Journal of Computational and Applied Mathematics
A nonstandard numerical scheme of predictor-corrector type for epidemic models
Computers & Mathematics with Applications
Matrix nonstandard numerical schemes for epidemic models
WSEAS Transactions on Mathematics
Computers & Mathematics with Applications
Mathematical and Computer Modelling: An International Journal
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Respiratory Syncytial Virus (RSV) has long been recognized as the single most important virus causing acute severe respiratory-tract infections with symptoms ranging from rhinitis to bronchitis in children who may require hospitalization. Outbreaks of RSV occur every year and all children become infected within the first two years of life, and that overloads hospital casualty services. The transmission dynamics of RSV are strongly seasonal. Epidemics occur each winter in temperate climates and often coincide with the seasonal rainfall in tropical climates. In this paper we develop a non-standard numerical scheme for a SIRS seasonal epidemiological model for RSV transmission. This non-standard numerical scheme preserves the positivity of the continuous model and is applied to approximate the solution using different sizes of step. Finally this method is compared with some well-known explicit methods and simulations with data from Gambia and Finland are carried out.