Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications


DOI: 10.1007/s00033-007-7005-y

Cite this article as:
Pan, S., Li, WT. & Lin, G. Z. angew. Math. Phys. (2009) 60: 377. doi:10.1007/s00033-007-7005-y


This paper is concerned with the travelling wave fronts of nonlocal reaction-diffusion systems with delays. The existence of travelling wave fronts for nonlocal reaction-diffusion systems with delays is established by using Schauder’s fixed point theorem and upper-lower solution technique. Then these results are applied to the nonlocal delayed Logistic model and the delayed Belousov-Zhabotinskii reaction-diffusion system. Our results show that the time delay can reduce the minimal wave speed while the nonlocality can increase the minimal wave speed.

Mathematics Subject Classification (2000).



Travelling wave frontnonlocalityminimal wave speed

Copyright information

© Birkhäuser Verlag, Basel 2007

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsLanzhou UniversityLanzhouPeople’s Republic of China
  2. 2.Department of Applied MathematicsLanzhou University of TechnologyLanzhouPeople’s Republic of China