A pest management model with state feedback control

doi:10.1186/s13662-016-0985-1

CSpace

	A pest management model with state feedback control
	Liu, Qiong 1; Huang, Lizhuang 2; Chen, Lansun 3
	2016-11-15
发表期刊	ADVANCES IN DIFFERENCE EQUATIONS
ISSN	1687-1847
页码	11
摘要	In this paper, research of a class of state feedback control model which is mainly used in crop pests management, with Bendixson-Dulac discriminance, proves that this model has an unique and globally stable positive equilibrium under the weak time-delay kernel function. Also, we adopt the subsequent function method in the ordinary differential equation of the geometric theory to prove that a sufficient condition holds for the existence of an order one period solution in the system. At the same time, it also proves that the periodic solution is asymptotically stable.
关键词	pest management successor function periodic solution of order one Bendixson-Dulac discriminance
DOI	10.1186/s13662-016-0985-1
语种	英语
资助项目	National Natural Science Foundation of China[10861003] ; Research Fund of Guangxi Higher Education of China[ZD2014137] ; Natural Science Foundation of Guangxi Province[2016GXNSFAA380102]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000387817200001
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24146
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Qiong
作者单位	1.Qinzhou Univ, Coll Math & Comp Sci, Qinzhou 535000, Peoples R China 2.Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Qiong,Huang, Lizhuang,Chen, Lansun. A pest management model with state feedback control[J]. ADVANCES IN DIFFERENCE EQUATIONS,2016:11.
APA	Liu, Qiong,Huang, Lizhuang,&Chen, Lansun.(2016).A pest management model with state feedback control.ADVANCES IN DIFFERENCE EQUATIONS,11.
MLA	Liu, Qiong,et al."A pest management model with state feedback control".ADVANCES IN DIFFERENCE EQUATIONS (2016):11.