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| Format: | Artículo científico |
| Language: | en |
| Published: |
Universidad EAFIT
2017
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| Online Access: | https://www.redalyc.org/articulo.oa?id=83550861004 https://www.redalyc.org/journal/835/83550861004/ https://www.redalyc.org/journal/835/83550861004/html/ https://www.redalyc.org/journal/835/83550861004/83550861004.epub https://www.redalyc.org/journal/835/83550861004/movil |
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Table of Contents:
- Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) Gilberto Gonzalez Parra Abraham J. Arenas Miladys R. Cogollo Ingeniería Itˆo’s formula brownian motion positive solutions Seasonal epidemic model respiratory syncytial virus In this paper we investigate the positivity and boundedness of the solution of a stochastic seasonal epidemic model for the respiratory syncytial virus (RSV ). The stochasticity in the model is due to fluctuating physical and social environments and is introduced by perturbing the transmission parameter of the seasonal disease. We show the existence and uniqueness of the positive solution of the stochastic seasonal epidemic model which is required in the modeling of populations since all populations must be positive from a biological point of view. In addition, the positivity and boundedness of solutions is important to other nonlinear models that arise in sciences and engineering. Numerical simulations of the stochastic model are performed using the Milstein numerical scheme and are included to support our analytic results. 2017 artículo científico 1794-9165 https://www.redalyc.org/articulo.oa?id=83550861004 https://www.redalyc.org/journal/835/83550861004/ https://www.redalyc.org/journal/835/83550861004/html/ https://www.redalyc.org/journal/835/83550861004/83550861004.epub https://www.redalyc.org/journal/835/83550861004/movil en http://www.redalyc.org/revista.oa?id=835 Ingeniería y Ciencia application/pdf Universidad EAFIT Ingeniería y Ciencia (Colombia) Num.25 Vol.13