摘要
In this paper, stability and Hopf bifurcation of a nonlinear advertising ca- pital model with time delayed are studied. By analyzing the change of delay, we obtain several sufficient conditions on stable and unstable properties. When delay passes a critical value, Hopf bifurcation may appear. Furthermore, the direction and stability of bifurcating periodic solutions are investigated by normal form and center manifold theory. Additionally, we also have some discussion about the model with continuous time delay.
In this paper, stability and Hopf bifurcation of a nonlinear advertising ca- pital model with time delayed are studied. By analyzing the change of delay, we obtain several sufficient conditions on stable and unstable properties. When delay passes a critical value, Hopf bifurcation may appear. Furthermore, the direction and stability of bifurcating periodic solutions are investigated by normal form and center manifold theory. Additionally, we also have some discussion about the model with continuous time delay.
