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Ecología matemática: Dinámica estructural en el modelo Lotka-Volterra
(2022-06-22)
This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra model. After exploring the existence and uniqueness of positive solutions, several properties of globally stable equilibrium are shown using the ...
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Ecuaciones diferenciales con retardo: Aplicación a un modelo de quimiostato
(2017-06)
In this work we will study the theory of dynamical systems with application to a chemostat. Starting with the autonomous models without delay where we will stop to analyze what happens in this model if we contemplate the ...
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Sistemas dinámicos no autónomos
(2017-06)
This work shows the attractors theory like a continuation of the differential equations studies we have seen in the subjects “EDP” and “AED”. We are going to analyse the existence and uniqueness of attractors in autonomous and ...
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Ecuación de reacción-difusión. Existencia, unicidad y comportamiento asintótico
(2016)
In this work, the theory of global attractors for parabolics PDEs is studied. We focus on the reaction-diffusion equations and we see as an example the ChaffeeInfante equation. In the first part, we have encompassed elliptic ...
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Sistemas dinámicos. Aplicaciones a las redes complejas
(2018)
This work is framed within the field of Dynamical System and their applicaitons to complex networks. In this text we investigate the existence of global attractors for ordinary differential systems and the existence of a ...
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Introducción a la Modelización Matemática Ecológica
(2020)
This work deals with the study of the global stability of the system Lokta-Volterra. We focus on the analysis of the global stability of said system. To this aim, we will treat the linear complementarity problem, studying ...
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Análisis cualitativo de sistemas de ecuaciones diferenciales: aplicaciones a modelos de Lotka-Volterra n-dimensionales
(2018-06)
This work shows The Lotka-Volterra systems like a continuation of the diferential equations studies we have seen in the subjects “AED” and “EDP”. We concentrate on the analysis of the global stability of Lotka-Volterra ...
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Dinámica global de sistemas mutualistas
(2016)
This work is framed within the field of Dynamical Systems and we aim to continue the study of the stability of dynamical systems that we already started on the subjects of “AED” and “MOM”. In this text we investigate the ...