Simple Difference Equation Models

  • Clark Jeffries
Part of the Mathematical Modelling book series (MMO, volume 3)


The rate of energy transfer between ecosystem compartments either does or does not depend upon the current state of the recipient compartment. In the former case the compartments are said to be involved in a predation interaction. Dairy cattle grazing grass, mosquitoes drawing blood from humans, ravens comsuming carrion, and soil bacteria digesting detritus are all examples of predator-prey pairs in predation interactions. Energy transfer between ecosystem compartments which is not a predation interaction is called detritus donation. The donation of energy from the moss compartment to the peat compartment in a model of a northern bog would be an example of detritus donation. This chapter concerns modeling a predation interaction at the simplest level.


Positive Orthant Predation Interaction White Marble Black Marble Ecosystem Compartment 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [J]
    C. Jeffries, Probabilistic limit cycles, in Mathematical Problems in Biology, ed. P. van den Driessche, Springer, Berlin, 1974, pages 123–131.Google Scholar

Copyright information

© Birkhäuser Boston 1989

Authors and Affiliations

  • Clark Jeffries
    • 1
  1. 1.Department of Mathematical SciencesClemson UniversityClemsonUSA

Personalised recommendations