Nonlinear Delay-control of Hopf Bifurcation and Stability Switches in a Generlized Logistic Model

A generlized Logistic model with nonlinear delayed harvest controlling is considered. The conditions for the stability and local Hopf bifurcation of the equilibrium point are obtained. Numerical examples show that our control strategy can not only control the Hopf bifurcation of the system, but also control the stability switches phenomenon. These are all very useful for the survival of the population.