Paper Info
Title
Generalized R-Lambert Function In The Analysis Of Fixed Points And Bifurcations Of Homographic 2-Ricker Maps
Abstract
This paper aims to study the nonlinear dynamics and bifurcation structures of a new mathematical model of the gamma-Ricker population model with a Holling type II per-capita birth function, where the Allee effect parameter is gamma = 2. A generalized r-Lambert function is defined on the 3D parameters space to determine the existence and variation of the number of nonzero fixed points of the homographic 2-Ricker maps considered. The singularity points of the generalized r-Lambert function are identified with the cusp points on a fold bifurcation of the homographic 2-Ricker maps. In this approach, the application of the transcendental generalized r-Lambert function is demonstrated based on the analysis of local and global bifurcation structures of this three-parameter family of homographic maps. Some numerical studies are included to illustrate the theoretical results.
Year
DOI
Venue
2021
10.1142/S0218127421300330
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
gamma-Ricker population model, generalized r-Lambert function, fixed point, fold and flip bifurcations, cusp point
Journal
31
Issue
ISSN
Citations 
11
0218-1274
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
J. Leonel Rocha145.33
Abdel-Kaddous Taha233.33