Qualitative analysis of some models of delay differential equations

  1. Sebastián Buedo-Fernández
Dirixida por:
  1. Eduardo Liz Marzán Director
  2. Rosana Rodríguez López Director

Universidade de defensa: Universidade de Santiago de Compostela

Ano de defensa: 2021

  1. Carmen Núñez Presidente/a
  2. Rodrigo López Pouso Secretario
  3. José Joaquim Martins Oliveira Vogal
  1. Departamento de Estatística, Análise Matemática e Optimización

Tipo: Tese


This thesis concerns the study of the global dynamics of delay differential equations of the so-called production and destruction type, which find applications to the modelling of several phenomena in areas such as population growth dynamics, economics, cell production, etc. For instance, by applying tools coming from discrete dynamics, we provide sufficient conditions for the existence of globally attracting equilibria for families of scalar or multidimensional equations. Moreover, we extend some known results in the scalar non-autonomous case by the use of integral inequalities. Finally, the existence of periodic solutions is analysed in the general context of infinite delay, impulses and periodic coefficients.