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Extinction in a nonautonomous competitive system with toxic substance and feedback control

Journal of Applied Analysis and Computation, ISSN: 2158-5644, Vol: 9, Issue: 5, Page: 1838-1854
2019
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Article Description

This paper deals with a nonautonomous competitive system with infinite delays and feedback control. Sufficient conditions for the permanence of the system are first obtained. By constructing a suitable Lyapunov function, we obtain the sufficient conditions which guarantee that one of the components is driven to extinction. Our result shows that feedback control have an influence on the extinction of the system. Examples together with their numerical simulations illustrate the feasibility of our main results.

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