NON- INTEGER MATHEMATICAL MODEL OF RESPIRATORY SYNCYTIAL VIRUS
Abstract
Respiratory syncytial virus (RSV), also known as a human respiratory syncytial virus (hRSV) and human orthopneumovirus, is a common, transmittable virus that roots respiratory tract diseases. It is a negative-sense, single-stranded Ribonucleic acid (RNA) virus. It gets its name from syncytia, which are huge cells that form when infected cells merge. In this paper fractional order model of the respiratory syncytial virus (RSV) virus will be developed. The Caputo fractional derivative operator of the order will be used to generate the model scheme of non-integer differential equations. To calculate an estimated solution of the system of nonlinear fractional differential equations, the Laplace-Adomian Decomposition Method was used. Infinite series was produced as solutions to fractional differential equations. The model's proposed series solution converges quickly to its precise value. The obtained results are compared to the standard case.
References
Arenas, A. J., Moraño, J. A., & Cortés, J. C. (2008). Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Computers & Mathematics with Applications, 56(3), 670-678. doi:10.1016/j.camwa.2008.01.010
Biazar, J. (2006). Solution of the epidemic model by Adomian decomposition method. Applied Mathematics and Computation, 173(2), 1101-1106. https://doi.org/10.1016/j.amc.2005.04.036
Center for disease control and prevention(CDC) (2022) https://www.cdc.gov/rsv/index.html#:~:text=Respiratory%20syncytial%20(sin%2DSISH%2D,for%20infants%20and%20older%20adults.
Chanock, R., & Roizman, B. (1957). Recovery from infants with respiratory illness of a virus related to chimpanzee coryza agent (CCA). I. Isolation, properties, and characterization. American Journal of Hygiene, 66(3), 281-90. doi:10.1093/oxfordjournals.aje.a119901
Farman, M., Saleem, M. U., Ahmad, A., & Ahmad, M. O. (2018). Analysis and numerical solution of SEIR epidemic model of measles with non-integer time fractional derivatives by using Laplace Adomian Decomposition Method. Ain Shams Engineering Journal, 9(4), 3391-3397. https://doi.org/10.1016/j.asej.2017.11.010
Copyright (c) 2023 FUDMA JOURNAL OF SCIENCES
This work is licensed under a Creative Commons Attribution 4.0 International License.
FUDMA Journal of Sciences