Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control

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	Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control
	Zhang, YJ ; Xu, ZL ; Liu, B
	2005-03-01
发表期刊	JOURNAL OF BIOLOGICAL SYSTEMS
ISSN	0218-3390
卷号	13 期号:1 页码:45-58
摘要	A Holling I predator-prey model with mutual interference concerning pest control is proposed and analyzed. The prey and predator are considered to be a pest and a natural enemy, respectively. The model is forced by the addition of periodic impulsive terms representing predator import (biological control) and pesticide application (chemical control) at different fixed moments. By using Floquet theory and small amplitude perturbations, we show the existence and stability of pest-free periodic solutions. Further, we prove that when the stability of pest-free periodic solutions is lost, the system is permanent by using analytic methods of differential equation theory. Numerical solutions are also given, which show that when stability of pest-free periodic solutions is lost, more exotic behavior can occur, such as quasi-periodic oscillation or chaos. We investigate the effect of impulsive perturbations on the unforced continuous system, and find that the forced system has a different dynamical behavior with a different range of initial values which are inside or outside the unstable limit cycle of the unforced continuous system. Finally, we compare the validity of the combination of biological control and chemical control with classical methods and conclude that the synthetical strategy is more effective than classical methods if we take effective chemical control.
关键词	pest control mutual interference permanence bifurcation
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:000228336600005
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/1942
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YJ
作者单位	1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 2.Dalian Univ Technol, Dept Biosci & Biotechnol, Dalian 116024, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YJ,Xu, ZL,Liu, B. Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2005,13(1):45-58.
APA	Zhang, YJ,Xu, ZL,&Liu, B.(2005).Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control.JOURNAL OF BIOLOGICAL SYSTEMS,13(1),45-58.
MLA	Zhang, YJ,et al."Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control".JOURNAL OF BIOLOGICAL SYSTEMS 13.1(2005):45-58.