Author | dc.contributor.author | Trofimchuk, Elena | |
Author | dc.contributor.author | Pinto Jiménez, Manuel | |
Author | dc.contributor.author | Trofimchuk, Sergei | |
Admission date | dc.date.accessioned | 2021-01-06T14:09:51Z | |
Available date | dc.date.available | 2021-01-06T14:09:51Z | |
Publication date | dc.date.issued | 2020 | |
Cita de ítem | dc.identifier.citation | Proceedings of the Royal Society of Edinburgh Section A: Mathematics Vol. 150 No: 5 Páginas: 2462-2483 Oct 2020 | es_ES |
Identifier | dc.identifier.other | 10.1017/prm.2019.31 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/178201 | |
Abstract | dc.description.abstract | We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole model dynamics. Firstly, we prove the existence of monotone wavefronts. In difference with all previous results formulated in terms of 'sufficiently small parameters', our existence theorem indicates a reasonably broad and explicit range of the model key parameters allowing the existence of monotone waves. Secondly, numerical simulations realized on the base of our analysis show appearance of non-oscillating and non-monotone travelling fronts in the FL model. These waves were never observed before. Finally, invoking a new approach developed recently by Solaret al., we prove the uniqueness (for a fixed propagation speed, up to translation) of each monotone front. | es_ES |
Patrocinador | dc.description.sponsorship | Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
CONICYT FONDECYT
1190712
1170466 | es_ES |
Lenguage | dc.language.iso | en | es_ES |
Publisher | dc.publisher | Cambridge University Press | es_ES |
Source | dc.source | Proceedings of the Royal Society of Edinburgh Section A: Mathematics | es_ES |
Keywords | dc.subject | Food-limited model | es_ES |
Keywords | dc.subject | Monotone wave | es_ES |
Keywords | dc.subject | Nonlocal interaction | es_ES |
Keywords | dc.subject | Existence | es_ES |
Keywords | dc.subject | Uniqueness | es_ES |
Título | dc.title | Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model | es_ES |
Document type | dc.type | Artículo de revista | |
dcterms.accessRights | dcterms.accessRights | Acceso a solo metadatos | es_ES |
Cataloguer | uchile.catalogador | ctc | es_ES |
Indexation | uchile.index | Artículo de publicación ISI | es_ES |
Indexation | uchile.index | Artículo de publicación SCOPUS | |