Existence of solutions to chemotaxis dynamics with logistic source

DOI10.3934/proc.2015.1125zbMath1354.37098OpenAlexW2331317826MaRDI QIDQ260976

Noriaki Yoshino, Tomomi Yokota

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.1125

zbMATH Keywords

weak solutionschemotaxisnonlinear \(m\)-accretive operators

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (10)

Blowup and global solutions in a chemotaxis-growth system ⋮ Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on \(\mathbb{R}^N\) ⋮ Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\) ⋮ Existence of traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source ⋮ Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\) ⋮ Global existence and asymptotic behavior of the fractional chemotaxis system with signal-dependent sensitivity ⋮ Global existence and asymptotic behavior of classical solutions to a fractional logistic Keller-Segel system ⋮ Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary ⋮ Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary, I. Asymptotic dynamics in fixed unbounded domain ⋮ Global classical solutions, stability of constant equilibria, and spreading speeds in attraction-repulsion chemotaxis systems with logistic source on \(\mathbb{R}^{N}\)

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• Nonlinear Differential Equations of Monotone Types in Banach Spaces

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