一类多分子反应模型的定性分析  

QUALITATIVE ANALYSIS OF A MULTIMOLECULES MODEL

作　　者：刘德明[1] 朴仲铉[1] 

机构地区：[1]沈阳师范学院

出　　处：《高校应用数学学报（A辑）》1990年第2期193-201,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

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].

关 键 词：多分子反应 微分方程 极限环 

分 类 号：O175.12[理学—数学]