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Artículo
On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem
(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 ...
Artículo
Cooperative systems with any number of species
(Brown University, 2003-12)
In this paper we study the positive solutions of a cooperative system of any number of equations which considers the case of the slow diffusion and includes the Lotka-Volterra model. We determine conditions of existence of ...
Artículo
Existence of positive solution of a nonlocal logistic population model
(Springer, 2015)
In this paper, we study the existence of positive solutions for a class of nonlocal problem arising in population dynamic. Basically, we prove our results via bifurcation theory.
Artículo
Age-dependent diffusive Lotka-Volterra type systems
(Elsevier, 2007-03)
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 ...
Artículo
Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary
(Elsevier, 2008-06-15)
The main goal of this paper is to study a stationary problem arising from angiogenesis, including terms of chemotaxis and flux at the boundary of the tumor. We give sufficient conditions on terms of the data of the problems ...
Artículo
Analysis of an age-structured predator-prey model with disease in the prey
(Elsevier, 2006-09)
We study a nonlinear predator-prey model in which the prey population is affected by a mild disease, but has an effect on the death-rate and is assumed to have age structure. We assume that the predator population grows ...
Artículo
Study of the optimal harvesting control and the optimality system for an elliptic problem
(Society for Industrial and Applied Mathematics, 2003)
An optimal harvesting problem with concave non-quadratic cost functional and a diffusive degenerate elliptic logistic state equation type is investigated. Under certain assumptions, we prove the existence and uniqueness ...
Artículo
Stability and uniqueness for cooperative degenerate Lotka-Volterra model
(Elsevier, 2002-06)
In this work we deal with the existence, stability and uniqueness of positive solution of the symbiotic Lotka-Volterra degenerate model. We study and characterize the existence of the principal eigenvalue for weakly coupled ...
Artículo
Optimal control for the degenerate elliptic logistic equation
(Springer, 2002-06)
We consider the optimal control of the harvesting of the diffusive degenerate elliptic logistic equation. Under certain assumptions, we prove the existence and uniqueness of an optimal control. Moreover, the optimality ...
Artículo
Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio
(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 ...