Free Access
Math. Model. Nat. Phenom.
Volume 5, Number 5, 2010
Reaction-diffusion waves
Page(s) 80 - 101
Published online 27 July 2010
  1. S. Ai. Traveling wave fronts for generalized Fisher equations with spatio-temporal delays. J. Differential Equations, 232 (2007), 104–133. [CrossRef] [MathSciNet] [Google Scholar]
  2. A. Apreutesei, A. Ducrot, V. Volpert. Competition of species with intra-specific competition. Math. Model. Nat. Phenom., 3 (2008), 1–27. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  3. N. Apreutesei, A. Ducrot, V. Volpert. Travelling waves for integro-differential equations in population dynamics. Discrete Cont. Dyn. Syst. Ser. B, 11 (2009), 541–561. [CrossRef] [MathSciNet] [Google Scholar]
  4. N.F. Britton. Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model. SIAM J. Appl. Math., 6 (1990), 1663–1688. [CrossRef] [Google Scholar]
  5. A. Ducrot, Travelling wave solutions for a scalar age-structured equation, Discrete Contin. Dyn. Syst. Ser. B , 7 (2007), 251–273. [CrossRef] [MathSciNet] [Google Scholar]
  6. P. C. Fife, J. B. McLeod. The approach of solutions of nonlinear diffusion equations to travelling wave solutions. Bull. Amer. Math. Soc., 81 (1975), 1076–1078. [CrossRef] [MathSciNet] [Google Scholar]
  7. A. Friedman. Partial differential equations of parabolic type. Prentice-Hall, Englewood Cliffs, 1964. [Google Scholar]
  8. S. Génieys, V. Volpert, P. Auger. Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Math. Model. Nat. Phenom., 1 (2006), 63–80. [CrossRef] [EDP Sciences] [Google Scholar]
  9. S. A. Gourley. Travelling front solutions of a nonlocal Fisher equation. J. Math. Biol. 41 (2000), 272–284. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  10. Ya. I. Kanel. The behavior of solutions of the Cauchy problem when the time tends to infinity, in the case of quasilinear equations arising in the theory of combustion. Soviet Math. Dokl. 1 (1960), 533–536. [Google Scholar]
  11. R. Lefever, O. Lejeune. On the origin of tiger bush. Bul. Math. Biol., 59 (1997), No. 2, 263–294. [CrossRef] [Google Scholar]
  12. A.I. Volpert, V.A. Volpert. Applications of the rotation theory of vector fields to the study of wave solutions of parabolic equations. Trans. Moscow Math. Soc., 52 (1990), 59–108. [Google Scholar]
  13. A. Volpert, Vl. Volpert, Vit. Volpert. Travelling wave solutions of parabolic systems. 1994, AMS, Providence. [Google Scholar]
  14. V. Volpert, A. Volpert, J.F. Collet. Topological degree for elliptic operators in unbounded cylinders. Adv. Diff. Eq., 4 (1999), 777–812. [Google Scholar]
  15. V. Volpert, A. Volpert. Properness and topological degree for general elliptic operators. Abstract and Applied Analysis, 2003 (2003), 129–181. [CrossRef] [Google Scholar]
  16. A. Volpert, V. Volpert. Normal solvability of general linear elliptic problems. Abstract and Applied Analysis, 7 (2005), 733–756. [CrossRef] [Google Scholar]
  17. Y. Wang, J. Yin, Travelling waves for a biological reaction diffusion model with spatio- temporal delay, J. Math. Anal. Appl., 325 (2007), 1400–1409. [CrossRef] [MathSciNet] [Google Scholar]
  18. Z.C. Wang, W.T. Li, S. Ruan, Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays, J. Diff. Equations, 222 (2006), 185–232. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.