| dc.creator | Aguerrea-Planas, Maitere | |
| dc.creator | Gómez-Gaete, Carlos | |
| dc.date | 2018-05-30T19:42:27Z | |
| dc.date | 2018-05-30T19:42:27Z | |
| dc.date | 2018 | |
| dc.date.accessioned | 2019-11-20T15:10:39Z | |
| dc.date.available | 2019-11-20T15:10:39Z | |
| dc.identifier | http://repositorio.ucm.cl:8080/handle/ucm/1788 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/3033554 | |
| dc.description | 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. | |
| dc.language | en | |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | Journal of Mathematical Analysis and Applications, 463(2), 681-707 | |
| dc.subject | Traveling wav | |
| dc.subject | Reaction diffusion equation | |
| dc.subject | Non local interaction | |
| dc.title | On existence of semi-wavefronts for a non-local reaction–diffusion equation with distributed delay | |
| dc.type | Artículos de revistas | |
