Activator-inhibitor system with delay and pattern formation

DOI10.1016/j.mcm.2004.05.010zbMath1080.92013OpenAlexW2046671196MaRDI QIDQ815306

Monika Joanna Piotrowska

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.05.010

zbMATH Keywords

stabilitypattern formationreaction-diffusion equationmorphogenesisTuring instabilityequilibrium state

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15)

Related Items (7)

Rich dynamics in a spatial predator-prey model with delay ⋮ The nature of Hopf bifurcation for the Gompertz model with delays ⋮ Study on Turing Patterns of Gray–Scott Model via Amplitude Equation ⋮ Delay-driven pattern formation in a reaction–diffusion predator–prey model incorporating a prey refuge ⋮ Non-Fickian delay reaction-diffusion equations: theoretical and numerical study ⋮ Analysis of the Hopf bifurcation for the family of angiogenesis models ⋮ A three level finite element approximation of a pattern formation model in developmental biology

Uses Software

• Chemotaxis

Cites Work

• Delay differential equations: with applications in population dynamics
• Geometric theory of semilinear parabolic equations
• Discrete delay, distributed delay and stability switches
• Theory of functional differential equations. 2nd ed
• The nonnegativity of solutions to delay differential equations
• The chemical basis of morphogenesis
• THE LANGEVIN OR KRAMERS APPROACH TO BIOLOGICAL MODELING
• Turing bifurcation in nonlinear competition models with delay
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