Bulletin of Mathematical Biology

, Volume 49, Issue 4, pp 495–506 | Cite as

Logistic population growth under random dispersal

  • Henry C. Tuckwell
  • James A. Koziol
Article
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Abstract

Various diffusion processes employed for modelling logistic growth are briefly summarized. A discrete-time, discrete-state space stochastic process for population growth is proposed and analyzed with either Bose-Einstein or Maxwell-Boltzmann statistics for the distribution of offspring in available sites in a restricted region. A diffusion approximation is constructed, which differs from those previously employed. The logistic law is a natural deterministic analog of the diffusion process.

Keywords

Diffusion Approximation Logistic Growth Random Dispersal Exit Boundary Scripps Clinic 
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Copyright information

© Society for Mathematical Biology 1987

Authors and Affiliations

  • Henry C. Tuckwell
    • 1
  • James A. Koziol
    • 2
  1. 1.Department of MathematicsMonash UniversityClaytonAustralia
  2. 2.Department of Basic and Clinical ResearchResearch Institute of Scripps ClinicLa JollaU.S.A.

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