A Class of Kolmogorov’s Ecological System with Prey Having Constant Adding Rate

Wang Cheng-wen

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Wang Cheng-wen. A Class of Kolmogorov’s Ecological System with Prey Having Constant Adding Rate[J]. Applied Mathematics and Mechanics, 1992, 13(4): 327-334.

Citation:

Wang Cheng-wen. A Class of Kolmogorov’s Ecological System with Prey Having Constant Adding Rate[J]. Applied Mathematics and Mechanics, 1992, 13(4): 327-334.

Citation:

Wang Cheng-wen. A Class of Kolmogorov’s Ecological System with Prey Having Constant Adding Rate[J]. Applied Mathematics and Mechanics, 1992, 13(4): 327-334.

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A Class of Kolmogorov’s Ecological System with Prey Having Constant Adding Rate

Wang Cheng-wen

Department of Applied Mathematics, Shandong Institute of Mining and Technology, Taian, Shangdong

Received Date: 1991-03-02
Publish Date: 1992-04-15

Abstract

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.
- ecological system,
- differential equations,
- global stability,
- limit cycle,
- existence,
- uniqueness

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References(6)

References

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