Prevention Strategies to Control an Epidemic using a SEIQHRV Model

한국수학교육학회지시리즈B:순수및응용수학 / 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)

Mohit, S. , Rajesh, K. S. , & Shivram, S. (2024). . 한국수학교육학회지시리즈B:순수및응용수학, 31(2), 131-158, https://doi.org/10.7468/jksmeb.2024.31.2.131

복사

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.

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논문 상세

Vol.31 No.2

Prevention Strategies to Control an Epidemic using a SEIQHRV Model

Abstract

한국수학교육학회지시리즈B:순수및응용수학