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Allee effect induced diversity in evolutionary dynamics.

Authors :
Dhiman, Aman
Poria, Swarup
Source :
Chaos, Solitons & Fractals. Mar2018, Vol. 108, p32-38. 7p.
Publication Year :
2018

Abstract

Cyclic dominance is observed in predator-prey interactions, the mating strategy of side-blotched lizards, the overgrowth of marine sessile organisms and competition in microbial populations and many other natural systems. Rock-Paper-Scissor(RPS) is a popular game which demonstrates cyclic dominance. In this paper, we investigate replicator dynamics of RPS-game under logistic growth functions with Allee effect. The results obtained are compared with the case of no Allee effect. Due to Allee effect the number of stable attractors increases in a certain parameter region. The obtained result can be interpreted biologically that diversity of an ecological system increases due to Allee effect. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09600779
Volume :
108
Database :
Academic Search Index
Journal :
Chaos, Solitons & Fractals
Publication Type :
Periodical
Accession number :
128277777
Full Text :
https://doi.org/10.1016/j.chaos.2018.01.026