Boundedness and blow up for the general activator-inhibitor model
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Publication:1898896
DOI10.1007/BF02012623zbMath0834.35069MaRDI QIDQ1898896
Shaohua Chen, Yuchun Qun, Mingde Li
Publication date: 16 November 1995
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Population dynamics (general) (92D25)
Related Items (13)
Finite-time blowup of solutions to some activator-inhibitor systems ⋮ The dynamics of a kinetic activator -- inhibitor system ⋮ Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system ⋮ Some results on the Gierer-Meinhardt model with critical exponent \(p - 1 = r\) ⋮ Uniformly bounded weak and classical solutions to a singular parabolic system and applications ⋮ Global existence and blowup solutions for the Gierer-Meinhardt system ⋮ Dynamical system for animal coat pattern model ⋮ Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain ⋮ Large-time behaviour and blow up of solutions for Gierer-Meinhardt systems ⋮ Global existence for a singular Gierer-Meinhardt system ⋮ Global solutions for an \(m\)-component system of activator-inhibitor type ⋮ Blow-up of positive solutions to a singular Gierer-Meinhardt system ⋮ Remarks on pattern formation in a model for hair follicle spacing
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