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DYNAMIC BEHAVIOURS OF AN AUTONOMOUS STAGE-STRUCTURED COMPETITIVE SYSTEMS WITH TOXIC EFFECT
Liqiong Pu,Xiangdong Xie
(School of Math. and Statistics, Hexi University, Zhangye 734000, Gansu, PR China;Dept. of Math., Ningde Normal University, Ningde 352300, Fujian, PR China)
DOI:
Abstract:
An autonomous stage-structured competitive systems with toxic effect is investigated in this paper. Sufficient conditions which guarantee the global attractivity of the system and the extinction of the partial species are obtained, respectively. Our results supplement and compliment one of the main results of Liu and Li [Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays, Abstract and Applied Analysis, Volume 2014, Article ID 689573, 15 pages].
Key words:  global attractivity; extinction; delay; toxic substance