Structured population dynamics

Glenn F. Webb

Banach Center Publications (2003)

  • Volume: 63, Issue: 1, page 177-186
  • ISSN: 0137-6934

Abstract

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The objective of these lectures is to apply the theory of linear and nonlinear semigroups of operators to models of structured populations dynamics. The mathematical models of structured populations are typically partial differential equations with variables corresponding to such properties of individual as age, size, maturity, proliferative state, quiescent state, phenotype expression, or other physical properties. The main goal is to connect behavior at the individual level to behavior at the population level. Theoretical results from semigroup theory are applied to analyze such population behaviors as extinction, growth, stabilization, oscillation, and chaos.

How to cite

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Glenn F. Webb. "Structured population dynamics." Banach Center Publications 63.1 (2003): 177-186. <http://eudml.org/doc/282476>.

@article{GlennF2003,
abstract = {The objective of these lectures is to apply the theory of linear and nonlinear semigroups of operators to models of structured populations dynamics. The mathematical models of structured populations are typically partial differential equations with variables corresponding to such properties of individual as age, size, maturity, proliferative state, quiescent state, phenotype expression, or other physical properties. The main goal is to connect behavior at the individual level to behavior at the population level. Theoretical results from semigroup theory are applied to analyze such population behaviors as extinction, growth, stabilization, oscillation, and chaos.},
author = {Glenn F. Webb},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {177-186},
title = {Structured population dynamics},
url = {http://eudml.org/doc/282476},
volume = {63},
year = {2003},
}

TY - JOUR
AU - Glenn F. Webb
TI - Structured population dynamics
JO - Banach Center Publications
PY - 2003
VL - 63
IS - 1
SP - 177
EP - 186
AB - The objective of these lectures is to apply the theory of linear and nonlinear semigroups of operators to models of structured populations dynamics. The mathematical models of structured populations are typically partial differential equations with variables corresponding to such properties of individual as age, size, maturity, proliferative state, quiescent state, phenotype expression, or other physical properties. The main goal is to connect behavior at the individual level to behavior at the population level. Theoretical results from semigroup theory are applied to analyze such population behaviors as extinction, growth, stabilization, oscillation, and chaos.
LA - eng
UR - http://eudml.org/doc/282476
ER -

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