Some global results on quasipolynomial discrete systems
Benito Hern\'andez-Bermejo, L\'eon Brenig
TL;DR
This paper investigates the global dynamical properties of quasipolynomial discrete systems, extending known criteria for Lotka-Volterra models to a broader class with implications for permanence, attractivity, dissipativity, and chaos.
Contribution
It introduces a quasipolynomial formalism to analyze global properties of discrete systems, generalizing existing criteria for Lotka-Volterra models.
Findings
Established criteria for permanence and attractivity in QP systems
Extended dissipativity and chaos conditions to quasipolynomial models
Unified analysis framework for global dynamics of discrete systems
Abstract
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.
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