2004 | OriginalPaper | Buchkapitel
Deterministic Model in Contagious Disease
Erschienen in: Mathematical Modelling
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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This case study extends past work by Caldwell and Ram in the study of a deterministic model in the theory of contagious disease. A more realistic model is considered by introducing a third variable, namely, the number of removals in the population. Numerical results are obtained by using the Runge-Kutta-Fehlberg method including error control. Results and graphs are produced to show the effects of variation of the infection rate and the removal rate on the number of removals from the population over long time periods. These results are validated and are shown to agree well with analytical results.