Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment
文献类型：期刊论文
| 作者 | Cheng, Chengcheng4; Zheng, Zuohuan1,2,3
|
| 刊名 | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| 出版日期 | 2022-04-01 |
| 卷号 | 73期号:2页码:27 |
| 关键词 | Almost periodic Free boundary Principal Lyapunov exponent Spreading-vanishing Asymptotic spreading speed |
| ISSN号 | 0044-2275 |
| DOI | 10.1007/s00033-022-01729-5 |
| 英文摘要 | We put forward a reaction-diffusion cooperative system for the West Nile virus in a spatial heterogeneous and time almost periodic environment with free boundaries. The existence, uniqueness and regularity estimates of the global solution for this epidemic model are given. Focused on the effects of spatial heterogeneity and time almost periodicity, we introduce the principal Lyapunov exponent lambda(t) dependent on t and get the initial infected critical size L* which plays a vital part in analyzing the threshold dynamics and the long-time asymptotic behaviors of the solution. We build the spreading-vanishing dichotomy regimes of this model and obtain several criteria determining the spreading or vanishing. Our analysis result suggests that the solution converges to a positive time almost periodic function (U* (x, t), V* (x, t)) locally uniformly when the spreading occurs. We discover that the initial disease infected domain and the front expanding rate have momentous impacts on the permanence and extinction of the disease. Moreover, we give the lower and the upper bound estimates about the asymptotic spreading speeds of the double free fronts when the spreading happens. |
| 资助项目 | NSF of China[11671382] ; NSF of China[12031020] ; CAS Key Project of Frontier Sciences[QYZDJ-SSW-JSC003] ; Key Lab. of Random Complex Structures and Data Sciences CAS ; National Center for Mathematics and Interdisciplinary Sciences CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000776050200001 |
| 出版者 | SPRINGER INT PUBL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60242]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cheng, Chengcheng |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China 4.Beijing Normal Univ, Sch Math Sci, MOE, Lab Math & Complex Syst, Beijing 100875, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Chengcheng,Zheng, Zuohuan. Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2022,73(2):27. |
| APA | Cheng, Chengcheng,&Zheng, Zuohuan.(2022).Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,73(2),27. |
| MLA | Cheng, Chengcheng,et al."Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 73.2(2022):27. |
入库方式： OAI收割
来源：数学与系统科学研究院
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