Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-23T16:18:46.290Z Has data issue: false hasContentIssue false
  • English
  • Français

CANARDS IN ADVECTION–REACTION–DIFFUSION SYSTEMS IN ONE SPATIAL DIMENSION

Part of: Physiological, cellular and medical topics Asymptotic theory General theory in ordinary differential equations Qualitative theory Representations of solutions

Published online by Cambridge University Press:  16 June 2015

KRISTEN HARLEY
KRISTEN HARLEY*
Affiliation:
Mathematical Sciences School, Queensland University of Technology, Brisbane, Australia email kristen.e.harley@gmail.com
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

advection–reaction–diffusion systemstravelling wave solutionsgeometric singular perturbation theorycanards

MSC classification

Primary: 34E17: Canard solutions
Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 34C37: Homoclinic and heteroclinic solutions 34E15: Singular perturbations, general theory 35C07: Traveling wave solutions 92C17: Cell movement (chemotaxis, etc.)
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 342 - 343
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Feltham, D. L. and Chaplain, M. A. J., ‘Travelling waves in a model of species migration’, Appl. Math. Lett. 13(7) (2000), 67–73.Google Scholar
Perumpanani, A. J., Sherratt, J. A., Norbury, J. and Byrne, H. M., ‘A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion’, Physica D 126(3–4) (1999), 145–159.Google Scholar
Pettet, G. J., McElwain, D. L. S. and Norbury, J., ‘Lotka–Volterra equations with chemotaxis: walls, barriers and travelling waves’, IMA J. Math. Appl. Med. Biol. 17 (2000), 395–413.Google ScholarPubMed