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Trabajo Fin de Grado
Estudio y comparación de diversos modelos de depredador-presa
dc.contributor.advisor | Suárez Fernández, Antonio | es |
dc.creator | Gálvez García, Miriam | es |
dc.date.accessioned | 2018-07-23T11:38:33Z | |
dc.date.available | 2018-07-23T11:38:33Z | |
dc.date.issued | 2018-06-20 | |
dc.identifier.citation | Gálvez García, M. (2018). Estudio y comparación de diversos modelos de depredador-presa. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla. | |
dc.identifier.uri | https://hdl.handle.net/11441/77521 | |
dc.description.abstract | In this work we study different population models of ordinary differential equations of one and two species, respectively. In particular, we study in detail the prey-predator Lotka-Volterra model. We compare the behavior of the species in the Lotka-Volterra model and in different variants of that system. An outline of this work is as follows: in Chapter 2 we describe the different population models and show its corresponding behavior. In Chapter 3, we study theoretically the original model of Lotka-Volterra, where its stationary points, trajectories and the local stability of such model are analyzed. In Chapter 4, we study the Lotka-Volterra logistic model. We analyze the existence and uniqueness of solutions for system, stationary points and their local and global stability. Finally, in Chapter 5 we make numerical simulations related to the previous chapters and show the difference between the classic Lotka-Volterra model and some of its variants. | es |
dc.format | application/pdf | es |
dc.language.iso | spa | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Modelo depredador-presa | es |
dc.subject | Ecuaciones de Volterra | es |
dc.title | Estudio y comparación de diversos modelos de depredador-presa | es |
dc.type | info:eu-repo/semantics/bachelorThesis | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.description.degree | Universidad de Sevilla. Grado en Matemáticas | es |
idus.format.extent | 57 p. | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Gálvez García Miriam TFG.pdf | 876.3Kb | [PDF] | Ver/ | |