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

Fengde Chen, Xiaoxing Chen, and Shouying Huang. "Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances." Open Mathematics 14.1 (2016): 1157-1173. <http://eudml.org/doc/288023>.

@article{FengdeChen2016,
abstract = {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.},
author = {Fengde Chen, Xiaoxing Chen, Shouying Huang},
journal = {Open Mathematics},
keywords = {Extinction; Competition; Functional response; Phytoplankton system; extinction; competition; functional response; phytoplankton system},
language = {eng},
number = {1},
pages = {1157-1173},
title = {Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances},
url = {http://eudml.org/doc/288023},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Fengde Chen
AU - Xiaoxing Chen
AU - Shouying Huang
TI - Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1157
EP - 1173
AB - 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.
LA - eng
KW - Extinction; Competition; Functional response; Phytoplankton system; extinction; competition; functional response; phytoplankton system
UR - http://eudml.org/doc/288023
ER -