摘要
本文给出了n维Lotka-Volterra合作系统的有解条件及其局部渐近稳定性和全局稳定性的判别法则。
In this paper, are given two criteria of local asymptotic stability about the positive equilibrium point X* of the model(1): ①If the matrix A in expression (2) satisfies | A | | A1j | <0 (j=1, 2, …, n), then X* is of local asymptotic stability. ②If -A is a M-matrix, i. e. -A = sI-B,
B≥0,s>p(B), and B is an irreducible matrix, then X* is of local asymptotic stability.
出处
《北方工业大学学报》
1992年第1期44-52,共9页
Journal of North China University of Technology
关键词
L-V合作系统
稳定性
存在性
stability, M-matrices/n-dimensional Lotka-Volterra model.
