The dynamics of a prey-dependent consumption model concerning integrated pest management

doi:10.1007/s10114-004-0476-2

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	The dynamics of a prey-dependent consumption model concerning integrated pest management
	Liu, B ; Zhang, YJ ; Chen, LS ; Sun, LH
	2005-06-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	21 期号:3 页码:541-554
摘要	A mathematical model for the dynamics of a prey-dependent consumption model concerning integrated pest management is proposed and analyzed. We show that there exists a globally stable pesteradication periodic solution when the impulsive period is less than some critical values. Furthermore, the conditions for the permanence of the system are given. By using bifurcation theory, we show the existence of a nontrival periodic solution if the pest-eradication periodic solution loses its stability. When the unique positive periodic solution loses its stability, numerical simulation shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics, which implies that dynamical behaviors of prey-dependent consumption concerning integrated pest management are very complex, including period-doubling cascades, chaotic bands with periodic windows, crises, symmetry-breaking bifurcations and supertransients.
关键词	IPM strategy prey-dependent consumption model impulsive effect permanence chaos
DOI	10.1007/s10114-004-0476-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000229747700011
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2025
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, B
作者单位	1.Anshan Normal Univ, Dept Math, Anshan 114005, Peoples R China 2.Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China 3.Dalian Univ Technol, Dalian 116024, Peoples R China 4.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, B,Zhang, YJ,Chen, LS,et al. The dynamics of a prey-dependent consumption model concerning integrated pest management[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(3):541-554.
APA	Liu, B,Zhang, YJ,Chen, LS,&Sun, LH.(2005).The dynamics of a prey-dependent consumption model concerning integrated pest management.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(3),541-554.
MLA	Liu, B,et al."The dynamics of a prey-dependent consumption model concerning integrated pest management".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.3(2005):541-554.