Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
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- Pan, S., Li, WT. & Lin, G. Z. angew. Math. Phys. (2009) 60: 377. doi:10.1007/s00033-007-7005-y
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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.