Permanence and stability in non-autonomous predatorprey LotkaVolterra systems with feedback controls ?
The main purpose of this article is considering whether or not the feedback controls have an influence on a non-autonomous predatorprey LotkaVolterra type system. General criteria on permanence are established, which is described by an integral form and independent of some feedback controls. By constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the global stability of any positive solution to the model.
permanence lotkavolterra system feedback control lyapunov functional global stability predator-prey