Existence of solutions to chemotaxis dynamics with logistic source
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Publication:260976
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
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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