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Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics. (English) Zbl 1070.34089
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.

MSC:
34K13 Periodic solutions to functional-differential equations
34K45 Functional-differential equations with impulses
34K60 Qualitative investigation and simulation of models involving functional-differential equations
92C30 Physiology (general)
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