Journal of Mathematical Biology

, Volume 6, Issue 3, pp 265–283

Temperature-dependent predator-prey mite ecosystem on apple tree foliage

  • D. J. Wollkind
  • J. A. Logan

DOI: 10.1007/BF02547801

Cite this article as:
Wollkind, D.J. & Logan, J.A. J. Math. Biology (1978) 6: 265. doi:10.1007/BF02547801


The biological control of the McDaniel spider mite, which is a pest on apple tree foliage, by a predacious mite species, which feeds upon it, is represented by a continuous-discrete time hybrid model incorporating temperature effects explicityland mite metamorphosis implicitly. The results of this model can be shown to provide good agreement when compared with relevant field data.

Key words

Predator-prey ecosystemMite (Acarina)TemperatureSingular perturbationSimulation

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • D. J. Wollkind
    • 1
  • J. A. Logan
    • 2
  1. 1.Department of Pure and Applied MathematicsWashington State UniversityPullmanUSA
  2. 2.Department of EntomologyNorth Carolina State UniversityRaleighUSA
  3. 3.Department of Zoology and EntomologyColorado State UniversityFort CollinsUSA