群体竞技体育活动常微分方程模型的稳定性与Hopf分支

The Asymtotic Stability and Hopf Bifurcation of the Mass Sports Activities

考虑到群体竞技体育活动的预测建立了常微分方程的模型 ,并利用 Hopf分歧理论证明了群体竞技体育活动常微分方程模型在非负平衡点一定条件下小振幅周期解的存在性及在正平衡点的渐近稳定性 .

In this paper, the model of ordinary differenatial equation of mass sports activites is set up and prove the existence of periodic solutions it under some conditions are discussed of unnegative equibrium points and the asymtotic stability of the positive equibrium points.