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

References




Helpful Reference Books:


  • Banks, R. B. (1994)
    Growth and Diffusion Phenomena: Mathematical Frameworks and Applications.
    Springer-Verlag, Berlin, Germany.
    
    
    UW Library Catalog
    
    
    
    
  • Barber, M. N. and Ninham, B. W. 1970.
    Random and Restricted Walks: Theory and Applications.
    Gordon and Breach, New York, New York, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Berg, H. C. (1993)
    Random Walks in Biology.
    Princeton University Press, Princeton, New Jersey, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Britton, N. F. (1986)
    Reaction-Diffusion Equations and Their Applications to Biology.
    Academic Press, London, UK.
    
    
    UW Library Catalog
    
    
    
    
  • Cantrell, R. S. and Cosner, C. (2003)
    Spatial Ecology via Reaction-Diffusion Equations
    John Wiley & Sons, Chichester, UK.
    
    
    UW Library Catalog
    
    
    
    
  • Dieckmann, U., Law, R., Metz, J. A. J. (2000)
    The Geometry of Ecological Interactions: Simplifying Spatial Complexity.
    Cambridge University Press, Cambridge, UK
    
    
    UW Library Catalog
    
    
    
    
  • Edelstein-Keshet, L. (1988)
    Mathematical Models in Biology
    Random House, New York, NY.
    
    
    UW Library Catalog
    
    
    
    Edelstein-Keshet, L.  (2005)
    
    Mathematical Models in Biology
    SIAM, Philadelphia, PA.
    
    
    UW Library Catalog
    
    
    
    
  • Hughes, B. D. (1995)
    Random Walks and Random Environments. Volume 1: Random Walks.
    Oxford University Press, Oxford, UK.
    
    
    UW Library Catalog
    
    
    
    
  • Ibe, O. C. (2013)
    Elements of Random Walk and Diffusion Processes.
    John Wiley & Sons, Hoboken, NJ
    
    
    UW Library Catalog
    
    
    
    
  • Klafter, J. and Sokolov, I. M. (2011)
    First Steps in Random Walks: From Tools to Applications.
    Oxford University Press, Oxford, UK.
    
    
    UW Library Catalog
    
    
    
    
  • Kot, M. (2001)
    Elements of Mathematical Ecology.
    Cambridge University Press, Cambridge, UK.
    
    
    UW Library Catalog
    
    
    
    
    
  • Logan, J. D. (2001)
    Transport Modeling in Hydrogeochemical Systems.
    Springer-Verlag, New York, New York, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Logan, J. D. (2008)
    An Introduction to Nonlinear Partial Differential Equations.
    John Wiley & Sons, Hoboken, New Jersey, USA.
    
    
    UW Library Catalog
    
    
    
    
  • McGlade, J. (1999)
    Advanced Ecological Theory: Principles and Applications.
    Blackwell Science, Oxford, UK.
    
    
    UW Library Catalog
    
    
    
    
  • Mendez, V., Campos, D., and Martumeus, F. (2014)
    Stochastic Foundations in Movement Ecology: Anomalous Diffusion, Front Propagation and Random Searches.
    Springer, Berlin, Germany.
    
    
    UW Library Catalog
    
    
    
    
  • Murray, J. D. (2002)
    Mathematical Biology I: An Introduction.
    Springer, Berlin, Germany
    
    
    UW Library Catalog
    
    
    
    
  • Murray, J. D. (2003)
    Mathematical Biology. II: Spatial Models and Biomedical Applications.
    Springer-Verlag, New York, New York, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Okubo, A. and Levin, S. A. (2001)
    Diffusion and Ecological Problems: Modern Perspectives.
    Springer-Verlag, New York, New York, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Rudnick, R. and Gaspari, G. (2004)
    Elements of the Random Walk: An Introduction for Advanced Students and Researchers.
    Cambridge University Press, Cambridge, UK.
    
    
    UW Library Catalog
    
    
    
    
  • Sattenspiel. L. (2009)
    The Geographic Spread of Infectious Diseases: Models and Applications.
    Princeton University Press, Princeton, New Jersey, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Smoller, J. (1994)
    Shock Waves and Reaction-Diffusion Equations.
    Springer-Verlag, New York, New York, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Tilman. D. and Kareiva, P. (1997)
    Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions.
    Princeton University Press, Princeton, New Jersey, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Shigesada, N. and Kawasaki, K. (1997)
    Biological Invasions: Theory and Practice.
    Oxford University Press, Oxford, UK.
    
    
    UW Library Catalog
    
    
    
    
  • Turchin. P. (1998)
    Quantitative Analysis of Movement: Measuring and Modelling Population Redistribution in Animals and Plants
    Sinauer Associates, Inc., Sunderland, Massachusetts, USA.
    
    
    UW Library Catalog
    
    
    
    
  • Weiss, G. H. (1994)
    Aspects and Applications of the Random Walk
    North-Holland, Amsterdam, Netherlands
    
    
    UW Library Catalog