ON VALIDATION OF AN EPIDEMIOLOGICAL MODEL
DOI:
https://doi.org/10.4314/jfas.v11i2.2Keywords:
Mathematical Model, Existence and Uniqueness, Invariant Region, Positivity of SolutionAbstract
An epidemiological model is suitable to study disease dynamics in a population if it possesses the following properties: existence and uniqueness of solution, invariant region, and the positivity of solution. Based on that, we introduce an epidemiological model and the model is examined whether it possesses the aforementioned characteristics or not.
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References
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[2] Yuan, Y. (2012). The collision regions between two epidemic models: SIR vs. SEIR (Unpublished Senior Project). Bard College, New York.
[3] Neilan, R. L. M. (2009). Optimal Control Applied to Population and Disease Models
(Unpublished PhD Dissertation). University of Tennessee, Knoxville. Retrieved April 14,2017, from http: // trace.tennessee.edu/utk-graddiss/74
[4] Ibrahim, M. O., & Edogbanya, H. O. (2016). Threshold analysis of poverty and crime. Journal of the Nigerian Association of Mathematical physics, 35, 261 – 268
[5] Ellwein, L. M., Tran, H. T., Zapata, C., Novak, V., & Olufsen, M. S. (2008). Sensitivity analysis and model assessment: Mathematical models for arterial blood flow and blood pressure. Cardiovasc Eng., 8, 94 – 108
[6] Dhar, J., Tyagi, M., & Sinha, P. (2015). The impact of media on a new product innovation diffusion: A mathematical model. Bol. Soc. Paran. Mat., 33(1), 171-182.
[7] Kadaleka, S. (2011). Assessing the effects of nutrition and treatment in cholera dynamics: The case of Malawi. M. Sc. Dissertation, University of Der es Salaam
[8] Oguntolu, F. A., Olayiwola, R. O., Odebiyi, O. A., & Bello, A. O. (2015). Analytical simulation of cholera dynamics with control. International Journal of Innovative Science, Engineering Technology, 2(3), 582 – 593.
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Published
2019-03-16
How to Cite
AYOADE, A. A.; IBRAHIM, M. O.; PETER, O. J. .; AMADIEGWU, S. ON VALIDATION OF AN EPIDEMIOLOGICAL MODEL. Journal of Fundamental and Applied Sciences, [S. l.], v. 11, n. 2, p. 578–586, 2019. DOI: 10.4314/jfas.v11i2.2. Disponível em: https://jfas.info/index.php/JFAS/article/view/225. Acesso em: 30 jan. 2025.
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