Compartmental Analysis of Influenza A (H1N1) Virus using Induced SEIR Model
DOI:
https://doi.org/10.52783/jns.v14.4099Keywords:
Mathematical Modelling, SIR and SEIR Model, Jacobian Matrix, H1N1 VirusAbstract
Influenza A (H1N1) is highly contagious infectious disease. H1N1 has played a vital role in influenza pandemics from the deadly 1918 Spanish flu to milder but widespread 2009 swine flu pandemic. The 2009 H1N1 strain replaced older seasonal H1N1 strains and still circulate in current scenario. The improved induced SEIR mathematical model used to monitor H1N1 mutations to detect potential new pandemic threats through basic reproduction number, stability of the model. Also, MATLAB software used to represent the result graphically. The trends of several parts of the population that are suspectable, exposed, infectious, and recovered are examined based on the numerical solutions
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Bais, V. K., & Kumar, D. (2015). SITR Dynamical Model for Influenza. International Journal of Engineering Technology Science and Research IJETSR, 2.
Bhatta, R. B., & Rijal, B. (2024). Mathematical Modeling and Dynamic System in Epidemiology. AMC Journal (Dhangadhi), 5(1), 1-24.
De Pinho, M. D. R., & Nogueira, F. N. (2018). Costs analysis for the application of optimal control to seir normalized models. IFAC-PapersOnLine, 51(27), 122-127.
Kamrujjaman, M., & Mohammad, K. M. (2024). Modeling H1N1 Influenza Transmission and Control: Epidemic Theory Insights Across Mexico, Italy, and South Africa. arXiv preprint arXiv:2412.00039.
Kumar, D., Kumar, V., & Khurana, P. (2021). Analysis of Epidemiology: Integrating Computational Models. In Cognitive Computing Systems (pp. 235-263). Apple Academic Press.
Kumar, V., Kumar, D., & Pooja. (2016). SIR model of Swine Flu in Shimla. In Advanced Computing and Communication Technologies: Proceedings of the 9th ICACCT, 2015 (pp. 297-303). Springer Singapore.
Mir, S. A., Tandon, V. R., Abbas, Z., Singh, Z., Farhat, S., Pukhta, M. A., ... & Jan, N. (2009). History of swine flu. Jk Science, 11(4), 163.
Nishiura, H., Chowell, G., Safan, M., & Castillo-Chavez, C. (2010). Pros and cons of estimating the reproduction number from early epidemic growth rate of influenza A (H1N1) 2009. Theoretical Biology and Medical Modelling, 7, 1-13.
Peker-dobie, A., Ahmetolan, S., Bilge, A. H., Demirci, A., & Kaya, B. E. (2024). The Role of Population Density and Contact Rates for 2009 A (H1N1) and Covid-19 Pandemics. Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 7(3), 1186-1201.
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