Analysis of competition models in periodic medium

Il’ichev, Vitaly G.

Ecological Modelling, 2008, vol. 216, issue 2, 188-196

Abstract: We propose special models (the so-called D-systems) with periodic delta-functions being used as the growth velocities of the populations. This allows to build, in a practically explicit form, corresponding Poincare mapping and to reveal a series of “paradoxical” phenomena and selection criteria in the dynamics of the competitors. For the analysis of non-autonomous models, new general principle of inheritance of a series of local properties by the global Poincare shift mapping is worked up. Specifically, key heritable properties are determined for non-autonomous competition models. The selection criterion for competitive selection, based on the concept of the universal allowance constant, is derived in this work.

Keywords: Competition; Periodic medium; Delta-function; Heritable properties; Paradoxes; Selection and co-existence criteria (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:216:y:2008:i:2:p:188-196

DOI: 10.1016/j.ecolmodel.2008.03.007

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