KMS Of Academy of mathematics and systems sciences, CAS
| Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment | |
Cheng, Chengcheng1; Zheng, Zuohuan2,3,4
| |
| 2022-04-01 | |
| Source Publication | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| ISSN | 0044-2275 |
| Volume | 73Issue:2Pages:27 |
| Abstract | 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. |
| Keyword | Almost periodic Free boundary Principal Lyapunov exponent Spreading-vanishing Asymptotic spreading speed |
| DOI | 10.1007/s00033-022-01729-5 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000776050200001 |
| Publisher | SPRINGER INT PUBL AG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60243 |
| Collection | 应用数学研究所 |
| Corresponding Author | Cheng, Chengcheng |
| Affiliation | 1.Beijing Normal Univ, Sch Math Sci, MOE, Lab Math & Complex Syst, Beijing 100875, 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 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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. |
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