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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.31 No.2

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

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

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