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The qualitative analysis of two species predator-prey model with Holling's type III functional response

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Abstract

This paper is denoted to the qualitative analysis of two species predator-prey model with Holling's type III functional response. Conditions for the global stability of nontrivial equilibrium points and conditions for the existence and uniqueness of limit cycles around the positive equilibrium point are obtained. The biological interpretations of these conditions are discussed. The authors believe that the conditions established in this paper are new to literature.

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References

  1. Kazarinoff, N. D. and P. van Den Driessche, A model predator-prey system with functional response,J. Mathematical Biosciences (1978), 125–134.

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Authors and Affiliations

  1. Chongqing University, Chongqing

    Chen Jun-ping

  2. Nanchung Teachers College, Nanchung

    Zhang Hong-de

Authors
  1. Chen Jun-ping
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  2. Zhang Hong-de
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Additional information

Communicated by Yang Xu-can

This paper was reported at the International Conference on Ordinary Differential Equations, Fuzhou, China, June, 1985.

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Jun-ping, C., Hong-de, Z. The qualitative analysis of two species predator-prey model with Holling's type III functional response. Appl Math Mech 7, 77–86 (1986). https://doi.org/10.1007/BF01896254

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  • DOI: https://doi.org/10.1007/BF01896254

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