Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4378062 | Ecological Modelling | 2008 | 9 Pages |
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
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Authors
Vitaly G. Il'ichev,