On a new dimension estimate of the global attractor for chemotaxis-growth systems
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Publication:935567
zbMath1160.37034MaRDI QIDQ935567
Etsushi Nakaguchi, Messoud A. Efendiev
Publication date: 11 August 2008
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ojm/1216151100
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17)
Related Items (12)
On stability of a class of second alpha-order fractal differential equations ⋮ A hyperbolic-elliptic-elliptic system of an attraction-repulsion chemotaxis model with nonlinear productions ⋮ Bifurcation of hexagonal patterns in a chemotaxis-diffusion-growth system ⋮ Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals ⋮ Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source ⋮ Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction ⋮ An attraction-repulsion chemotaxis system with nonlinear productions ⋮ Finite-time blowup in attraction-repulsion systems with nonlinear signal production ⋮ Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme ⋮ Pattern formation of a Keller-Segel model with the source term \(u^p(1 - u)\) ⋮ Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source ⋮ Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
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