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Análisis cualitativo de sistemas de ecuaciones diferenciales: aplicaciones a modelos de Lotka-Volterra n-dimensionales

 

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Opened Access Análisis cualitativo de sistemas de ecuaciones diferenciales: aplicaciones a modelos de Lotka-Volterra n-dimensionales
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Author: Núñez Santiago, Rocío
Director: Langa Rosado, José Antonio
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2018-06
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Grado en Matemáticas
Abstract: 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 systems. Once the existence and uniqueness of solutions for these systems is proved, we develop sufficient condition for the associated adjacency matrix to assure the existence of a unique global stable stationary solutions. Finally, we study Lotka-Volterra mutualism models associated to complex networks in Ecology, for which our previous results hold.
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URI: https://hdl.handle.net/11441/77563

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