Traveling wave solutions in nonlocal reaction-diffusion systems with delays and applications
Yu, Zhi-Xian ; Yuan, Rong
ANZIAM Journal, Tome 51 (2010), / Harvested from Australian Mathematical Society
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This paper deals with two-species convolution diffusion-competition models of the Lotka--Volterra type with delays which describe more accurate information than the Laplacian diffusion-competition models. We first investigate the existence of travelling wave solutions of a class of nonlocal convolution diffusion systems with weak quasimonotonicity or weak exponential quasimonotonicity by a cross-iteration technique and Schauder's fixed point theorem. When the results are applied to the convolution diffusion-competition models with delays, we establish the existence of traveling wave solutions as well as asymptotic behavior. doi:10.1017/S1446181109000406

Publié le : 2010-01-01
DOI : https://doi.org/10.21914/anziamj.v51i0.2321 
@article{2321,
     title = {Traveling wave solutions in nonlocal reaction-diffusion systems with delays and applications},
     journal = {ANZIAM Journal},
     volume = {51},
     year = {2010},
     doi = {10.21914/anziamj.v51i0.2321},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/2321}
}

Yu, Zhi-Xian; Yuan, Rong. Traveling wave solutions in nonlocal reaction-diffusion systems with delays and applications. ANZIAM Journal, Tome 51 (2010) . doi : 10.21914/anziamj.v51i0.2321. http://gdmltest.u-ga.fr/item/2321/