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

J. Leo Amalraj; M. Maria Susai Manuel; Dumitru Baleanu; D. S. Dilip

doi:10.1063/5.0106829

AIP Advances (Jan 2023)

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

J. Leo Amalraj,
M. Maria Susai Manuel,
Dumitru Baleanu,
D. S. Dilip

Affiliations

J. Leo Amalraj: Department of Mathematics, R.M.K. College of Engineering and Technology, Thiruvallur District,Tamil Nadu, India
M. Maria Susai Manuel: Department of Mathematics, RMD Engineering College, Thiruvallur District, Tamil Nadu, India
Dumitru Baleanu: Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey; Lebanese American University, Beirut, Lebanon; and Institute of Space Sciences, Magurele-Bucharest, Romania
D. S. Dilip: Department of Mathematics, St.John’s College, Anchal, Kollam District, Kerala, India

DOI: https://doi.org/10.1063/5.0106829
Journal volume & issue: Vol. 13, no. 1
pp. 015116 – 015116-7

Abstract

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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)].

Published in AIP Advances

ISSN: 2158-3226 (Online)
Publisher: AIP Publishing LLC
Country of publisher: United States
LCC subjects: Science: Physics
Website: http://aipadvances.aip.org/

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