Free Access
Issue
Math. Model. Nat. Phenom.
Volume 8, Number 3, 2013
Front Propagation
Page(s) 33 - 41
DOI https://doi.org/10.1051/mmnp/20138304
Published online 12 June 2013
  1. M. Alfaro, J. Coville. Rapid traveling waves in the nonlocal Fisher equation connect two unstable states. Appl. Math. Lett., 25:2095–2099, 2012. [Google Scholar]
  2. N. Apreutesei, N. Bessonov, V. Volpert, V. Vougalter. Spatial structures and generalized travelling waves for an integro-differential equation. Disc. Cont. Dyn. Syst. B, 13(3):537–557, 2010. [Google Scholar]
  3. H. Berestycki, G. Nadin, B. Perthame, L. Ryzhik. The non-local Fisher-KPP equation: traveling waves and steady states. Nonlinearity, 22(12):2813–2844, 2009. [CrossRef] [Google Scholar]
  4. N. Britton. Spatial structures and periodic traveling waves in an integro-differential reaction-diffusion population model. SIAM J. Appl. Math., 50(6):1663–1688, 1990. [CrossRef] [Google Scholar]
  5. A. Doelman, B. Sandstede, A. Scheel, G. Schneider. The dynamics of modulated wave trains. Mem. Amer. Math. Soc., 199(934), 2009. [Google Scholar]
  6. J. Fang, X-Q. Zhao. Monotone wavefronts of the nonlocal Fisher-KPP equation. Nonlinearity, 24(11):3043–3054, 2011. [CrossRef] [Google Scholar]
  7. J-É Furter, M. Grinfeld. Local vs. nonlocal interactions in population dynamics. J. Math. Biol., 27(1):65–80, 1989. [CrossRef] [Google Scholar]
  8. S. Genieys, V. Volpert, P. Auger. Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Math. Modelling Nat. Phenom., 1:65–82, 2006. [Google Scholar]
  9. A. Gomez, S. Trofimchuk. Monotone traveling wavefronts of the KPP-Fisher delayed equation. J. Diff. Eq., 250(4):1767–1787, 2011. [CrossRef] [Google Scholar]
  10. S. Gourley. Traveling front solutions of a nonlocal Fisher equation. J. Math. Biol., 41(3):272–284, 2000. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  11. M.K. Kwong, C. Ou. Existence and nonexistence of monotone traveling waves for the delayed Fisher equation. J. Diff. Eq., 249(3):728–745, 2010. [CrossRef] [Google Scholar]
  12. G. Nadin, B. Perthame, M. Tang. Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. C. R. Math. Acad. Sci. Paris, 349(9-10):553–557, 2011. [CrossRef] [MathSciNet] [Google Scholar]
  13. A. Turing. The chemical basis of morphogenesis. Phil. Trans. Royal Soc. London. Serie B, Biol. Sc., 237(641):37–72, 1952. [Google Scholar]

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