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On existence of semi-wavefronts for a non-local reaction–diffusion equation with distributed delay
| dc.contributor.author | Aguerrea-Planas, Maitere | |
| dc.contributor.author | Gómez-Gaete, Carlos | |
| dc.date.accessioned | 2018-05-30T19:42:27Z | |
| dc.date.available | 2018-05-30T19:42:27Z | |
| dc.date.issued | 2018 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/1788 | |
| dc.description.abstract | We study the problem of existence of semi-wavefront solutions for a non-local delayed reaction–diffusion equation with monostable nonlinearity. In difference with previous works, we consider non-local interaction which can be asymmetric in space. As a consequence of this asymmetry, we must analyze the existence of expansion waves for both positive and negative speeds. In the paper, we use a framework of the general theory recently developed for a certain nonlinear convolution equation. This approach allows us to prove the wave existence for the range of admissible speeds , where the critical speeds and can be calculated explicitly from some associated equations. The main result is then applied to several non-local reaction–diffusion epidemic and population models. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | Journal of Mathematical Analysis and Applications, 463(2), 681-707 | es_CL |
| dc.subject | Traveling wav | es_CL |
| dc.subject | Reaction diffusion equation | es_CL |
| dc.subject | Non local interaction | es_CL |
| dc.title | On existence of semi-wavefronts for a non-local reaction–diffusion equation with distributed delay | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.indexacion | Isi | es_CL |
| dc.ucm.uri | sibib2.ucm.cl:2048/login?url=https://www.sciencedirect.com/science/article/pii/S0022247X18302488 | es_CL |
| dc.ucm.doi | doi.org/10.1016/j.jmaa.2018.03.042 | es_CL |
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