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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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The regulation of inhomogeneous populations

Gurney, William and Nisbet, R. (1975) The regulation of inhomogeneous populations. Journal of Theoretical Biology, 52 (2). pp. 441-457. ISSN 0022-5193

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Abstract

A number of authors have argued that dispersal may play a key role in the regulation of populations of some species. In this paper we examine, on an ecological time scale, mechanisms whereby a population existing in an inhomogeneous environment may use dispersal to regulate its size below the carrying capacity set by the supply of available nutrients. We show that dispersal produced by wholly random motion is incapable of exerting any stabilizing influence, but that the introduction of a suitable non-linearity into the dispersal behaviour of a species whose characteristics are otherwise wholly linear can lead to stabilization under a wide range of conditions.