Journal of Mathematical Biology

, Volume 18, Issue 1, pp 89–90 | Cite as

On a criterion for survival of species in models governed by difference equations

  • V. Hutson
  • W. Moran
  • G. T. Vickers
Article
Received:

Abstract

The difficulty of deciding on the survival of species in models governed by difference equations is pointed out. We show that a recently proposed criterion may overestimate the range of parameter values for which survival is assured.

Key words

Difference equations Predator-prey equations Persistence of species Cooperativeness 
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References

  1. 1.
    Hutson, V., Moran, W.: Persistence of species obeying difference equations. J. Math. Biol. 15, 203–213 (1982)Google Scholar
  2. 2.
    Schumacher, K.: No escape regions and oscillations in second order predator-prey recurrences. J. Math. Biol. 16, 221–231 (1983)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • V. Hutson
    • 1
  • W. Moran
    • 2
  • G. T. Vickers
    • 1
  1. 1.Department of Applied MathematicsThe UniversitySheffieldUK
  2. 2.Department of Pure MathematicsUniversity of AdelaideAdelaide

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