Browsing Doctoral Degrees (Applied Mathematics) by Advisor "Banasiak, Jacek."
Now showing items 15 of 5

Age structured models of mathematical epidemiology.
(2013)We consider a mathematical model which describes the dynamics for the spread of a directly transmitted disease in an isolated population with age structure, in an invariant habitat, where all ... 
Asymptotic analysis of singularly perturbed dynamical systems.
(2011)According to the needs, real systems can be modeled at various level of resolution. It can be detailed interactions at the individual level (or at microscopic level) or a sample of the system (or at mesoscopic level) and ... 
On singularly perturbed problems and exchange of stabilities.
(2015)Singular perturbation theory has been used for about a century to describe models displaying different timescales, that arise in applied sciences; particularly, models displaying two timescales, namely slow time and fast ... 
Study of singularly perturbed models and its applications in ecology and epidemiology.
(2017)In recent years the demand for a more accurate description of real life processes and advances in experimental techniques have resulted in construction of very complex mathematical models, consisting of tens, hundreds, if ... 
Transport on network structures.
(2013)This thesis is dedicated to the study of flows on a network. In the first part of the work, we describe notation and give the necessary results from graph theory and operator theory that will be used in the rest of ...