一类具有时滞的Gierer-Meinhardt激活-抑制系统的稳定性和Hopf分岔

STABILITY AND HOPF BIFURCATION OF A CLASS OF GIERER-MEINHARDT ACTIVATION-SUPPRESSION SYSTEMS WITH TIME DELAY

本文考虑具有Gierer-Meinhardt激活-抑制系统,并分析系统正平衡点的稳定性和Hopf分支以及Hopf分岔的方向。利用Matlab软件包对所获得的理论结果给出了适当的数值验证。

This paper considers the gierer-meinhardt activation-suppression system and analyzes the stability of the positive equilibrium point, Hopf branch and Hopf bifurcation direction of the system.