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Predator-prey relationships: Indiscriminate predation

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Abstract

The Gurtin and Levine model5 is studied in this paper under the assumption that the fecundity of prey depends on age as well as on the total population sizes of prey and predators. The purpose of this study is to see the effect of this density dependence on the stability criteria for the equilibria of the model equations. It is shown that there are cases when, due to density dependence, the model which is originally neutrally stable becomes stable.

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Author notes

  1. M. Saleem

    Present address: Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, Kanpur, India

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  1. Department of Mathematics, The University of Arizona, 85721, Tucson, AZ, USA

    M. Saleem

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  1. M. Saleem
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Saleem, M. Predator-prey relationships: Indiscriminate predation. J. Math. Biology 21, 25–34 (1984). https://doi.org/10.1007/BF00275220

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  • DOI: https://doi.org/10.1007/BF00275220

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