Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus
文献类型：期刊论文
| 作者 | Cheng, Chengcheng1,3; Zheng, Zuohuan1,2,3
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2021 |
| 卷号 | 493期号:1页码:24 |
| 关键词 | West Nile virus Advection Free boundary Basic reproduction number Vanishing-spreading Asymptotic spreading speed |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2020.124507 |
| 英文摘要 | This paper aims to explore the temporal-spatial spreading and asymptotic behaviors of West Nile virus (WNv) by a reaction-advection-diffusion system with free boundaries, especially considering the impact of advection term on the extinction and persistence of West Nile virus. We define the spatial-temporal risk index R-0(F) (t) with the advection rate (mu) and the general basic disease reproduction number R-0(D) to get the vanishing-spreading dichotomy regimes of West Nile virus. We show that there exists a threshold value mu* of the advection rate, and obtain the threshold results of mu*. When the spreading occurs, we investigate the asymptotic dynamical behaviors of the solution in the long run and first give an estimate that the asymptotic spreading speed of the leftward front is less than or equal to the rightward front in the case of 0 < mu < mu*. At last, we give some numerical simulations to identify the significant effects of the advection. (c) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11671382] ; CAS Key Project of Frontier Sciences[QYZDJ-SSW-JSC003] ; Key Lab. of Random Complex Structures and Data Sciences CAS ; National Center for Mathematics and InterdisciplinarySciences CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000576820100011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52364]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zheng, Zuohuan |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Chengcheng,Zheng, Zuohuan. Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2021,493(1):24. |
| APA | Cheng, Chengcheng,&Zheng, Zuohuan.(2021).Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,493(1),24. |
| MLA | Cheng, Chengcheng,et al."Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 493.1(2021):24. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。