Existence, Uniqueness and Stability of Strictly Positive Entire Solutions to a Fractional Keller‐Segel Model With Time‐Space Dependent Logistic Source

Mathematical Methods in the Applied Sciences 2026

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Authors: Weiyi Zhang, ZUHAN LIU, Ling Yuan Zhou
DOI: 10.1002/mma.70586
Cited by: 0
References: 33

Abstract

ABSTRACT This paper is devoted to the study of the asymptotic dynamics in the fractional parabolic‐elliptic Keller‐Segel system on with time‐space dependent logistic source. In [36], among others, we established a theory on the global existence, uniqueness, pointwise and uniform persistence of classical solutions to this fractional Keller‐Segel system. In this paper, we prove the existence, uniqueness, and stability of strictly positive entire solutions of this system. In summary, the results of our paper extend some of the results obtained earlier in [36].

Fields of Study & Subjects

Mathematical Biology Tumor Growth Nonlinear Partial Differential Equations Mathematical and Theoretical Epidemiology and Ecology Models

Publication details

Journal / source
Mathematical Methods in the Applied Sciences
Volume
49
Issue
10
Pages
10204–10225
Publication date
14 February 2026
Language
EN