%0 Journal Article %1 shuxia2009travelling %A Pan, Shuxia %A Li, Wan-Tong %A Lin, Guo %D 2009 %J Zeitschrift für Angewandte Mathematik und Physik (ZAMP) %K Fisher-KPP density_dependence logistic_growth nonlocal_diffusion nonlocal_dispersal travelling_wave %N 3 %P 377--392 %T Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications %U http://dx.doi.org/10.1007/s00033-007-7005-y %V 60 %X Abstract.  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 pointtheorem and upper-lower solution technique. Then these results are applied to the nonlocal delayed Logistic model and thedelayed Belousov-Zhabotinskii reaction-diffusion system. Our results show that the time delay can reduce the minimal wavespeed while the nonlocality can increase the minimal wave speed.

@article{shuxia2009travelling, abstract = {Abstract.  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 pointtheorem and upper-lower solution technique. Then these results are applied to the nonlocal delayed Logistic model and thedelayed Belousov-Zhabotinskii reaction-diffusion system. Our results show that the time delay can reduce the minimal wavespeed while the nonlocality can increase the minimal wave speed.}, added-at = {2009-11-12T04:20:49.000+0100}, author = {Pan, Shuxia and Li, Wan-Tong and Lin, Guo}, biburl = {https://www.bibsonomy.org/bibtex/27cb280f971afccea7d8328b42e7c262a/peter.ralph}, description = {SpringerLink - Journal Article}, interhash = {3881747c736dd2fed74a2c22afa64c67}, intrahash = {7cb280f971afccea7d8328b42e7c262a}, journal = {Zeitschrift für Angewandte Mathematik und Physik (ZAMP)}, keywords = {Fisher-KPP density_dependence logistic_growth nonlocal_diffusion nonlocal_dispersal travelling_wave}, month = {#may#}, number = 3, pages = {377--392}, timestamp = {2013-09-12T22:23:01.000+0200}, title = {Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications}, url = {http://dx.doi.org/10.1007/s00033-007-7005-y}, volume = 60, year = 2009 }