Population and evolutionary dynamics in spatial systems

Physical and mathematical models are extremely useful to understand key processes in population and evolutionary dynamics. Such models allow the study of many diverse features in spatial systems such as front propagation, the evolution of the population number density, interactions between species (...

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Detalles Bibliográficos
Autor: Rodríguez Amor, Daniel
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:CBUC, CESCA
Repositorio:TDR. Tesis Doctorales en Red
OAI Identifier:oai:www.tdx.cat:10803/128501
Acceso en línea:http://hdl.handle.net/10803/128501
Access Level:acceso abierto
Palabra clave:Front propagation
Propagació de fronts
Propagación de frentes
Reaction-diffusion
Reacció-difusió
Reacción-difusión
Evolutionary games
Jocs evolutius
Juegos evolutivos
Population dynamics
Dinàmica de població
Dinámica poblacional
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Descripción
Sumario:Physical and mathematical models are extremely useful to understand key processes in population and evolutionary dynamics. Such models allow the study of many diverse features in spatial systems such as front propagation, the evolution of the population number density, interactions between species (or individuals), the evolution of strategies, etc. This thesis is devoted to several physical models describing spatial systems. The first model focuses on the effects of the population structure in two-dimensional invasive fronts. An expression for the front speed is derived from the equations for structured populations. The second model is devoted to the study of Vesicular Stomatitis Virus infections. In this case, reaction-diffusion equations are used to describe the interactions between uninfected cells, infected cells and virus populations. In the last model, the Prisoner's Dilemma game is used to study the evolution of cooperation and defection strategies