Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 60, Issue 3, Pages 377-392Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s00033-007-7005-y
Keywords
Travelling wave front; nonlocality; minimal wave speed
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Funding
- NNSF of China [10571078]
- Ministry of Education of China
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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.
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