Universität zu Köln

Groll, Fanny ORCID: 0000-0003-1230-5891, Arndt, Hartmut ORCID: 0000-0003-2811-3595 and Altland, Alexander ORCID: 0000-0002-2991-4805 (2017). Chaotic attractor in two-prey one-predator system originates from interplay of limit cycles. Theor. Ecol., 10 (2). S. 147 - 155. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1874-1746

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Abstract

We investigate the appearance of chaos in a microbial 3-species model motivated by a potentially chaotic real world system (as characterized by positive Lyapunov exponents (Becks et al., Nature 435, 2005). This is the first quantitative model that simulates characteristic population dynamics in the system. A striking feature of the experiment was three consecutive regimes of limit cycles, chaotic dynamics and a fixed point. Our model reproduces this pattern. Numerical simulations of the system reveal the presence of a chaotic attractor in the intermediate parameter window between two regimes of periodic coexistence (stable limit cycles). In particular, this intermediate structure can be explained by competition between the two distinct periodic dynamics. It provides the basis for stable coexistence of all three species: environmental perturbations may result in huge fluctuations in species abundances, however, the system at large tolerates those perturbations in the sense that the population abundances quickly fall back onto the chaotic attractor manifold and the system remains. This mechanism explains how chaos helps the system to persist and stabilize against migration. In discrete populations, fluctuations can push the system towards extinction of one or more species. The chaotic attractor protects the system and extinction times scale exponentially with system size in the same way as with limit cycles or in a stable situation.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Groll, Fanny UNSPECIFIED orcid.org/0000-0003-1230-5891 UNSPECIFIED Arndt, Hartmut UNSPECIFIED orcid.org/0000-0003-2811-3595 UNSPECIFIED Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-230385
DOI:	10.1007/s12080-016-0317-9
Journal or Publication Title:	Theor. Ecol.
Volume:	10
Number:	2
Page Range:	S. 147 - 155
Date:	2017
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1874-1746
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COUPLED CHEMICAL-REACTIONS; POPULATION-DYNAMICS; PREY SYSTEM; FOOD-CHAIN; MODEL; BIFURCATION; COMPETITION; COMMUNITIES; COEXISTENCE; CHEMOSTAT Multiple languages Ecology Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23038