• Frank C. Hoppensteadt
  • Charles S. Peskin
Part of the Texts in Applied Mathematics book series (TAM, volume 10)


Bacteria in our guts, insects in a field, trees in a forest and plants borne by air and water around the world are among many examples whose spatial distributions are important and interesting to study. Mechanisms of dispersal include making small random moves, being carried along by air or water, and being attracted to certain areas by chemical signals, nutrients, light, etc. Patterns of organisms can be formed by dispersal or aggregation. On the other hand, immobile organisms, like some bacteria on plant roots, can find themselves in habitats where nutrition fluctuates, for example by nutrients being washed through the soil in regular cycles. Patterns of organisms can also be formed by uneven distribution of nutrients or toxins.


Markov Chain Random Walk Cellular Automaton Stochastic Differential Equation Diffusion Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.College of Natural ScienceMichigan State UniversityEast LansingUSA
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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