Qualitative analysis of some models of delay differential equations

Autores: Sebastián Buedo-Fernández
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: Carmen Núñez (presid.) , Rodrigo López Pouso (secret.) , José Joaquim Martins Oliveira (voc.)
Enlaces
- Tesis en acceso abierto en: MINERVA
Resumen
- 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.