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Limit cycles in periodically perturbed population systems

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Abstract

A perturbation method is proposed to calculate approximately the limit cycle type nonequilibrium steady-state resulting from periodic perturbation of coefficients of stable population systems; the two species Lotka-Volterra competition system is explicity studied and the results are formulated for general multi-species population systems. Avoidance of competitive or other types of exclusion of species in a periodic environment is indicated.

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Authors and Affiliations

  1. School of Mathematical Sciences, The Flinders University of South Australia, 5042, Bedford Park, SA, Australia

    K. Gopalsamy

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  1. K. Gopalsamy
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Gopalsamy, K. Limit cycles in periodically perturbed population systems. Bltn Mathcal Biology 43, 463–485 (1981). https://doi.org/10.1007/BF02459434

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  • DOI: https://doi.org/10.1007/BF02459434

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