The effects of impulsive toxicant input on a population in a polluted environment

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	The effects of impulsive toxicant input on a population in a polluted environment
	Liu, B ; Chen, LS ; Zhang, YJ
	2003-09-01
发表期刊	JOURNAL OF BIOLOGICAL SYSTEMS
ISSN	0218-3390
卷号	11 期号:3 页码:265-274
摘要	In this paper, we investigate a single species model in a polluted closed environment with pulse toxicant input at fixed moment. We show that the population is extinct when the impulsive period is less than some critical value, otherwise the population is permanent, and the permanent condition also assure that there exists a unique positive periodic solution which is globally asymptotically stable. By comparing with the continuous system, we show that pulse toxicant input cause a periodic behavior in our system and oscillation of the solution. From the biological point of view, it is easy to protect species by changing impulsive period of the exogenous input of toxicant, and toxicant input amount, etc. Further, the effects of environmental noise on the population are studied by using numerical methods.
关键词	impulsive effect permanence extinction globally asymptotic stability environmental noise
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:000185975500004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18305
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, LS
作者单位	1.Anshan Normal Univ, Inst Biomath, Anshan 114005, Liaoning, Peoples R China 2.Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, B,Chen, LS,Zhang, YJ. The effects of impulsive toxicant input on a population in a polluted environment[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2003,11(3):265-274.
APA	Liu, B,Chen, LS,&Zhang, YJ.(2003).The effects of impulsive toxicant input on a population in a polluted environment.JOURNAL OF BIOLOGICAL SYSTEMS,11(3),265-274.
MLA	Liu, B,et al."The effects of impulsive toxicant input on a population in a polluted environment".JOURNAL OF BIOLOGICAL SYSTEMS 11.3(2003):265-274.