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Periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response

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Abstract

The existence of a positive periodic solution for the semi-ratio-dependent predator-prey system with Holling IV functional response is established by using the continuous theorem of coincidence degree theory. And a set of easily veribible sufficient conditions is derived by constructing a Lyapunov function. Numerical simulations are also exhibited to illustrate the validity of the results in this paper.

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Authors and Affiliations

  1. Department of Mathematics, Qingdao Technological University, Qingdao, 266033, China

    Lijie Zhang & Chun Lu

Authors
  1. Lijie Zhang
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  2. Chun Lu
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Correspondence to Lijie Zhang.

Additional information

This work is supported by Scientific Research Fund of Heilongjiang Provincial Education Department of PR China (NO.11531428).

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Zhang, L., Lu, C. Periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response. J. Appl. Math. Comput. 32, 465–477 (2010). https://doi.org/10.1007/s12190-009-0264-3

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  • DOI: https://doi.org/10.1007/s12190-009-0264-3

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