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Simulations of the heterogeneity of environments by finite element methods

Author

Listed:
  • Kaipio, J.P.
  • Tervo, J.
  • Vauhkonen, M.

Abstract

The dependence of total population and population distribution on the spatial distribution of the intrinsic growth factor is studied. The existence of solutions of a nonlinear single species and the corresponding predator-prey model is established. The solutions are then approximated by the Galerkin finite element method. Simulations are performed to show, for instance, how (under the Dirichlet boundary condition) a more favorable distribution of growth factor for the prey in a predator-free situation may well be less favourable than another distribution under the pressure of the predator.

Suggested Citation

  • Kaipio, J.P. & Tervo, J. & Vauhkonen, M., 1995. "Simulations of the heterogeneity of environments by finite element methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 155-172.
    • Handle: RePEc:eee:matcom:v:39:y:1995:i:1:p:155-172
    DOI: 10.1016/0378-4754(95)95212-4
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