Extinction in Two-Species Nonlinear Discrete Competitive System

Joint Authors

Chen, Fengde
Pu, Liqiong
Miao, Zhanshuai
Xie, Xiangdong

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-04-20

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We propose a nonlinear discrete system of two species with the effect of toxic substances.

By constructing a suitable Lyapunov-type function, we obtain the sufficient conditions which guarantee that one of the components will be driven to extinction while the other will be globally attractive with any positive solution of a discrete equation.

Two examples together with their numerical simulations illustrate the feasibility of our main results.

The results not only improve but also complement some known results.

American Psychological Association (APA)

Pu, Liqiong& Xie, Xiangdong& Chen, Fengde& Miao, Zhanshuai. 2016. Extinction in Two-Species Nonlinear Discrete Competitive System. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103374

Modern Language Association (MLA)

Pu, Liqiong…[et al.]. Extinction in Two-Species Nonlinear Discrete Competitive System. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103374

American Medical Association (AMA)

Pu, Liqiong& Xie, Xiangdong& Chen, Fengde& Miao, Zhanshuai. Extinction in Two-Species Nonlinear Discrete Competitive System. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103374

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1103374