Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics (Q1765437)

A nonlinear delay differential equation which arises in diseases involving respiratory disorders is considered. The authors prove that the unique positive periodic solution of the corresponding ordinary equation which is also a positive periodic solution of the delay equation is a global attractor of all positive solutions of the delay equation. They conclude that, under adequate impulsive periodic controls, the delay model preserves the periodicity of the nonimpulsive delay model.