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 g...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.展开更多
In this paper, for a class of differential equation model in parameter space, the authors have studied boundedness of solution, stability of equilibrium point,existence and uniqueness of limit cycle.
基金This paper was financially supported by the Chinese National Youth Natural Science Funds.
文摘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.
文摘In this paper, for a class of differential equation model in parameter space, the authors have studied boundedness of solution, stability of equilibrium point,existence and uniqueness of limit cycle.
