Mathematical Biology Seminar
  
              
              
Damon Toth, University of Washington
  
              Friday March 9, 2007 
              4:00pm LCB 219 Dynamics of Age-Structured Populations
              in a Chemostat
 
              
                    
              
               
              
              
              
Abstract:
A chemostat is a laboratory apparatus that provides a controlled,
resource-limited environment for microorganisms. Chemostat models are
of
considerable interest to theoretical ecologists because they can
provide
predictions with broad ecological ramifications that are testable in a
laboratory. I will present a single-species chemostat model that
couples a
PDE describing an age-structured population with a system of ODEs 
describing a chemostat, and I'll show that limit cycles arise via Hopf 
bifurcations in all versions of the model. I'll also present a 
periodically forced version of the model that displays strongly
resonant 
and chaotic behavior.
              
 
  
          
           
        
        
         
        
 
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