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<p>The non-linear system of differential equations is considered, which simulates fluctuations in the density of the populations migrating between several habitats. In the system under consideration, in addition to a&#xa0;homogeneous solution (when the density of the populations in all areas fluctuates synchronously), there are solutions called autowave corresponding to the cycles of migration of the populations. It is shown that the obtained autowave solutions are exponentially orbital stable and, from the point of view of biological characteristics, are more favorable for the species.</p>

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RELAXATION AUTOWAVES IN MATHEMATICAL MODELS OF ECOLOGY

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • S. D. Glyzin,
  • A. Yu. Kolesov,
  • N. Kh. Rozov

摘要

The non-linear system of differential equations is considered, which simulates fluctuations in the density of the populations migrating between several habitats. In the system under consideration, in addition to a homogeneous solution (when the density of the populations in all areas fluctuates synchronously), there are solutions called autowave corresponding to the cycles of migration of the populations. It is shown that the obtained autowave solutions are exponentially orbital stable and, from the point of view of biological characteristics, are more favorable for the species.