Contributions to mathematical analysis of non-linear models with applications in population dynamics
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Título: | Contributions to mathematical analysis of non-linear models with applications in population dynamics |
Autor/a: | Lois Prados, Cristina |
Dirección/Titoría: | Liz Marzán, Eduardo Rodríguez López, Rosana |
Centro/Departamento: | Universidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS) Universidade de Santiago de Compostela. Programa de Doutoramento en Matemáticas |
Palabras chave: | compression-expansion fixed point theorems | set contractions; star-convex sets | non-autonomous Lotka-Volterra systems | threshold-based control rules | piecewise-smooth difference equations | discrete-time population models | global stability | border-collision bifurcations | |
Data: | 2021 |
Resumo: | The PhD thesis deals with two research lines, both within the framework of mathematical analysis of non-linear models. The main differences appear in the type of equations we consider and the approach used. On the one hand, we give some extensions of fixed point results that improve the localization of solutions to boundary or initial value problems and we contribute to the application of fixed point theory to population models. On the other hand, our main aim is to describe the asymptotic dynamics and bifurcations of some discrete-time one-dimensional dynamical systems. We follow a more applied-oriented approach, dealing with some population models arising in fisheries management or blood cell production. |
URI: | http://hdl.handle.net/10347/27050 |
Dereitos: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
Coleccións
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- Área de Ciencias [955]
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