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《武汉工程大学学报》[ISSN:1674-2869/CN:42-1779/TQ]

Title:: Asymptotical stability for stationary solutions of a

kind of
predatorprey population model with size structure

Author(s):: XIAO Lifang1; DUAN Mei2; 1.School of Computer Science and Engineering,Wuhan

Institute of Technology, Wuhan 430205,China;
2.Jinkou Middle School, Wuhan 430209, China

摘要:: 讨论一类具有大小结构捕食系统模型平衡解的存在问题及其

渐近稳定性.首先,用函数的单调性证明平衡解的存在性;然后,利用

扰动函数的思想讨论平衡解的渐近稳定性;最后,在特殊情况下,讨

论平衡解是二维中心流形.

Abstract:: This paper considered the existence and

asymptotical stability for stationary solutions of

predatorprey population model with size structure.

First, the paper presents a proof of existence of the

stationary solutions by monotone functions. Second, it

is discussed the asymptotical stability of stationary

solutions with pertub functions. At last ,in the

especial case, the paper presents the fact that the

stationary solutions are the twodimensional center

manifold.

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