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一个传染病动力学常微分方程的模型在正平衡点的小振幅周期解的不存性
引用本文:杨水龙.一个传染病动力学常微分方程的模型在正平衡点的小振幅周期解的不存性[J].山西师范大学学报,1994,8(3):16-20.
作者姓名:杨水龙
作者单位:山西师范大学数学系
摘    要:本文证明了一个传染病动力学常微分方程模型在正平稀点的渐近稳定性,并用HoPf分歧理论证明了在正平衡点不存在小振幅周期解.

关 键 词:特征方程  周期解

On the Non-Existence of the small Amplitude Peridc Solution of an Infectious Disease Dynmics Ordinary Differtial Equation at the Positive Epuilibrium Points
Yang Shuilong.On the Non-Existence of the small Amplitude Peridc Solution of an Infectious Disease Dynmics Ordinary Differtial Equation at the Positive Epuilibrium Points[J].Journal of Shanxi Teachers University,1994,8(3):16-20.
Authors:Yang Shuilong
Institution:Yang Shuilong
Abstract:In this Paper,we prove the acymptic stability of an infectious disease ,ty-namics ordinary differential equation at the positive equilibrium points and by use of the bifurcation theory prove that there exists no small amplitude peridic solution at the positive e-quilibrium points.
Keywords:Characteristic eauation Periodic solution  
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