一类生化反应模型的定性分析

The Quantitative Analysis of One Class Bio-Chemical Reaction

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〕.