STATE-DEPENDENT DELAYS ASSOCIATED TO THRESHOLD PHENOMENA IN STRUCTURED POPULATION DYNAMICS-Reference-Cited by-同舟云学术

STATE-DEPENDENT DELAYS ASSOCIATED TO THRESHOLD PHENOMENA IN STRUCTURED POPULATION DYNAMICS

Published:2007-06 Issue:06 Volume:17 Page:877-900
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

HBID MY LHASSAN¹,SÁNCHEZ EVA²,BRAVO DE LA PARRA RAFAEL³

Affiliation:

1. S.P.D.S.L. Department of Mathematics, Faculty of Sciences, University Cadi Ayyad, B.P. S15, Marrakesh, Morocco

2. Depto. Matemáticas, E.T.S.I. Industriales, c. José Gutiérrez Abascal, 2, 28006 Madrid, Spain

3. Depto. Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares (Madrid), Spain

Abstract

The aim of this paper is to put in evidence the onset of state-dependent delays in threshold models for structured population dynamics. A unified approach to these models is provided, based on solving the corresponding balance law (hyperbolic P.D.E.) along the characteristic lines and showing the common underlying ideas. Size and age-structured models in different fields are presented: insect populations, cell proliferation and epidemics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202507002145

Reference34 articles.

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