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Analysis of competition models in periodic medium

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  • Il’ichev, Vitaly G.

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.

Suggested Citation

  • Il’ichev, Vitaly G., 2008. "Analysis of competition models in periodic medium," Ecological Modelling, Elsevier, vol. 216(2), pages 188-196.
    • Handle: RePEc:eee:ecomod:v:216:y:2008:i:2:p:188-196
    DOI: 10.1016/j.ecolmodel.2008.03.007
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