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

• Autorzy: Fengde Chen , Xiaoxing Chen , Shouying Huang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Extinction; Competition; Functional response; Phytoplankton system

Kategorie tematyczne

• 34D23: Global stability
• 92D25: Population dynamics (general)
• 34D20: Stability

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1157-1173

Daty

wydano

2016-01-01

otrzymano

2016-09-16

zaakceptowano

2016-11-01

online

2016-12-30

Twórcy

autor

Fengde Chen

• College of Mathematics and Computer Sciences, Fuzhou University, Fuzhou, Fujian, 350202,

autor

Xiaoxing Chen

• College of Mathematics and Computer Sciences, Fuzhou University, Fuzhou, Fujian, 350202,

autor

Shouying Huang

• College of Mathematics and Computer Sciences, Fuzhou University, Fuzhou, Fujian, 350202,

Identyfikatory

DOI

10.1515/math-2016-0099