Lanzhou University of Technology Institutional Repository (LUT_IR)
On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model | |
Huo, Hai-Feng![]() ![]() | |
2022 | |
发表期刊 | MATHEMATICAL BIOSCIENCES AND ENGINEERING
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ISSN | 1547-1063 |
卷号 | 19期号:1页码:836-854 |
摘要 | The basic reproduction ratio R-0 of more general periodic and time-delayed impulsive model which the period of model coefficients is different from that of fixed impulsive moments, is developed. That R-0 is the threshold parameter for the stability of the zero solution of the associated linear system is also shown. The developed theory is further applied to a swine parasitic disease model with pulse therapy. Threshold results on its global dynamics in terms of R-0 are obtained. Some numerical simulation results are also given to support our main results. |
关键词 | impulsive models time delay basic reproduction ratio swine parasitic disease threshold dynamics |
DOI | 10.3934/mbe.2022038 |
收录类别 | SCIE ; EI |
语种 | 英语 |
WOS研究方向 | Mathematical & Computational Biology |
WOS类目 | Mathematical & Computational Biology |
WOS记录号 | WOS:000725509800007 |
出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
EI入藏号 | 20214811241684 |
EI主题词 | Time delay |
EI分类号 | 461.9 Biology ; 713 Electronic Circuits ; 713.4 Pulse Circuits ; 961 Systems Science |
来源库 | WOS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/150018 |
专题 | 学科建设与学位办公室 理学院 |
通讯作者 | Huo, Hai-Feng |
作者单位 | Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China |
第一作者单位 | 材料科学与工程学院 |
通讯作者单位 | 材料科学与工程学院 |
第一作者的第一单位 | 材料科学与工程学院 |
推荐引用方式 GB/T 7714 | Huo, Hai-Feng,Wu, Fan,Xiang, Hong. On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING,2022,19(1):836-854. |
APA | Huo, Hai-Feng,Wu, Fan,&Xiang, Hong.(2022).On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model.MATHEMATICAL BIOSCIENCES AND ENGINEERING,19(1),836-854. |
MLA | Huo, Hai-Feng,et al."On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model".MATHEMATICAL BIOSCIENCES AND ENGINEERING 19.1(2022):836-854. |
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