Bulletin of Mathematical Biology

, 59:107

Integrodifference models for persistence in fragmented habitats

  • R. W. Van Kirk
  • M. A. Lewis

DOI: 10.1007/BF02459473

Cite this article as:
Van Kirk, R.W. & Lewis, M.A. Bltn Mathcal Biology (1997) 59: 107. doi:10.1007/BF02459473


Integrodifference models of growth and dispersal are analyzed on finite domains to investigate the effects of emigration, local growth dynamics and habitat heterogeneity on population persistence. We derive the bifurcation structure for a range of population dynamics and present an approximation that allows straighforward calculation of the equilibrium populations in terms of local growth dynamics and dispersal success rates. We show how population persistence in a heterogeneous environment depends on the scale of the heterogeneity relative to the organism's characteristic dispersal distance. When organisms tend to disperse only a short distance, population persistence is dominated by local conditions in high quality patches, but when dispersal distance is relatively large, poor quality habitat exerts a greater influence.

Copyright information

© Society for Mathematical Biology 1997

Authors and Affiliations

  • R. W. Van Kirk
    • 1
  • M. A. Lewis
    • 1
  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA
  2. 2.The Henry's Fork FoundationAshton