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Environmental Science Policy & Geography
Maintained by Dr. Bob Wang
I am interested in the mathematical modeling of invasive species, infectious diseases, populations and other biological and ecological models. One of my current projects is mathematical modeling of social insects, in particular - Solenopsis invicta. Another ongoing project is to develop a mathematical model for the spread of Eurasian collared-dove (Streptopelia decaocto), an exotic dove species, using an integrodifference model (discrete in time and continuous in space).
Other projects include optimal control problems involving ordinary differential equations (ODE’s) and partial differential equations (PDE’s).
Erika Asano, S. Lenhart, and V. Protopopescu, ``Optimal Control of Swinging Elements in a Parabolic Competition Model,'' Applied Mathematics and Computation 217 pp. 6838-6855, 2011.
Asano, Erika and Deby L. Cassill. ``Impact of worker longevity and other endogenous factors on colony size in the fire ant, Solenopsis invicta'', Insectes Sociaux 58(4), pp.551-557, 2011.
Asano, Erika and Deby L. Cassill. ``Modeling temperature-mediated fluctuations in colony size in the fire ant, Solenopsis invicta''. (under review).
Interested in Math?