Random dispersal in theoretical populations View Full Text


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Article Info

DATE

1991-03

AUTHORS

J. g. Skellam

ABSTRACT

The random-walk problem is adopted as a starting point for the analytical study of dispersal in living organisms. The solution is used as a basis for the study of the expanson of a growing population, and illustrative examples are given. The law of diffusion is deduced and applied to the understanding of the spatial distribution of population density in both linear and two-dimensional habitats on various assumptions as to the mode of population growth or decline. For the numerical solution of certain cases an iterative process is described and a short table of a new function is given. The equilibrium states of the various analytical models are considered in relation to the size of the habitat, and questions of stability are investigated. A mode of population growth resulting from the random scattering of the reproductive units in a population discrete in time, is deduced and used as a basis for study on interspecific competition. The extent to which the present analytical formulation is applicable to biological situations, and some of the more important biological implications are briefly considered. More... »

PAGES

135-165

Journal

TITLE

Bulletin of Mathematical Biology

ISSUE

1-2

VOLUME

53

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02464427

DOI

http://dx.doi.org/10.1007/bf02464427

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1046798661


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