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 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?