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Multiparameter bifurcation diagrams in predator-prey models with time lag

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Abstract

A predator-prey model is considered in which prey is limited by the carrying capacity of the environment, and predator growth rate depends on past quantities of prey. Conditions for stability of an equilibrium, and its bifurcation are established taking into account all the parameters.

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Authors and Affiliations

  1. Institute of Computing and Automation of the Hungarian Academy of Science, H-1521, Budapest, Hungary

    A. Farkas

  2. School of Mathematics, Budapest University of Technology, H-1521, Budapest, Hungary

    M. Farkas & G. Szabó

Authors
  1. A. Farkas
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  2. M. Farkas
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  3. G. Szabó
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Farkas, A., Farkas, M. & Szabó, G. Multiparameter bifurcation diagrams in predator-prey models with time lag. J. Math. Biology 26, 93–103 (1988). https://doi.org/10.1007/BF00280175

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  • DOI: https://doi.org/10.1007/BF00280175

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