Journal
CHAOS SOLITONS & FRACTALS
Volume 49, Issue -, Pages 1-6Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2013.01.010
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In this paper, linear stability analysis is applied to an exponential discrete Lotka-Volterra system, which describes the competition between two identical species. Conditions for the Turing instability are obtained and the emergence of spiral patterns is demonstrated by means of numerical simulations in the vicinity of the bifurcation point. Moreover, the impact of crucial system parameters on the stability and coherence of spiral patterns is illustrated on several examples. (C) 2013 Elsevier Ltd. All rights reserved.
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