Dr. J.E. Franke

Office: Harrelson 205

Fall 2008
Office Hours: 8:30 - 9:00 and 11:15 - 11:45  MWThF
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
  

Courses I Teach:

• MA 114
• MA 225
• MA 225 Homework
  
• MA 225 Answers
• MA 225 Tests
  
• MA 241
• MA 241 Tests
• Fall 2008 MA 425 Section 1
• Fall 2008 MA 425 Section 1 Answers
• Fall 2008 MA 425 Section 2
• Fall 2008 MA 425 Section 2 Answers
  
• MA 426
• MA 426 Answers
• MA 501
• MA 501 Answers
  
• MA 511
• MA 532
• MA 537
• MA 537 Answers
• MA 591F Fractals and Complex Dynamics
• MA 591F Real Analysis

Other Links:

• E-math
• MathSciNet
• Citations: Web of Science

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