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Periodic Solutions of a Discrete Time Predator-Prey System

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Abstract

In this paper, we discuss a discrete predator-prey system with a non-monotonic functional response, which models the dynamics of the prey and the predator having non-overlapping generations. By using the coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solutions.

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Authors and Affiliations

  1. Department of Applied Mathematics, Tongji University, Shanghai, 200092, China

    Yong-li Song

  2. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Mao-an Han

Authors
  1. Yong-li Song
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  2. Mao-an Han
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Correspondence to Yong-li Song.

Additional information

Supported by Program for New Century Excellent Talents in University (NCET-04-0388) and Shanghai Leading Academic Discipline Project (T0401).

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Song, Yl., Han, Ma. Periodic Solutions of a Discrete Time Predator-Prey System. Acta Math. Appl. Sin, Engl. Ser. 22, 397–404 (2006). https://doi.org/10.1007/s10255-006-0314-7

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  • DOI: https://doi.org/10.1007/s10255-006-0314-7

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