Harvesting on a stage-structured single population model with mature individuals in a polluted environment and pulse input of environmental toxin

doi:10.1016/j.biosystems.2009.05.004

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	Harvesting on a stage-structured single population model with mature individuals in a polluted environment and pulse input of environmental toxin
	Jiao, Jianjun 1,2; Yang, Xiaosong 1; Chen, Lansun 3
	2009-09-01
发表期刊	BIOSYSTEMS
ISSN	0303-2647
卷号	97 期号:3 页码:186-190
摘要	In the natural world, there are many species whose individual members have a life history that they take them with two distinct stages: immaturity and maturity. in particular, we have in mind mammalian populations and some amphibious animals. We improve the assumption of a single population as a whole. It is assumed that the immature individuals and mature individuals are divided by a fixed period. This paper concentrates on the study of a stage-structured single population model with mature individuals in a polluted environment and pulse input of environmental toxin at fixed moments. Furthermore, the mature individuals are harvested continuously. We show that the population goes extinct if the harvesting rate is beyond a critical threshold. Conditions for the extended permanence of the population are also examined. From the biological point of view, it is easy to protect species by controlling the harvesting amount, impulsive period of the exogenous input of toxin and toxin impulsive input amount, etc. Our results provide reasonable tactics for biological resource management. (C) 2009 Elsevier Ireland Ltd. All rights reserved.
关键词	Single population Stage-structured Global attractivity Permanence
DOI	10.1016/j.biosystems.2009.05.004
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:000269428900008
出版者	ELSEVIER SCI 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/8967
专题	中国科学院数学与系统科学研究院
通讯作者	Jiao, Jianjun
作者单位	1.Guizhou Coll Finance & Econ, Sch Math & Stat, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China 2.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Yang, Xiaosong,Chen, Lansun. Harvesting on a stage-structured single population model with mature individuals in a polluted environment and pulse input of environmental toxin[J]. BIOSYSTEMS,2009,97(3):186-190.
APA	Jiao, Jianjun,Yang, Xiaosong,&Chen, Lansun.(2009).Harvesting on a stage-structured single population model with mature individuals in a polluted environment and pulse input of environmental toxin.BIOSYSTEMS,97(3),186-190.
MLA	Jiao, Jianjun,et al."Harvesting on a stage-structured single population model with mature individuals in a polluted environment and pulse input of environmental toxin".BIOSYSTEMS 97.3(2009):186-190.