摘要
对一类非自治竞争Lotka-Volterra系统,其相互作用系数为非负常数,S.Ahmad和A.CLazer研究了该系统并得到结果:在一定条件下,系统的第n个种群趋于灭绝而前n-1个种群强持续生存.本文我们讨论一类较一般的非自治竞争Lotka-Volterra系统,其相互作用系数为一类连续函数,得到同样结果.
S. Ahmad and A. C. Lazer discussed a nonautonomous competitive Lotka-Volterra system in which all interspecific and intraspecific interaction coefficients are nonnegative constants, and obtained that under certain conditions the n-th species is driven to extinction while the first n -1 species are strong persistence. In this paper, we extend this result to a somewhat more general system in which all interspecific and intraspecific interaction coefficients are a class of continuous functions.
出处
《生物数学学报》
CSCD
2004年第2期141-148,共8页
Journal of Biomathematics
基金
This research is supported by the National Natural Science Foundation of China (10171056)
