Global Attractivity of a Discrete Model With Delay and Feedback Control
In recent years,great attention has been paid to the single species or multi species system of differential equations with feed-back control.However,the study of single species or multi species system of difference equations with feedback control is less.Re-cently,a non-autonomous system with delay and feedback control were discussed.The results of research shows that one can choose suit-able controls to make the species coexistence in the long time.In this paper,a single species discrete model with feedback control and delay is discussed.Using the differential equations comparison theorem and constructing the appropriate Lyapunov function,sufficient conditions for global attractivity of the single species is obtained.
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