Extinction in two species nonautonomous nonlinear competitive system

Fengde Chen, Xiangdong Xie, Zhanshuai Miao and Liqiong Pu

Applied Mathematics and Computation, 2016, vol. 274, issue C, 119-124

Abstract: A two species nonautonomous nonlinear competitive system is studied in this paper. It is shown that if the coefficients are continuous, bounded above and below by positive constants and satisfy certain inequalities, then one of the components will be driven to extinction while the other one will stabilize at the certain positive solution of a nonlinear single species model. Our result not only generalizing but also improving the result of Li and Chen (2006).

Keywords: Extinction; Nonlinear; Competition; Nonautonomous; Fluctuation lemma (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315014198
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:119-124

DOI: 10.1016/j.amc.2015.10.068

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().