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Artículo
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Refuge versus dispersion in the logistic equation
(Elsevier, 2017-06-05)
In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there exists a refuge where the species grows following a Malthusian law and, in addition, there exists ...
Artículo
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On the structure of the positive solutions of the logistic equation with nonlinear diffusion
(Elsevier, 2002-04-01)
Artículo
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Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth
(Elsevier, 2013-09)
In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic equations containing singular terms and natural growth in the gradient. We use an adequate sub-supersolution ...
Artículo
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Generalized eigenvalue problem for an interface elliptic equation
(Elsevier, 2024-05-05)
In this paper we deal with an eigenvalue problem in an interface elliptic equation. We characterize the set of principal eigenvalues as a level set of a concave and regular function. As application, we study a problem ...
Artículo
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Discurso de contestación al del profesor Durán Guardeño, por el Ilmo. Sr. D. Enrique Fernández Cara, el día 1 de junio de 2022
(Real Academia Sevillana de Ciencias, 2022)
Tesis Doctoral
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Dynamics of deterministic and stochastic systems containing colored noise and delay or memory
(2024-04-12)
This thesis is concerned with the dynamics of deterministic systems with memory, as well as stochastic systems with nonlinear white (colored) noise, with or without delay. In the three parts of the thesis, we specifically ...
Dataset
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Data-driven stabilized coefficients
(2024-06-07)
Artículo
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Forwards Attractor Structures in a Planar Cooperative Non-autonomous Lotka–Volterra System
(Springer, 2024-04-12)
The global attractor of a dissipative dynamical system provides the necessary information to understand the asymptotic dynamics of all the system’s solutions. A crucial question consists in finding the structure of this ...
Artículo
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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 ...
Artículo
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An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
(Elsevier, 2010-01-01)
In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. The problem includes a chemotaxis type term and a nonlinear boundary condition at the tumor boundary. ...