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<p>This paper provides fine qualitative information about the solutions of a logistic equation involving a degradation term indefinitely large. It extends the well known phenomenon of blow up in the refuge to the case when the approximation of the birth rate to its maximum occurs asymptotically as the degradation rate grows indefinitely.</p>

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Resilience and blow-up of a species under the logistic equation with strong degradation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月17日

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  • J. López-Gómez,
  • V. Ramos,
  • C. A. Santos,
  • A. Suárez

摘要

This paper provides fine qualitative information about the solutions of a logistic equation involving a degradation term indefinitely large. It extends the well known phenomenon of blow up in the refuge to the case when the approximation of the birth rate to its maximum occurs asymptotically as the degradation rate grows indefinitely.