Global Dynamics of Generalized Logistic Equations

Abstract: We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population. The aim of the paper is to remove quite restrictive geometric and smoothness conditions on the refuge used in the existing literature. The key is a new simplified construction of a supersolution that does not make use of any regularity condition of the refuge. At the same time we also simplify other arguments commonly used in the literature.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Global Dynamics of Generalized Logistic Equations ; volume:18 ; number:2 ; year:2018 ; pages:217-236 ; extent:20
Advanced nonlinear studies ; 18, Heft 2 (2018), 217-236 (gesamt 20)

Creator
Daners, Daniel
López-Gómez, Julián

DOI
10.1515/ans-2018-0008
URN
urn:nbn:de:101:1-2405031617304.327569666347
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:55 AM CEST

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Associated

  • Daners, Daniel
  • López-Gómez, Julián

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