具有大小结构捕食模型平衡解的渐近稳定性

Asymptotical stability for stationary solutions of a kind of predator-prey population model with size structure

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.

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.