Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on \(\mathbb{R}^N\). II: Existence, uniqueness, and stability of strictly positive entire solutions

DOI10.1016/j.jmaa.2018.04.034zbMath1390.35379arXiv1801.05310OpenAlexW2963526603MaRDI QIDQ1748343

Wenxian Shen, Rachidi Bolaji Salako

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05310

zbMATH Keywords

stabilitycomparison principlelogistic sourceentire solutionsasymptotic spreadingparabolic-elliptic chemotaxis system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Entire solutions to PDEs (35B08)

Related Items (9)

Global boundedness and asymptotic behavior in an attraction-repulsion chemotaxis system with nonlocal terms ⋮ Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source ⋮ Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source ⋮ Keller-Segel chemotaxis models: a review ⋮ Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary, I. Asymptotic dynamics in fixed unbounded domain ⋮ When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? ⋮ Finite-time blow-up in a two-dimensional Keller-Segel system with an environmental dependent logistic source ⋮ Uniqueness and stability of coexistence states in two species models with/without chemotaxis on bounded heterogeneous environments ⋮ Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on \(\mathbb{R}^N\). III: Transition fronts

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