Trabajo Fin de Grado
Estudio y comparación de diversos modelos de depredador-presa
Autor/es | Gálvez García, Miriam |
Director | Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2018-06-20 |
Fecha de depósito | 2018-07-23 |
Titulación | Universidad de Sevilla. Grado en Matemáticas |
Resumen | 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 ... 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. |
Cita | Gálvez García, M. (2018). Estudio y comparación de diversos modelos de depredador-presa. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Gálvez García Miriam TFG.pdf | 876.3Kb | [PDF] | Ver/ | |