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A class of Kolmogorov's ecological system with prey having constant adding rate

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Abstract

In this paper, by using the qualitative method, we study a class of Kolmogorov's ecological system with prey having constant adding rate, discuss the relative position and the character of the equilibriums, the global stability of the practical equilibriums and give a group of conditions for the boundedness of the solutions, the nonexistence, the existence and the uniqueness of the limit cycle of the system. Most results obtained in papers [1] and [2] are included or generalized.

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References

  1. Chen Jun-ping and Zhang Hong-de, The qualitative analysis of two species predator-prey model with Holling's type III functional response,Appl. Math. and Mech. (English Ed.),7, 1 (1986), 77-86.

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Authors and Affiliations

  1. Department of Applied Mathematics, Shangong Institute of Mining and Technology, Taian, Shangdong

    Wang Cheng-wen

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  1. Wang Cheng-wen
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Additional information

Communicated by Yang Xu-can

This paper was financially supported by the Chinese National Youth Natural Science Funds.

This Paper was reported at the Chinese 2nd National Biomathematics Academic Conference. (May, 1990, Wuhan, Hubei)

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Cheng-wen, W. A class of Kolmogorov's ecological system with prey having constant adding rate. Appl Math Mech 13, 345–352 (1992). https://doi.org/10.1007/BF02451420

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  • DOI: https://doi.org/10.1007/BF02451420

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