- P-ISSN3059-0604
- E-ISSN3059-1309
- KCI
ISSN : 3059-0604
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Prevention Strategies to Control an Epidemic using a SEIQHRV Model
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)
Rajesh Kumar Sharma (J.N.S. Government PG College)
Shivram Sharma (Government Postgraduate College)
Mohit,
S.
, Rajesh,
K.
S.
, &
Shivram,
S.
(2024). . , 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.