Global stability, periodicity, and bifurcation analysis of a difference equation-Reference-Cited by-同舟云学术

Global stability, periodicity, and bifurcation analysis of a difference equation

Published:2023-01-01 Issue:1 Volume:13 Page:015116
ISSN:2158-3226
Container-title:AIP Advances
language:en
Short-container-title:AIP Advances

Author:

Amalraj J. Leo¹^ORCID,Manuel M. Maria Susai²^ORCID,Baleanu Dumitru³^ORCID,Dilip D. S.⁴^ORCID

Affiliation:

1. Department of Mathematics, R.M.K. College of Engineering and Technology, Thiruvallur District,Tamil Nadu, India

2. Department of Mathematics, RMD Engineering College, Thiruvallur District, Tamil Nadu, India

3. Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey; Lebanese American University, Beirut, Lebanon; and Institute of Space Sciences, Magurele-Bucharest, Romania

4. Department of Mathematics, St.John’s College, Anchal, Kollam District, Kerala, India

Abstract

This research aims to discuss the existence, global stability, periodicity, and bifurcation analysis of a modified version of the ecological model proposed by Tilman and Wedlin [Nature 353, 653–655 (1991)].

Publisher

AIP Publishing

Subject

General Physics and Astronomy

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0106829

Reference11 articles.

1. Asymptotic and boundedness behaviour of a rational difference equation

2. On the difference equation xn+1=α+βxn−1e−xn

3. Difference Equations and Inequalities

4. The Generalized Fractional Proportional Delta Operator and New Generalized Transforms in Discrete Fractional Calculus

5. Analytic and numerical solutions of discrete Bagley–Torvik equation

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