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Transient behavior of population density with competition for resources

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Abstract

In this paper we derive a perturbation expansion of some nonlinear diffusion equations proposed by J. G. Skellam and M. Kimura. The solution is derived by converting the differential equations into integral equations by means of the Green's function for the diffusion equation.

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Authors and Affiliations

  1. University of Delaware, Newark, Delaware

    W. A. Thompson Jr. & G. H. Weiss

  2. Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Maryland

    W. A. Thompson Jr. & G. H. Weiss

Authors
  1. W. A. Thompson Jr.
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  2. G. H. Weiss
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Additional information

This research was supported in part by the Office of Naval Research under Contract Nonr-595(17).

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Thompson, W.A., Weiss, G.H. Transient behavior of population density with competition for resources. Bulletin of Mathematical Biophysics 25, 203–211 (1963). https://doi.org/10.1007/BF02478278

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  • DOI: https://doi.org/10.1007/BF02478278

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