一类高维资源竞争系统的持久性

本文考虑了一类高维资源竞争系统,系统中的种群具有相互影响的因素,且每一不同种群有时变收获率,当影响常数m<1时,证明了种群的持续性,并且持续性不依于收获率。当m=1时,我们得到种群绝灭的充分条件,且在此情形,种群的持续性不依于相应的收获率。这样推广了1]的主要结果。

The Persistence of A System of Higher Dimension in the Competition for A Nutrient

In this paper, a system of higher dimension in the competition for a nutrient is considered. The species themself in the system have facfors of mutual interference and there is a time varying harvest rate on every different species. When the interference constantm is less than one, the persistence property of the species is proven, and this property does not depend on the values of harvest rates. When m is equal to one, the sufficient conditions for extinction of the species are given, and in this case, the persistence of the spelies depends on the values of harvest rates of corresponding species. The main results in 1] are extended.