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Title: Estudi d’un sistema de reacció-difusió. El model depredador-presa
Author: Cruañas Baqué, Meritxell
Director/Tutor: Vieiro Yanes, Arturo
Keywords: Població
Treballs de fi de grau
Predació (Biologia)
Mètode dels elements finits
Equacions de reacció-difusió
Bachelor's thesis
Biotic communities
Predation (Biology)
Finite element method
Reaction-diffusion equations
Issue Date: 18-Jan-2019
Abstract: [en] A prey-predator model is a reaction-diffusion system that describes the prey and predator population densities evolution in an ecosystem. Turing patterns are geometrical patterns such as lines or spots that can arise naturally from the perturbation of a reaction-diffusion system initially in equilibrium. The main purpose of this project is to study a prey-predator model with ratio-dependent Holling type II functional response. We have seen the characteristics this system must fulfil in order to arise Turing patterns. We wanted to illustrate these patterns graphically; for that reason, we have simulated the system numerically using a finite differences method, the Euler method.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Arturo Vieiro Yanes
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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