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Existence and global stability of positive periodic solutions of an \(n\)-species periodic Lotka-Volterra competition system with feedback control and deviating arguments. (English) Zbl 1043.34075

The authors study the existence and global stability of positive periodic solutions of an \(n\)-species periodic Lotka-Volterra competition system with feedback control and several deviating arguments. They derive a set of sufficient conditions for the existence of a unique positive periodic solution which is globally asymptotically stable by using the method of coincidence degree and Lyapunov function, and they obtain some new results. They give an application to illustrate that the results improve and generalize known results.
Reviewer: Jihong Dou (Xian)

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
92D25 Population dynamics (general)
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