一类生化反应模型的定性分析  

The Quantitative Analysis of One Class Bio-Chemical Reaction

作　　者：李林[1] 党新益[2] 

机构地区：[1]北京石油化工学院,北京1026000 [2]西北建筑工程学院,西安710061

出　　处：《生物数学学报》1997年第1期75-80,共6页Journal of Biomathematics

摘　　要：本文讨论了Babloyantz-Hiernaux生化反应模型及其特殊情况下的Glerer-Meinhardt数学模型，得到了前者的平衡位置的局部稳定位和后者的极限环的存在性即振荡反应的存在性以及其平衡位置的大范围稳定性.In this paper, the authors deal with a 3-dimensional mathematical model on one class bio-chemical reaction and its one special case——Gierer-Meinhardt model,We obtain some results as following, the stead-state of the 3-dimensional model is stable under some conditions.The existence of limit cycle of Gierer-Meinhardt model and the global asymptotically stability(in the first quadrant on phase plane) of the stead-state are discussed. The results of this paper are finer than those of paper〔3〕.

关 键 词：生化反应模型 平衡态 稳定性 定性分析 数学模型 

分 类 号：Q503[生物学—生物化学] Q－332