuring sufficient hygiene by regularly washing hands,  keeping unwashed hands away from the face, avoiding public areas and maintaining social distance. But once, an individual is contracted to the disease then during infected with Covid-19, care is required to save a life which includes quarantine and hospitalisation if required. The asymptomatic carriers of the disease spread it without knowing the fact that they are the carriers. This paper formulates and solves numerically the modified SEIR model with vital dynamics. The study introduces three new compartments viz. Quarantine, Hospitalisation and Recovered in the SEIR model. The importance of these compartments is discussed numerically and finally, the stability of the model is also discussed.

Published

2020-12-01

Issue

Section

Articles