A Restricted SIR Model with Vaccination Effect for the Epidemic Outbreaks Concerning COVID-19

Abstract

This paper presents a restricted SIR mathematical model to analyze the evolution of a contagious infectious disease outbreak (COVID-19) using available data. The new model focuses on two main concepts: first, it can present multiple waves of the disease, and second, it analyzes how far an infection can be eradicated with the help of vaccination. The stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their stability. The basic reproduction number is calculated, and the positivity of the solutions is established. Numerical simulations are performed to determine if it is multipeak and evaluate vaccination's effects. In addition, the proposed model is compared to the literature already published and the effectiveness of vaccination has been recorded.

Prospect Theory Based Individual Irrationality Modelling and Behavior Inducement in Pandemic Control

“…Meanwhile, some studies [6][7][8] investigated macro-level approaches to control epidemic spread, such as restricting population movement or implementing proportional quarantine. Besides, studies [9][10][11][12] examined the impact of isolation and immunization on disease spread.…”

Introduction to the Special Issue on Recent Developments on Computational Biology-I

“…The newly implemented Bernoulli wavelet method improves the accuracy and converges when it is compared with the existing methods in the literature. In [14], authors presented a restricted SIR mathematical model to analyze the evolution of a contagious infectious disease outbreak (COVID-19) using available data. The new model focuses on two main concepts: first, it can present multiple waves of the disease, and second, it analyzes how far an infection can be eradicated with the help of vaccination.…”