Langa Rosado, José Antonio2018-07-242018-07-242018-06Núñez Santiago, R. (2018). Análisis cualitativo de sistemas de ecuaciones diferenciales: aplicaciones a modelos de Lotka-Volterra n-dimensionales. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla.https://hdl.handle.net/11441/77563This 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.application/pdfspaAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Ecuaciones de Volterrainfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess