Age-dependent diffusive Lotka-Volterra type systems

Authors:
M. Delgado;A. SuáRez
Affiliations:
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Fac. Matemáticas, C/Tarfia s/n, C.P. 41012, Univ. Sevilla, Spain;Dpto. Ecuaciones Diferenciales y Análisis Numérico, Fac. Matemáticas, C/Tarfia s/n, C.P. 41012, Univ. Sevilla, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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Abstract

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