A nonlinear age-dependent model with spatial diffusion |
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| Authors: | Manuel Delgado |
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| Institution: | a Departamento Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080 Sevilla, Spain
b Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain |
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| Abstract: | The main goal of this paper is the study of the existence and uniqueness of a positive solution for a nonlinear age-dependent equation with spatial diffusion. For that, we mainly use the properties of an eigenvalue problem related to the equation and the sub-supersolution method. We justify that this method works for this equation, in which there is a potential blow-up and a nonlocal initial condition. |
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| Keywords: | Sub-supersolution method Nonlocal initial condition Logistic age-dependent |
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