My research interests are in mathematical modeling and simulation, in particular:
- Mathematical ecology
- Stochastic spatial models in population ecology (e.g. interacting particle systems, individual-based models, metapopulations)
- Spatial epidemiological models
- Dispersal on heterogeneous fragmented landscapes
- Cellular automata
- Collective computational behavior of swarms of simple agents
- Complex systems, artificial life
Although I do mostly theoretical work, I hope that through collaborations with others I may apply my research to problems in integrated pest management, conservation biology, epidemiology, gene flow, invasions by exotic species, and general understanding of the life history and population ecology of various organisms.
Below are three artificial landscapes I generated, which I have used for
studying various population models. All three landscapes have 30% of
the sites black, and 70% white, but with different degrees of
clustering. I describe a method for generating these landscapes, and
the behavior of locally-dispersing populations on them, in my paper
"Populations on Fragmented Landscapes with Spatially Structured
Heterogeneities: Landscape Generation and Local Dispersal". You can
find more information about the paper over on my publications page.
You can find more information about my research activities on my SPEED Lab pages.