AMATH 536  |  Schedule  |  Instructor  |  Flyer  |  Handout  |  Content  |  Outline  |  Textbooks  |  References  |  Prerequisites  |  Grading  |  Homework  |  Calendar  |  Notes  
 
 AMATH 536 
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Formulating spatial models:


  • Random walks
    
    
    
  • Reaction-diffusion equations
    
    
    
  • Integrodifference equations
    
    
    

Core problems:



  • Population persistence.
    
    
    What is the critical patch size for an endangered population?
    
    
    
    
  • Range shifts.
    
    
    Can populations keep pace with climate-induced range shifts?
    
    
    
    
  • Spread rates
    
    
    How quickly do invading populations spread?
    
    
    
    
  • Pattern formation.
    
    
    Can spatial patterns in density arise from trophic interactions
    and dispersal in homogeneous environments?
    
    
    
    
  • Age and stage structure.
    
    
    How do age and stage structure, in growth and dispersal, affect the answers to the above questions?