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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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