Rapidly converging numerical algorithms for models of population dynamics

Fabio A. Milner; Guglielno Rabbiolo

doi:10.1007/BF00173266

Rapidly converging numerical algorithms for models of population dynamics

Fabio A. Milner, Guglielno Rabbiolo

Research output: Contribution to journal › Article › peer-review

43 Scopus citations

Abstract

We propose algorithms for the approximation of the age distributions of populations modeled by the McKendrick-von Foerster and the Gurtin-MacCamy systems both in one- and two-sex versions. For the one-sex model methods of second and fourth order are proposed. For the two-sex model a second order method is described. In each case the convergence is demonstrated. Several numerical examples are given.

Original language	English (US)
Pages (from-to)	733-753
Number of pages	21
Journal	Journal Of Mathematical Biology
Volume	30
Issue number	7
DOIs	https://doi.org/10.1007/BF00173266
State	Published - Aug 1992
Externally published	Yes

Keywords

Finite difference methods
Numerical methods
Population dynamics

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/BF00173266

Cite this

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title = "Rapidly converging numerical algorithms for models of population dynamics",

abstract = "We propose algorithms for the approximation of the age distributions of populations modeled by the McKendrick-von Foerster and the Gurtin-MacCamy systems both in one- and two-sex versions. For the one-sex model methods of second and fourth order are proposed. For the two-sex model a second order method is described. In each case the convergence is demonstrated. Several numerical examples are given.",

keywords = "Finite difference methods, Numerical methods, Population dynamics",

author = "Milner, {Fabio A.} and Guglielno Rabbiolo",

year = "1992",

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AU - Milner, Fabio A.

AU - Rabbiolo, Guglielno

PY - 1992/8

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N2 - We propose algorithms for the approximation of the age distributions of populations modeled by the McKendrick-von Foerster and the Gurtin-MacCamy systems both in one- and two-sex versions. For the one-sex model methods of second and fourth order are proposed. For the two-sex model a second order method is described. In each case the convergence is demonstrated. Several numerical examples are given.

AB - We propose algorithms for the approximation of the age distributions of populations modeled by the McKendrick-von Foerster and the Gurtin-MacCamy systems both in one- and two-sex versions. For the one-sex model methods of second and fourth order are proposed. For the two-sex model a second order method is described. In each case the convergence is demonstrated. Several numerical examples are given.

KW - Finite difference methods

KW - Numerical methods

KW - Population dynamics

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EP - 753

JO - Journal Of Mathematical Biology

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ER -

Rapidly converging numerical algorithms for models of population dynamics

Abstract

Keywords

ASJC Scopus subject areas

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