Numerical solution of threshold problems in epidemics and population dynamics - Publikacja - MOST Wiedzy

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Numerical solution of threshold problems in epidemics and population dynamics

Abstrakt

A new algorithm is proposed for the numerical solution of threshold problems in epidemics and population dynamics. These problems are modeled by the delay-differential equations, where the delay function is unknown and has to be determined from the threshold conditions. The new algorithm is based on embedded pair of continuous Runge–Kutta method of order p = 4 and discrete Runge–Kutta method of order q = 3 which is used for the estimation of local discretization errors, combined with the bisection method for the resolution of the threshold condition. Error bounds are derived for the algorithm based on continuous one-step methods for the delay-differential equations and arbitrary iteration process for the threshold conditions. Numerical examples are presented which illustrate the effectiveness of this algorithm.

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Informacje szczegółowe

Kategoria:
Publikacja w czasopiśmie
Typ:
artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS nr 279, strony 40 - 56,
ISSN: 0377-0427
Język:
angielski
Rok wydania:
2015
Opis bibliograficzny:
Bartoszewski Z., Jackiewicz Z., Kuang Y.: Numerical solution of threshold problems in epidemics and population dynamics// JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. -Vol. 279, (2015), s.40-56
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.cam.2014.10.020
Weryfikacja:
Politechnika Gdańska

wyświetlono 16 razy

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