Linear and non-linear diffusion models applied to the behavior of a population of an intertidal snail

Jacob Jorné, Uriel N. Safriel

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The flux and continuity equations are presented for a non-linear diffusion of populations. The generalized diffusion-reaction equations are presented for both random and biased diffusion, where a bias is introduced toward the existing gradient of the population density. An ecological field experiment is presented and analyzed in light of the non-linear diffusion models. The dispersion of the population of intertidal snails near the Red Sea has been measured over a period of 20 months. The dispersion can be described by a one-dimensional random motion and the obtained diffusion coefficient 0·1 m2 day-1 is in good agreement with velocity and free path measurements of individual snails.

Original languageEnglish
Pages (from-to)367-380
Number of pages14
JournalJournal of Theoretical Biology
Volume79
Issue number3
DOIs
StatePublished - 7 Aug 1979
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology (all)
  • Immunology and Microbiology (all)
  • Agricultural and Biological Sciences (all)
  • Applied Mathematics

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