The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management

doi:10.1016/j.nonrwa.2004.08.001

CSpace

	The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management
	Liu, B ; Zhang, YJ ; Chen, LS
	2005-04-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	6 期号:2 页码:227-243
摘要	According to the fact integrated pest management, a Lotka-Volterra predator-prey model with impulsive effect at fixed moment is proposed and investigated. We analyze such system from two cases: general case (taking IPM strategy) and special case (only choosing pesticides). In the first case, we show that there exists a globally asymptotically stable pest-eradication periodic solution when the period of impulsive effect is less than some critical value. The condition for the permanence is also given. By using bifurcation theory, we show the existence and stability of positive periodic solution when the pest-eradication lost its stability. In the second case, the system by only choosing chemical pesticides, we give the conditions of existence and stability of predator-free periodic solution. We obtain that the conditions for the permanence or extinction in the system we considered are quite different from the corresponding system without impulse. Finally, we compare validity of the IPM strategy with the classical methods (only biological control or chemical control), and conclude that IPM strategy is more effective than the classical one. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	IPM strategy Lotka-Volterra predator-prey model impulsive effect permanence extinction bifurcation
DOI	10.1016/j.nonrwa.2004.08.001
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000226433100001
出版者	PERGAMON-ELSEVIER SCIENCE 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/1963
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, Liaoning 114005, Peoples R China 2.Xinjiang Univ, Coll Math & Syst Sci, Xinjiang 830046, Peoples R China 3.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. The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2005,6(2):227-243.
APA	Liu, B,Zhang, YJ,&Chen, LS.(2005).The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,6(2),227-243.
MLA	Liu, B,et al."The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 6.2(2005):227-243.