Extinction in nonautonomous Lotka-Volterra competitive system with pure-delays and feedback controls. (English) Zbl 1163.45301
Summary: In this paper, the extinction of species for general \(n\)-species nonautonomous Lotka-Volterra competitive system with pure-delays and feedback controls is studied. New sufficient conditions of which a part of the \(n\) species is driven to extinction are established by using the method of multiple Lyapunov functionals and by developing a new analysis technique. The numerical simulation shows that in a competitive system by introducing proper feedback controls we can make an extinct species become permanent.
MSC:
| 45D05 | Volterra integral equations |
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