Suárez Fernández, Antonio2018-07-232018-07-232018-06-20Gálvez García, M. (2018). Estudio y comparación de diversos modelos de depredador-presa. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla.https://hdl.handle.net/11441/77521In 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.application/pdfspaAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Modelo depredador-presaEcuaciones de Volterrainfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess