# name
Estudi de la dinàmica de models de reacció-difusió

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2015, Director: Àlex Haro

# metadata.dc.description.abstract[].value
The Fisher-KPP equation is a model for invasion processes and the Brusselator is an autocatalytic model used in chemistry. Both of them belong to the reaction-diffusion models family. The purpose of this project is to study the behaviour and dynamics of their solutions. Having made a brief introduction into the weak solutions class to understand the existence and uniqueness of solutions, we focus on the phenomenon of traveling waves and its link with heteroclinic connections in a vector field. The Lyapunov theory provides us with the necessary tools to reach the existence of traveling waves in Fisher-KPP model. To complete the study we
analyze the presence of a Hopf bifurcation in the Brusselator model.

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
Estudi de la dinàmica de models de reacció-difusió