A simple two species ecological model exhibiting chaotic behaviour

Beckers, Jean-Marie; Nihoul, Jacques

doi:10.1016/0895-7177(95)00019-X

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Article (Scientific journals)

A simple two species ecological model exhibiting chaotic behaviour

Beckers, Jean-Marie; Nihoul, Jacques

1995 • In Mathematical and Computer Modelling, 21 (6), p. 3-11

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https://hdl.handle.net/2268/9273

DOI
10.1016/0895-7177(95)00019-X

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Keywords :

Parametric resonance; Deterministic chaos; Lotka-Volterra system

Abstract :

[en] The classical prey-predator model of Lotka-Volterra is revisited. Instead of constant growth rates, a modulated growth rate for the prey is used. It is shown that in this very simple case, the resulting system's evolution may become nonlinearly resonant. This shows that complex behaviour is not necessarily related to complex systems.

Disciplines :

Computer science
Mathematics

Author, co-author :

Beckers, Jean-Marie ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Océanographie physique

Nihoul, Jacques ; Université de Liège - ULiège > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences)

Language :

English

Title :

A simple two species ecological model exhibiting chaotic behaviour

Publication date :

1995

Journal title :

Mathematical and Computer Modelling

ISSN :

0895-7177

Publisher :

Pergamon Press - An Imprint of Elsevier Science, Oxford, United Kingdom

Volume :

Issue :

Pages :

3-11

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 19 March 2009

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