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生物传染病模型中平衡点的直接判别法
引用本文:张朝阳,张剑峰.生物传染病模型中平衡点的直接判别法[J].福建农林大学学报(自然科学版),1993(3).
作者姓名:张朝阳  张剑峰
作者单位:福建农学院基础部,福州大学数学系 福州 350002
摘    要:对生物一类传染病模型dx/dt=ax+by+p(x,y),dy/dt=Q(x,y)(ab≠0)的平衡点(0,0)给出了直接判别定理,比现成的定理简捷些。并给出实例,对两种判别法的简捷程度作了比较。

关 键 词:生物定性系统  平衡点  直接判别法

A Direct Criterion of the Equilibrium in the Mathematics Model of Biological Infection
Zhang Chaoyang Zhang Jianfeng.A Direct Criterion of the Equilibrium in the Mathematics Model of Biological Infection[J].Journal of Fujian Agricultural and Forestry University,1993(3).
Authors:Zhang Chaoyang Zhang Jianfeng
Institution:Zhang Chaoyang~1 Zhang Jianfeng~2
Abstract:This paper gives a direct criterion theorem to the equilibrium (0,0) of the mathematic model of a class of biological infection dx/dt=ax+by+P (x,y), dy/dt=Q(x,y)(ab≠0). The theorem is simpler than the present one. We also provide examples to compare the simple degree of the two criterion.
Keywords:biologic qualitative system  equilibrium  direct criterion
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