Asymptotic profiles for positive solutions of diffusive logistic equations

In this paper, we study the asymptotic profiles of positive solutions for diffusive logistic equations. The aim is to study the sharp effect of linear growth and nonlinear function. Both the classical reaction-diffusion equation and nonlocal dispersal equation are investigated. Our main results reve...

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Bibliographic Details
Published in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2024-02, Vol.154 (1), p.273-284
Main Authors: Sun, Jian-Wen, Fang, Peng-Fei
Format: Article
Language:English
Subjects:
Asymptotic properties
Eigenvalues
Investigations
Mathematical analysis
Reaction-diffusion equations
Citations: Items that this one cites
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Summary:In this paper, we study the asymptotic profiles of positive solutions for diffusive logistic equations. The aim is to study the sharp effect of linear growth and nonlinear function. Both the classical reaction-diffusion equation and nonlocal dispersal equation are investigated. Our main results reveal that the linear and nonlinear parts of reaction term play quite different roles in the study of positive solutions.
ISSN:0308-2105
1473-7124
DOI:10.1017/prm.2023.11