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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
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
Pullback permanence in a non-autonomous competitive Lotka-Volterra model
(Elsevier, 2003-05-01)
The goal of this work is to study in some detail the asymptotic behaviour of a non-autonomous Lotka-Volterra model, both in the conventional sense (as t → ∞) and in the “pullback” sense (starting a fixed initial condition ...
Artículo
Nonnegative solutions for the degenerate logistic indefinite sublinear equation
(Elsevier, 2003-01)
The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear problem. We combine bifurcation method and linking local subsupersolution technique to show the ...
Artículo
Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case
(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 ...
Artículo
On the structure of the positive solutions of the logistic equation with nonlinear diffusion
(Elsevier, 2002-04-01)
Artículo
Stability, instability, and bifurcation phenomena in non-autonomous differential equations
(IOPscience, 2002-05)
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential equations. However, there is currently no well-developed theory that treats similar questions for the ...