RT Dissertation/Thesis
T1 Contributions to mathematical analysis of non-linear models with applications in population dynamics
A1 Lois Prados, Cristina
K1 compression-expansion fixed point theorems
K1 set contractions; star-convex sets
K1 non-autonomous Lotka-Volterra systems
K1 threshold-based control rules
K1 piecewise-smooth difference equations
K1 discrete-time population models
K1 global stability
K1 border-collision bifurcations
AB The PhD thesis deals with two research lines, both within the framework ofmathematical analysis of non-linear models. The main differences appear in the type of equations we consider andthe approach used. On the one hand, we give some extensions of fixed point results that improve the localization ofsolutions to boundary or initial value problems and we contribute to the application of fixed point theory topopulation models. On the other hand, our main aim is to describe the asymptotic dynamics and bifurcations ofsome discrete-time one-dimensional dynamical systems. We follow a more applied-oriented approach, dealing withsome population models arising in fisheries management or blood cell production.
YR 2021
FD 2021
LK http://hdl.handle.net/10347/27050
UL http://hdl.handle.net/10347/27050
LA eng
DS Minerva
RD 24 abr 2026