Traveling fronts in diffusive and cooperative Lotka–Volterra system with nonlocal delays


DOI: 10.1007/s00033-006-5125-4

Cite this article as:
Li, WT. & Wang, ZC. Z. angew. Math. Phys. (2007) 58: 571. doi:10.1007/s00033-006-5125-4


This paper is concerned with a diffusive and cooperative Lotka–Volterra model with distributed delays and nonlocal spatial effect. By using an iterative technique recently developed by Wang, Li and Ruan (Traveling wave fronts in reaction-diffusion systems with spatio-temporal delays, J. Differential Equations 222 (2006), 185–232), sufficient conditions are established for the existence of traveling wave front solutions connecting the zero and the positive equilibria by choosing different kernels. The result is an extension of an existing result for Fisher-KPP equation with nonlocal delay and is somewhat parallel to the existing result for diffusive and cooperative Lotka–Volterra system with discrete delays.

Mathematics Subject Classification (2000).

35K57 34K10 35B20 


Traveling wave fronts Lotka–Volterra system iterative technique nonlocal delays 

Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsLanzhou UniversityGansuPeople’s Republic of China
  2. 2.Department of MathematicsHexi UniversityGansuPeople’s Republic of China

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