Contributions to mathematical analysis of non-linear models with applications in population dynamics

• Autores: Cristina Lois Prados
• Directores de la Tesis: Eduardo Liz Marzán (dir. tes.), Rosana Rodríguez López (dir. tes.)
• Lectura: En la Universidade de Santiago de Compostela ( España ) en 2021
• Idioma: inglés
• Tribunal Calificador de la Tesis: Alberto Cabada Fernández (presid.), Daniel Franco Leis (secret.), Carlota Rebelo (voc.)
• Materias:
  • Matemáticas
    • Análisis y análisis funcional
      • Ecuaciones en diferencias
      • Ecuaciones diferenciales ordinarias
  • Ciencias agrarias
    • Peces y fauna silvestre
      • Dinámica de las poblaciones
• Enlaces
  • Tesis en acceso abierto en: MINERVA
• Resumen

  • 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.