In this paper we consider a diffusive Lotka-Volterra system including nonlocal terms in the reaction functions. We analyze ...

This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra model. After exploring the existence and ...

In the present work we make a theoretical study of Partial Differential Equations with non-local diffusion, paying major ...

In population dynamics, structural stability measures the ability of an ecosystem to maintain biodiversity under perturbations ...

This thesis is dedicated to modeling and analyzing mathematically the development of Glioblastoma. Thanks to considering ...

The stability theory of di erential equations studies variations in the solutions of Cauchy Problems under small perturbations ...

A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish ...

The aim of this project is to study generalized Lotka-Volterra systems applied in ecology. This work is divided in five ...

In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, ...

En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ...

In this work we study different population models of ordinary differential equations of one and two species, respectively. ...

In this work we show the existence of coexistence states for a nonlocal elliptic system arising from the growth of cancer ...

The aim of this project is to analyze two models of ordinary differential equations with applications in medicine, ...

Equations and systems in differences have acquired great relevance with the study and simulation of discrete models in the ...

In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type ...

El objetivo principal de este trabajo es el análisis matemático de sistemas de ecuaciones diferenciales que modelan redes ...

In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there ...

In this paper we study the Lotka-Volterra models with fractional Laplacian. For that, we study in detail the logistic ...

The objective of this work is to study the definition and main properties of Lp Lyapunov constants, 1 ≤ p ≤ ∞, for scalar ...

In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction ...

In this work we examine a logistic equation with local and nonlocal reaction terms both for time dependent and steady-state ...

In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose ...

In this work, the theory of global attractors for parabolics PDEs is studied. We focus on the reaction-diffusion equations ...

This work is framed within the field of Dynamical Systems and we aim to continue the study of the stability of dynamical ...

Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually ...

In this work we show some multiplicity results for the anisotropic equation − XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in ...

We consider a nonlinear eigenvalue problem with indefinite weight under Robin boundary condition. We prove the existence ...

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.

In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.

In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the ...

In this paper we study a three dimensional mutualistic model of two plants in competition and a pollinator with cooperative ...

In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence ...

In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic ...

This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy ...

In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic ...

In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.

This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary ...

In this paper we study in detail the geometrical structure of global pullback and forwards attractors associated to ...

We show the existence and nonexistence of positive solutions to a system of singular elliptic equations with Dirichlet ...

In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. ...

In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ...

The main goal of this paper is to study the existence and non-existence of coexistence states for a Lotka-Volterra symbiotic ...

Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis ...

Esta tesis presenta tres partes: En la primera haremos un estudio teórico general de las ecuaciones elípticas en derivadas ...

We study a system of equations arising from angiogenesis which contains a nonregular term that vanishes below a certain ...

In this paper we study a model for a species confined in a bounded region. This species diffuses slowly, follows a logistic ...

In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative ...

The main goal of this paper is to study a stationary problem arising from angiogenesis, including terms of chemotaxis and ...

The main goal of this paper is the study of the existence and uniqueness of positive solutions of some nonlinear age-dependent ...

En esta comunicación presentamos un sistema en ecuaciones en derivadas parciales no lineales simplificado que modela un ...

The main goal of this work is to study the existence and uniqueness of positive solution of a logistic equation including ...

In this paper we determine the exact structure of the pullback attractors in non-autonomous problems that are perturbations ...

We study the stability of attractors under non-autonomous perturbations that are uniformly small in time. While in general ...

In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with ...

In this paper our aim is to present a survey of known results of an optimal control problem with concave non-quadratic ...

The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − ...

In this work we consider existence and uniqueness of positive solutions to the elliptic equation −∆u = λu in Ω, with the ...

We study a nonlinear predator-prey model in which the prey population is affected by a mild disease, but has an effect on ...

In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary conditions.

In a previous paper we introduced various definitions of stability and instability for non-autonomous differential equations, ...

The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent ...

This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity satisfies an specific ...

In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous equation ut ...

En este trabajo estudiamos modelos de la dinámica de poblaciones estructurados en edad con difusión. Construiremos un ...

In this paper, we would like compare the spread of an infectious disease in a population without the influence of a predator ...

This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolution and bifurcation methods are used in order to obtain existence, uniqueness or multiplicity of positive solutions.

This paper deals with the existence, uniqueness and qualitative properties of nonnegative and nontrivial solutions of a ...

In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, ...

This paper concerns with the existence, uniqueness and/or multiplicity, and stability of positive solutions of an indefinite ...

In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with a ...

In this work we study the structure of the set of positive solutions of a nonlinear eigenvalue problem with a weight ...

En este trabajo, daremos algunos resultados de existencia y unicidad de solución para un problema de dinámica de poblaciones ...

Although the pioneering studies of G. I. Barenblatt ([8] G. I. Barenblatt, On some unsteady motions of a liquid or a gas ...

In this paper we study the positive solutions of a cooperative system of any number of equations which considers the case ...

Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In ...

In this work we consider positive solutions to cooperative elliptic systems of the form −∆u = λu−u2 +buv, −∆v = µv −v2 ...

The goal of this work is to study in some detail the asymptotic behaviour of a non-autonomous Lotka-Volterra model, both ...

An optimal harvesting problem with concave non-quadratic cost functional and a diffusive degenerate elliptic logistic state ...

The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear ...

In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate ...

In this work we deal with the existence, stability and uniqueness of positive solution of the symbiotic Lotka-Volterra ...

We consider the optimal control of the harvesting of the diffusive degenerate elliptic logistic equation. Under certain ...

There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential ...

En este trabajo presentamos el estudio teórico de algunos modelos de ecuaciones en derivadas parciales que aparecen en la modelización de la dinámica de poblaciones

In this work we study the existence, uniqueness and qualitative properties of nonnegative solutions of the Lotka-Volterra ...

In this work we analyze the existence, stability and multiplicity of coexistence states for a symbiotic Lotka-Volterra ...

En esta Memoria se estudian algunas de las propiedades de las soluciones de ciertas Ecuaciones en Derivadas Parciales no ...