Numerical solution of a problem in the theory of epidemics

Autor:	F. C. Hoppensteadt, Zdzislaw Jackiewicz
Rok vydání:	2006
Předmět:	Numerical Analysis education.field_of_study Computer simulation Applied Mathematics Diagonal Population Order (ring theory) Function (mathematics) Interval (mathematics) Computational Mathematics Bellman equation Applied mathematics Constant (mathematics) education Algorithm Mathematics
Zdroj:	Applied Numerical Mathematics. 56:533-543
ISSN:	0168-9274
DOI:	10.1016/j.apnum.2005.04.019
Popis:	We propose a numerical algorithm for a model of the spread of infection in the theory of epidemics. This model involves a threshold for becoming infective and leads to a system of delay-differential equations with the delay function which depends on the values of the unknowns over an interval. The numerical algorithm is based on diagonally implicit multistage integration formulas with stage order equal to the order of the method. This makes possible the efficient evaluation of past values to the accuracy compatible with the requested error tolerance. This algorithm is appicable to the general model without any simplifying assumptions on the parameters of the delay-differential system. Numerical results illustrate the effect of varying various parameters of the model on the spread of infection in a constant population.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::da6ac55f0e2cea2562fc015e1c11e068 https://doi.org/10.1016/j.apnum.2005.04.019 Zobrazit plný text záznamu Full Text from ScienceDirect