Age-dependent diffusive Lotka-Volterra type systems

In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with non-local initial conditions. As application, we prove the existence and uniqueness of positive solution for a kind of Lotka-Volterra systems, as well as the blow-up in finite time in...

Descripción completa

Detalles Bibliográficos
Autores: Delgado Delgado, Manuel, Suárez Fernández, Antonio
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42171
Acceso en línea:http://hdl.handle.net/11441/42171
https://doi.org/10.1016/j.mcm.2006.07.013
Access Level:acceso abierto
Palabra clave:Sub and supersolutions
Lotka-Volterra systems
backward problem
blowup
Descripción
Sumario:In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with non-local initial conditions. As application, we prove the existence and uniqueness of positive solution for a kind of Lotka-Volterra systems, as well as the blow-up in finite time in a particular case.