The discrete dynamics of monotonically decomposable maps

Hal Smith

doi:10.1007/s00285-006-0004-3

The discrete dynamics of monotonically decomposable maps

Hal Smith

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

42 Scopus citations

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 language	English (US)
Pages (from-to)	747-758
Number of pages	12
Journal	Journal Of Mathematical Biology
Volume	53
Issue number	4
DOIs	https://doi.org/10.1007/s00285-006-0004-3
State	Published - Oct 2006

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/s00285-006-0004-3

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The discrete dynamics of monotonically decomposable maps

Abstract

ASJC Scopus subject areas

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