The discrete dynamics of monotonically decomposable maps

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

We extend results of Gouzé and Hadeler (in Nonlinear World 1:23-34, 1994) concerning the dynamics generated by a map on an ordered metric space that can be decomposed into increasing and decreasing parts. Our main results provide sufficient conditions for the existence of a globally asymptotically stable fixed point for the map. Applications to discrete-time, stage-structured population models are given.

Original languageEnglish (US)
Pages (from-to)747-758
Number of pages12
JournalJournal of Mathematical Biology
Volume53
Issue number4
DOIs
StatePublished - Oct 2006

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Discrete Dynamics
Decomposable
Stage-structured
Structured Populations
Globally Asymptotically Stable
Population Model
Population
Metric space
Discrete-time
Fixed point
Sufficient Conditions

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

Cite this

The discrete dynamics of monotonically decomposable maps. / Smith, Hal.

In: Journal of Mathematical Biology, Vol. 53, No. 4, 10.2006, p. 747-758.

Research output: Contribution to journalArticle

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