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Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances

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Chen F., Chen X., Huang S.

Open Mathematics

2016

tom 14

nr 1

1157-1173

A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006)684-690]. Numeric simulations are carried out to show the feasibility of our results.

Ograniczanie wyników

1 Open Mathematics

1 Chen F.

1 Chen X.

1 Huang S.

1 2016

Wyniki wyszukiwania

Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances