Felicia Magpantay
Associate Professor
| Office: | Jeffery Hall, Rm. 410 |
|---|---|
| Phone: | (613) 533-2402 |
| Email: | felicia.magpantay@queensu.ca |
| Website: | |
| Research: | Delay differential equations, mathematical modeling, numerical analysis, applied probability |
Degrees & Accolades:
Ph.D. (McGill University)
M.Sc. (University of Western Ontario)
B.Sc. (Trent University)
Research Profile:
I am broadly interested in delay differential equations, including state-dependent delay differential equations and numerical methods for approximating solutions of DDEs. I am also interested in many fields of mathematical modeling, and particularly in transient dynamics such as the honeymoon period of disease systems after the start of mass vaccination campaigns.
Research Areas:
Research area 1: A lot of mathematical tools are geared towards the identi cation and analysis of the equilibria and absorbing sets of systems. However, there are many long-lasting non-asymptotic behaviours that are also very important in applications. Models of shing systems may feature population collapses wherein biomass can temporarily crash to very low levels despite strict management e orts. Epidemiological models can exhibit honeymoon periods after the onset of mass vaccination which may end with a disease resurgence. My group is working to expand our theoretical framework on long transient dynamics.
Research area 2: Infectious diseases are the leading causes of death for children in low-income countries. Mathematical modeling is a powerful tool for studying many types of complex systems, including the spread of infections. We combine modern techniques from analysis and applied mathematics with innovative methods in scienti c computing to tackle high-dimensional and multi-faceted modeling problems.
Research area 3: Delay di erential equations (DDEs) are di erential equations wherein the rate of change of the state of the system depends on values at previous times. Much of the theory on DDEs focus on constant and time-dependent delays, but many delays are naturally state-dependent (SD). For example, in ecology we can expect that a populations growth rate depends on how long it takes for newborns to enter reproductive maturity. Under the restriction of limited resources, this delay depends on the population size. My group works on both the theory and applications of SD-DDEs.