Note on the permanence of a competitive system with infinite delay and feedback controls. (English) Zbl 1152.34366

Chen, Fengde; Li, Zhong; Huang, Yunjin

Nonlinear Anal., Real World Appl. 8, No. 2, 680-687 (2007).

Summary: Sufficient conditions are obtained for the permanence of a two species competitive system with infinite delay and feedback controls. It is shown that the controls can avoid the extinction of the species.

MSC:

34K12	Growth, boundedness, comparison of solutions to functional-differential equations
34C25	Periodic solutions to ordinary differential equations
92D25	Population dynamics (general)
34D20	Stability of solutions to ordinary differential equations
34D40	Ultimate boundedness (MSC2000)

Keywords:

nonautonomous; competition; feedback control; infinite delay; permanence

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