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Numerical continuation of equilibria of physiologically structured population models. I

Authors :
Ben Sommeijer
Odo Diekmann
Margreet Nool
Kirkilionis
A. de Roos
Bert Lisser
Theoretical Ecology (IBED, FNWI)
Source :
Mathematical models and methods in applied science, 11(6), 1101-1127. World Scientific Publishing Co. Pte. Ltd., Mathematical Models and Methods in Applied Sciences, 11(6), 1101-1127
Publication Year :
2001
Publisher :
World Scientific Publishing Co. Pte. Ltd., 2001.

Abstract

The paper introduces a new numerical method for continuation of equilibria of models describing physiologically structured populations. To describe such populations, we use integral equations coupled with each other via interaction (or feedback) variables. Additionally we allow interaction with unstructured populations, described by ordinary differential equations. The interaction variables are chosen such that if they are given functions of time, each of the resulting decoupled equations becomes linear. Our numerical procedure to approximate an equilibrium which will use this special form of the underlying equations extensively. We also establish a method for local stability analysis of equilibria in dependence on parameters.

Details

Language :
English
ISSN :
17934060 and 02182025
Volume :
11
Issue :
6
Database :
OpenAIRE
Journal :
Mathematical models & methods in applied sciences
Accession number :
edsair.doi.dedup.....79c4807ff5e44ee615bb83d8f1c778c0