The Discrete Dynamics of Monotonically Decomposable Maps |
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Authors: | H L Smith |
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Institution: | (1) Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA |
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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.
This paper is dedicated to Karl Hadeler on the occasion of his 70th Birthday
An erratum to this article can be found at |
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Keywords: | |
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