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.
@article{bwmeta1.element.doi-10_1515_math-2016-0099,
author = {Fengde Chen and Xiaoxing Chen and Shouying Huang},
title = {Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {1157-1173},
zbl = {1357.34085},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0099}
}
Fengde Chen; Xiaoxing Chen; Shouying Huang. Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances. Open Mathematics, Tome 14 (2016) pp. 1157-1173. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0099/