On a second-order rational difference equation and a rational system
Gabriel Lugo, Frank J. Palladino
TL;DR
This paper thoroughly analyzes the dynamics of a specific second-order rational difference equation and examines the boundedness of a related rational system in the plane.
Contribution
It provides a complete qualitative analysis of the second-order rational difference equation and characterizes the boundedness of the associated rational system.
Findings
Detailed behavior classification of the difference equation
Boundedness conditions for the rational system
Insights into stability and long-term dynamics
Abstract
We give a complete description of the qualitative behavior of the second-order rational difference equation #166. We also establish the boundedness character for the rational system in the plane #(8,30).
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Advanced Differential Equations and Dynamical Systems · Nonlinear Differential Equations Analysis