摘要
本文提出一类反应步骤为(■)+A_1→2A_1,(■)+A_2→2A_2,2A_1+A_2→3A_2,A_1→O(损耗),A_2→P(产品)的三分子反应数学模型,并且获得一个全局稳定的结果。
In this paper, we considered a nonlinear matematical model of the reactions of trimolecular in biomathematics:
THEOREM If l>a>0, l>b + k>k(l- a2) then the model has only one global stable equilibrium point (p, b + kp2) in the open unit square, where p is the only real root of the algebraic equation k2p3+ (kb + l)p- a = 0.
For the other cases of a, b, k the model has either only one non-global stable equilibrium point or no equilibrium point in the open unit square.
出处
《黑龙江大学自然科学学报》
CAS
1989年第2期23-25,共3页
Journal of Natural Science of Heilongjiang University
关键词
三分子反应
全局稳定性
极限环
the reactrons of trimoleculav,w-limit se.t, global stabilit)r,a limitcycle
