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Erschienen in:
Dissipative Dynamical Systems Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

2. Monotone Dynamics

verfasst von : Xiao-Qiang Zhao

Erschienen in: Dynamical Systems in Population Biology

Verlag: Springer International Publishing

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Abstract

As we illustrated in the Preface, some population models can generate continuous- or discrete-time dynamical systems with monotonicity: Ordered initial states lead to ordered subsequent states. This chapter is aimed at monotone dynamics. We are primarily interested in some global results that may be effectively applied to both discrete-time and periodic biological systems. In Section 2.1 we prove the existence and global attractivity of an order interval defined by two fixed points, and a theorem on fixed points and connecting orbits for continuous and monotone maps on an ordered Banach space E.

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Vorheriges Kapitel Dissipative Dynamical Systems
Nächstes Kapitel Nonautonomous Semiflows
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Metadaten
Titel
Monotone Dynamics
verfasst von
Xiao-Qiang Zhao
Copyright-Jahr
2017
Buch
Dynamical Systems in Population Biology

Print ISBN: 978-3-319-56432-6

Electronic ISBN: 978-3-319-56433-3

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-56433-3_2

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