Now showing items 1-10 of 10
A nonlinear age-dependent model with spatial diffusion [Article]
The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent equation with spatial diffusion. For that, we mainly use properties of an eigenvalue problem related ...
Some non-local population models with non-linear diffusion [Article]
In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.
On a parabolic-elliptic chemotactic model with coupled boundary conditions [Article]
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary conditions related to pattern formation. We prove the existence of a unique positive global in time ...
Age-dependent diffusive Lotka-Volterra type systems [Article]
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 ...
Combining linear and nonlinear diffusion [Article]
(De Gruyter, 2004-08)
In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, is assumed to be linear, m = 1, on a piece of the support domain, Ω1, and slow nonlinear, m(x) > 1, ...
On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem [Article]
(American Mathematical Society, 2004-06)
This paper concerns with the existence, uniqueness and/or multiplicity, and stability of positive solutions of an indefinite weight elliptic problem with concave or convex nonlinearity. We use mainly bifurcation method to ...
Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case [Article]
(University of Houston, 2003)
In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate logistic indefinite superlinear problem. By an adequate change of variable, the problem is transformed ...
On the uniqueness of positive solution of an elliptic equation [Article]
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity satisfies an specific monotony property. In order to prove the main result, we employ a change of variable used in previous ...
Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio [Article]
(Sociedad Española de Matemática Aplicada, 2005)
En este trabajo estudiamos modelos de la dinámica de poblaciones estructurados en edad con difusión. Construiremos un método de subsupersolución y veremos que, efectivamente, bajo la hipótesis de la existencia de un par ...
Nonlinear age-dependent diffusive equations: a bifurcation approach [Article]
The main goal of this paper is the study of the existence and uniqueness of positive solutions of some nonlinear age-dependent diffusive models, arising from dynamic populations. We use bifurcation method, for which it has ...