Global dynamics of two systems of exponential difference equations by Lyapunov function
type: Item
instance of: scholarly article
title: Global dynamics of two systems of exponential difference equations by Lyapunov function
zbMATH Open document ID: 1417.39008
DOI: 10.1186/1687-1847-2014-297
author: A. Q. Khan
published in: Advances in Difference Equations
publication date: 2018-11-01T00:00:00Z
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 40A05
zbMATH DE Number: 6970579
zbMATH Keywords: difference equations
zbMATH Keywords: boundedness
zbMATH Keywords: persistence
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: Lyapunov function
zbMATH Keywords: rate of convergence
Wikidata QID: Q59319756
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2014-297
OpenAlex ID: W2116602619
cites work: On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\).
cites work: On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\)
cites work: On the system of two difference equations of exponential form: \(x_{n+1}=a+bx_{n-1}e^{-y_n}\), \(y_{n+1}=c+dy_{n-1}e^{-x_n}\).
cites work: Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form
cites work: On the dynamics of two exponential type systems of difference equations
cites work: Behavior of an exponential system of difference equations
cites work: Dynamics of a fourth-order system of rational difference equations
cites work: Dynamics of second order rational difference equations. With open problems and conjectures
cites work: Solutions of rational difference systems of order two
cites work: Q4920944
cites work: Q5400595
cites work: On the solutions of some nonlinear systems of difference equations
cites work: Qualitative behavior of a host-pathogen model
cites work: Global dynamics of some systems of higher-order rational difference equations
cites work: Asymptotic behavior of a Nicholson-Bailey model
cites work: Q4807624
cites work: More on Poincaré’s and Perron’s Theorems for Difference Equations∗
cites work: Global stability for a class of discrete SIR epidemic models
cites work: Q3137926
description: scientific article; zbMATH DE number 6970579