一类多分子反应微分方程模型的闭轨的存在性  

Existence of Closed Orbits for a Differential Equation Model Concernimg Multi-Molecule Reactions

作　　者：董士杰[1] 徐瑞[1] 阳平华[1] 

机构地区：[1]军械工程学院数学室,石家庄050003

出　　处：《生物数学学报》1997年第S1期418-423,共6页Journal of Biomathematics

摘　　要：本文讨论了一类多分子生化反应模型：的闭轨存在性，其中p,q∈N，q≥2，α＞0我们将具体指出当α在一定条件下系统无闭轨或从Hopf分枝中产生稳定的极限环．In this paper，the existence of closed orbits for the biochemical reaction model is discussed：By using the ualitative theory of ordinary differential equations，the following results are ob-tained: There exists a costant a such that if a,then system (2) has a stable limit cycle;if a ＞a_o or 0＜a＜a_1,then system(2)has no limit cycle,where.Our results contains all the results in Ref．[5] and some results in Ref.［2]-[4].

关 键 词：闭轨 极限环 细焦点 HOPF分枝 

分 类 号：O175[理学—数学]