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THE GLOBAL STABILITY OF A DIFFERENTIAL DELAY MODEL

THE GLOBAL STABILITY OF A DIFFERENTIAL DELAY MODEL
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摘要 The Gierer-Meinhardt's Model with a time delaydx(t)/dt=Co-bx(t)+cx2(t-τ)/y(t)(1+kx2(t-τ)),dy(t)/dt=x2(t)-ay(t).is studied. It is proved that there exists a Hopf bifurcation. Some conditions are established under which the equilibrium is globally stable. The Gierer-Meinhardt's Model with a time delaydx(t)/dt=Co-bx(t)+cx2(t-τ)/y(t)(1+kx2(t-τ)),dy(t)/dt=x2(t)-ay(t).is studied. It is proved that there exists a Hopf bifurcation. Some conditions are established under which the equilibrium is globally stable.
作者 李林
出处 《Annals of Differential Equations》 2002年第3期226-234,共9页 微分方程年刊(英文版)
关键词 differential delay equations EQUILIBRIUM STABILITY Hopf bifurcation differential delay equations, equilibrium, stability, Hopf bifurcation
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