Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse

CSpace

	Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse
	Hui, J ; Chen, LS
	2004-08-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	14 期号:8 页码:2893-2903
摘要	sIn many models of pest control, increases in pest population due to birth are assumed to be continuous, but in fact, pest population reproduces only during a single period; at the same time, pesticides are often applied during the period. So in this paper we propose a ratio-dependent predator-prey model with birth pulse and pesticide pulse. Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact periodic solution of systems which have Ricker functions or Beverton-Holt functions, and obtain the threshold conditions for their stability. Above the threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behaviors of the ratio-dependent predator-prey model with birth pulse and pesticide pulse are very complex, including small-amplitude oscillations, large-amplitude cycles and chaos. This suggests that birth pulse and pesticide pulse, in effect, provide a natural period or cyclicity that allows for period-doubling bifurcation and period-halving bifurcation route to chaos.
关键词	ratio-dependent birth pulse pesticide pulse Ricker function Beverton-Holt function period-doubling bifurcation period-halving bifurcation chaos
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000224603300020
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/570
专题	中国科学院数学与系统科学研究院
通讯作者	Hui, J
作者单位	1.Guangxi Univ Technol, Dept Informat & Computat Sci, Liuzhou 545006, Peoples R China 2.E China Normal Univ, Dept Math, Shanghai 200062, 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	Hui, J,Chen, LS. Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2004,14(8):2893-2903.
APA	Hui, J,&Chen, LS.(2004).Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,14(8),2893-2903.
MLA	Hui, J,et al."Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 14.8(2004):2893-2903.