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A competition model for a seasonally fluctuating nutrient

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Abstract

A model of two species consuming a single, limited, periodically added resource is discussed. The model is based on chemostat-type equations, which differ from the classical models of Lotka and Volterra. The model incorporates nonlinear ‘functional response’ curves of the Holling or Michaelis-Menten type to describe the dependence of the resource-exploitation rate on the amount of resource. Coexistence of two species due to seasonal variation is indicated by numerical studies.

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Author notes

  1. S. B. Hsu

    Present address: Department of Applied Mathematics, National Chiao-Tung University, Hsin-Chu, Taiwan

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  1. Department of Mathematics, University of Utah, 84112, Salt Lake City, USA

    S. B. Hsu

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  1. S. B. Hsu
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Hsu, S.B. A competition model for a seasonally fluctuating nutrient. J. Math. Biology 9, 115–132 (1980). https://doi.org/10.1007/BF00275917

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  • DOI: https://doi.org/10.1007/BF00275917

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