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
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)].