Numerical analysis of a model for the spread of HIV/AIDS

Mimmo Iannelli; Roberto Loro; Fabio A. Milner; Andrea Pugliese; Guglielmo Rabbiolo

doi:10.1137/0733043

Numerical analysis of a model for the spread of HIV/AIDS

Mimmo Iannelli, Roberto Loro, Fabio A. Milner, Andrea Pugliese, Guglielmo Rabbiolo

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

3 Scopus citations

Abstract

A model for the HIV/AIDS epidemic is described. Some regularity results are established and a numerical method for the approximation of the solution based on the finite difference method of characteristics is proposed. Optimal error estimates are demonstrated for this method and some simulations are presented to show the performance of the method.

Original language	English (US)
Pages (from-to)	864-882
Number of pages	19
Journal	SIAM Journal on Numerical Analysis
Volume	33
Issue number	3
DOIs	https://doi.org/10.1137/0733043
State	Published - Jun 1996
Externally published	Yes

Keywords

AIDS modeling
Age structure
Numerical method

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1137/0733043

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title = "Numerical analysis of a model for the spread of HIV/AIDS",

abstract = "A model for the HIV/AIDS epidemic is described. Some regularity results are established and a numerical method for the approximation of the solution based on the finite difference method of characteristics is proposed. Optimal error estimates are demonstrated for this method and some simulations are presented to show the performance of the method.",

keywords = "AIDS modeling, Age structure, Numerical method",

author = "Mimmo Iannelli and Roberto Loro and Milner, {Fabio A.} and Andrea Pugliese and Guglielmo Rabbiolo",

year = "1996",

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doi = "10.1137/0733043",

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AU - Loro, Roberto

AU - Milner, Fabio A.

AU - Pugliese, Andrea

AU - Rabbiolo, Guglielmo

PY - 1996/6

Y1 - 1996/6

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AB - A model for the HIV/AIDS epidemic is described. Some regularity results are established and a numerical method for the approximation of the solution based on the finite difference method of characteristics is proposed. Optimal error estimates are demonstrated for this method and some simulations are presented to show the performance of the method.

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KW - Age structure

KW - Numerical method

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Numerical analysis of a model for the spread of HIV/AIDS

Abstract

Keywords

ASJC Scopus subject areas

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