Dr. J.E. Franke
Professor: Mathematics
Department
North Carolina
State University
Office: SAS 3222
Fall 2011
Office Hours: 8:45 - 9:45 MWF 11:15-12:00 Th
And
by appointment
Phone: (919) 515-2381
Family
Pictures
Current Research
- MULTIPLE ATTRACTORS VIA CUSP
BIFURCATION IN PERIODICALLY VARYING ENVIRONMENTS, JDEA 2005
- PERIODIC DYNAMICAL
SYSTEMS IN UNIDIRECTIONAL METAPOPULATION MODELS, JDEA 2005
- Population Models With
Periodic Recruitment Functions and Survival Rates, JDEA 2005
- SIGNATURE FUNCTION FOR
PREDICTING RESONANT AND ATTENUANT POPULATION CYCLES, Bul.
Math. Bio. 2006
- Globally Attracting Attenuant
Versus Resonant Cycles In Periodic Compensatory Leslie Models,
MATHEMATICAL BIOSCIENCES 2006
- Attenuant Cycles In
Periodically Forced Discrete-Time Age-Structured Population
Models, JMAA 2006
- Discrete-Time SIS
Epidemic Model in a Seasonal Environment, SIAM Journal of
Applied Mathematics 2006
- Useing a Signature Function
to Determine Resonant and Attenuant 2-Cycles in the
Smith-Slatkin Population Model, JDEA 2007
- S-I-S
Epidemic
Attractors
in Periodic Environments, J Bio Dynamics 2007
- Bounded implies eventually
periodic for the positive case of reciprocal-max difference
equation with periodic parameters, JDEA 2008
- Disease-Induced Mortality
and Density-Dependent Recruitment Functions in S-I-S Epidemic
Models, J Mathemathical Biology 2008
- Periodically Forced
Discrete-Time SIS Epidemic Model With Disease Induced
Mortality, Mathematical Biosciences and Engineering 2011
Courses I Teach:
Other Links:
Last Update: 8/18/2011
