The effect of impulsive spraying pesticide on stage-structured population models with birth pulse

CSpace

	The effect of impulsive spraying pesticide on stage-structured population models with birth pulse
	Liu, B ; Teng, ZD
	2005-03-01
发表期刊	JOURNAL OF BIOLOGICAL SYSTEMS
ISSN	0218-3390
卷号	13 期号:1 页码:31-44
摘要	In most models of population dynamics, increases in population due to birth are assumed to be time dependent, but many species reproduce only a single period of the year. In this paper, we construct a stage-structured pest model with birth pulse and periodic spraying pesticide at fixed time in each birth period by using impulsive differential equation. Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact periodic solution of systems which are with Ricker function or Beverton-Holt function, and obtain the threshold conditions for their stability. Further, we show that the time of spraying pesticide has a strong impact on the number of the mature pest population. Our results imply that the best time of spraying pesticide is at the end of the season, that is before and near the time of birth. Finally, by numerical simulations we find that the dynamical behaviors of the stage-structured population models with birth pulse and impulsive spraying pesticide are very complex, including period-doubling cascade, period-halving cascade, chaotic bands with periodic windows and "period-adding" phenomena.
关键词	stage structure birth pulse impulsive spraying pesticide 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:000228336600004
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/1069
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, Liaonsing 114005, Peoples R China 2.Xinjiang Univ, Dept Math, Xinjiang 830046, Peoples R China 3.Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, B,Teng, ZD. The effect of impulsive spraying pesticide on stage-structured population models with birth pulse[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2005,13(1):31-44.
APA	Liu, B,&Teng, ZD.(2005).The effect of impulsive spraying pesticide on stage-structured population models with birth pulse.JOURNAL OF BIOLOGICAL SYSTEMS,13(1),31-44.
MLA	Liu, B,et al."The effect of impulsive spraying pesticide on stage-structured population models with birth pulse".JOURNAL OF BIOLOGICAL SYSTEMS 13.1(2005):31-44.