Existence and Global Attractivity of Periodic Solution of A Logistic Model with Feedback Control

As everyone knows, Logistic equation is one of the most important model describing the dynamics of species population, and periodic phenomena are very popular in the nature. Based on the consideration of the control of the position of positive equilibrium and its stability, a Logistic model with periodic coefficients and feedback control is proposed in the present article. Sufficient conditions are derived for the existence, uniqueness and global attractivity of positive periodic solution for the proposed model.