Year: 2013
Type: dissertation
Abstract: 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
Author: Daniel R. Amor
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1610935573, G7346281931, G8266748027
OpenAlex ID: W2289784621