A mathematical characterization for patterns of a Keller-Segel model with a cubic source term

DOI10.1155/2013/934745zbMath1274.92011OpenAlexW1999101506WikidataQ58918904 ScholiaQ58918904MaRDI QIDQ1953188

Shengmao Fu, Ji Liu

Publication date: 7 June 2013

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/934745

Mathematics Subject Classification ID

Cell biology (92C37) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Pattern formation for a nonlinear diffusion chemotaxis model with logistic source ⋮ Nonlinear instability for a volume-filling chemotaxis model with logistic growth ⋮ A new analysis method for chemotaxis-induced instability in multispecies host-parasitoid systems

Cites Work

• Unnamed Item
• Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
• Spatio-temporal chaos in a chemotaxis model
• Bifurcation of hexagonal patterns in a chemotaxis-diffusion-growth system
• Initiation of slime mold aggregation viewed as an instability
• Global existence and convergence of solutions to a cross-diffusion cubic predator-prey system with stage structure for the prey
• Geometric theory of semilinear parabolic equations
• An application of the invariance principle to reaction diffusion equations
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Spatial pattern formation in a chemotaxis-diffusion-growth model
• From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
• Pattern formation. I: The Keller-Segel model
• One and three limit cycles in a cubic predator–prey system

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