Pattern formation in a delay equation with diffusion

DOI10.1080/00207728008967054zbMath0442.34060OpenAlexW2013620265MaRDI QIDQ3884472

R. K. Dodd, Hedley C. Morris

Publication date: 1980

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728008967054

zbMATH Keywords

dynamical equationHutchinson's equationpopulation equationnon-linear delay effectPoincare'-Lindstedt technique

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) General theory of functional-differential equations (34K05)

Cites Work

• On the nonlinear differential-difference equation \(f'(x)=-\alpha f(x- 1)(1+f(x))\)
• Models for cell differentiation and generation of polarity in diffusion- governed morphogenetic fields
• On a population model
• Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations
• Integral averaging and bifurcation
• A Perturbative Approach to Periodic Solutions of Delay-differential Equations
• Hopf Bifurcation and Stability of Periodic Solutions of Differential-difference and Integro-differential Equations

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