Some global results on quasipolynomial discrete systems

The quasipolynomial (QP) generalization of Lotka-Volterra discrete-time systems is considered. Use of the QP formalism is made for the investigation of various global dynamical properties of QP discrete-time systems including permanence, attractivity, dissipativity and chaos. The results obtained ge...

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Veröffentlicht in:	arXiv.org 2019-10
Hauptverfasser:	Hernández-Bermejo, Benito, Brenig, Léon
Format:	Artikel
Sprache:	eng
Schlagworte:	Discrete systems Discrete time systems Mathematics - Dynamical Systems Mathematics - Mathematical Physics Physics - Applied Physics Physics - Biological Physics Physics - Chaotic Dynamics Physics - Mathematical Physics
Online-Zugang:	Volltext
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Zusammenfassung:	The quasipolynomial (QP) generalization of Lotka-Volterra discrete-time systems is considered. Use of the QP formalism is made for the investigation of various global dynamical properties of QP discrete-time systems including permanence, attractivity, dissipativity and chaos. The results obtained generalize previously known criteria for discrete Lotka-Volterra models.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1910.01513