Mathematical analysis on fish shoaling by a density-dependent diffusion model

Hiromi Seno, Katsuki Nakai

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Shoaling by juveniles of a cichlid fish Lepidiolamprologus elongatus in Lake Tanganyika, central Africa, is considered by means of a mathematical model with a density-dependent diffusion equation. The spatial size of shoaling is assumed to be determined by the balance between two counteracting forces: aggregation and dispersion. The data on the spatial size of shoaling and the group size are analyzed by the model. Then those tendencies of aggregation and dispersion are quantified. The result gives qualitative information to understand shoaling.

Original languageEnglish
Pages (from-to)149-157
Number of pages9
JournalEcological Modelling
Issue number1-3
Publication statusPublished - 1995 May


  • Aggregation
  • Diffusion
  • Fish
  • School organization


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