标题:Dynamic Analysis of a Pest Management Smith Model with Impulsive State Feedback Control and Continuous Delay
作者:Shi, Zhenzhen; Li, Yaning; Cheng, Huidong
作者机构:[Shi, Zhenzhen; Li, Yaning; Cheng, Huidong] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.
通讯作者:Cheng, HD
通讯作者地址:[Cheng, HD]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.
来源:MATHEMATICS
出版年:2019
卷:7
期:7
DOI:10.3390/math7070591
关键词:unilateral diffusion; order-one periodic orbit; qualitatively analysis;; Smith model
摘要:In our paper, we propose a single population Smith model with continuous delay and impulsive state feedback control. The application in pest management of this model is investigated. First, the singularity of this model is qualitatively analyzed; then, we consider the existence and uniqueness of order-one periodic orbit in order to determine the frequency of the implementation of chemical control. Moreover, based on the limit method of the sequences of subsequent points, we verify the stability of periodic orbit to ensure a certain robustness of this control; at last, we carry out the numerical simulations to verify the correctness of the theoretical results.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85068861941&doi=10.3390%2fmath7070591&partnerID=40&md5=7d3016f379eb89559e818e60b8cb753f
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