Permanence and stability in multi-species non-autonomous Lotka–Volterra competitive systems with delays and feedback controls☆

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Abstract

In this paper, we consider a multi-species Lotka–Volterra type competitive system with delays and feedback controls. A general criteria on the permanence is established, which is described by integral form and independent of feedback controls. By constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for global stability of any positive solution to the model.

Keywords

Competitive system
Delay
Feedback control
Permanence
Global stability

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This work was partially supported by the Natural Science Foundation of China under the contact 10531030 and partially by NCET.

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