Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges

doi:10.1016/j.mbs.2008.12.008

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	Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges
	Ma, Zhihui ; Li, Wenlong ; Zhao, Yu 2,4; Wang, Wenting ; Zhang, Hui ; Li, Zizhen
	2009-04
发表期刊	MATHEMATICAL BIOSCIENCES
卷号	218 期号:2 页码:73-79
摘要	In this paper, the effects of refuges used by prey on a predator-prey interaction with a class of functional responses are studied by using the analytical approach. The refuges are considered as two types: a constant proportion of prey and a fixed number of prey using refuges. We will evaluate the effects with regard to the local stability of the interior equilibrium point, the values of the equilibrium density and the long-term dynamics of the interacting populations. The results show that the effects of refuges used by prey increase the equilibrium density of prey population while decrease that of predators. It is also proved that the effects of refuges can stabilize the interior equilibrium point of the considered model. and destabilize it under a very restricted set of conditions which is disagreement with previous results in this field. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Predator-prey system Functional response Prey refuge Stability Stabilizing effect Destabilizing effect
DOI	10.1016/j.mbs.2008.12.008
收录类别	SCI ; EI ; SCOPUS ; SCIE
ISSN	0025-5564
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:000265362200001
出版者	ELSEVIER SCIENCE INC
EI入藏号	20091211970689
原始文献类型	Review
EISSN	1879-3134
引用统计	被引频次：123[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/15019
专题	兰州财经大学
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; 2.Minist Educ, Key Lab Arid & Grassland Agroecol, Lanzhou 730000, Peoples R China; 3.Lanzhou Univ, Sch Pastoral Agr Sci & Technol, Lanzhou 730020, Peoples R China; 4.Lanzhou Univ Finance & Econ, Sch Stat, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Ma, Zhihui,Li, Wenlong,Zhao, Yu,et al. Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges[J]. MATHEMATICAL BIOSCIENCES,2009,218(2):73-79.
APA	Ma, Zhihui,Li, Wenlong,Zhao, Yu,Wang, Wenting,Zhang, Hui,&Li, Zizhen.(2009).Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges.MATHEMATICAL BIOSCIENCES,218(2),73-79.
MLA	Ma, Zhihui,et al."Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges".MATHEMATICAL BIOSCIENCES 218.2(2009):73-79.

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