Analysis of competition models in periodic medium

Autor: Vitaly G. Il’ichev
Rok vydání: 2008
Předmět:
Zdroj: Ecological Modelling. 216:188-196
ISSN: 0304-3800
DOI: 10.1016/j.ecolmodel.2008.03.007
Popis: 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.
Databáze: OpenAIRE