A CLASS OF KOLMOGOROV'S ECOLOGICAL SYSTEM WITH PREY HAVING CONSTANT ADDING RATE  

作　　者：王成文 

机构地区：[1]Department of Applied Mathematics, Shandong Institute of Mining and Technology, Taian, Shangdong

出　　处：《Applied Mathematics and Mechanics(English Edition)》1992年第4期345-352,共8页应用数学和力学（英文版）

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

摘　　要：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.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.

关 键 词：ecological system differential equations global stability limit cycle existence UNIQUENESS 

分 类 号：O3，O1[理学—力学]