What question did this study set out to answer?

Investigate how high degradation affects the solutions of a logistic equation and the blow-up phenomenon.

February 19, 2026Open Access

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

Puntos clave

Investigate how high degradation affects the solutions of a logistic equation and the blow-up phenomenon.
Analyzed qualitative solutions of a logistic equation with a degradation term
Explored the limits of birth rate approximations as degradation increases indefinitely
Identified conditions under which species populations exhibit blow-up behavior
Demonstrated an asymptotic approach of the birth rate to its maximum as degradation intensifies

Resumen

Abstract 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.

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Cite This Study

López-Gómez et al. (Tue,) studied this question.

synapsesocial.com/papers/6996a8efecb39a600b3f0445 https://doi.org/https://doi.org/10.1007/s00526-026-03254-z

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