摘要
本文研究了一类多分子反应模型: dx/dt=1-xy^q dx/dt=αy(xy^(q-1)-1)(α>0,q≥2)(E)结果是,存在有α~*∈(1/(q-1),α_0],使得当a≤1/(q-1)时,或α≥α~*时,(E)没有极限环,当1/q-1<α<α~*时,(E)有唯一的稳定极限环.其中 α_0=1/(q-1)[q^q/(q^q-(q-1)^(q-1))]~q 本文包含了文[2]的所有结果,并且部分给果优于文[2]。
In this paper, we studied a mullimolccules model: dx/dt = 1-xyq dy/dt =ay(xyq-1-1) We obtained the following result. There exists an a∈ (l/(q - l),ao)such that if α∈ (l/(q-1),α), then(E) has a unique stable limit cycle; if α≥ or α≤1/(q-1), then (E) has no limit cycle.This paper contains all the results in article [2], and some results are better than those in article [2].
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第2期193-201,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
