바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

Prevention Strategies to Control an Epidemic using a SEIQHRV Model

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.2, pp.131-158
https://doi.org/10.7468/jksmeb.2024.31.2.131
Mohit Soni (Government Holkar (Model, Autonomous) Science College)
Rajesh Kumar Sharma (J.N.S. Government PG College)
Shivram Sharma (Government Postgraduate College)
  • Downloaded
  • Viewed

Abstract

This study investigates the impact of precautionary measures, such as isolating exposed individuals, wearing masks, and maintaining physical distance, on preventing infectious disease. A deterministic SEIQHRV epidemic model is employed for this purpose. The model’s positivity, boundedness, disease-free, and endemic equilibrium points are identified. A sensitivity test assesses the impact of preventive measures on infected classes. Results show that a basic reproduction number less than unity drives disease eradiction, while a higher unity value encourages the adoption of preventive measures.

keywords
basic reproduction number, epidemic model, next-generation matrix, sensitivity analysis and simulation.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics