| PROPAGATION DYNAMICS OF NONLOCAL DISPERSAL EQUATIONS WITH BISTABLE NONLINEARITY IN SPATIALLY PERIODIC MEDIA | |
| Hao, Yu-Xia1; LI, Wan-Tong1; Wang, Jia-Bing2,3 | |
| 2023-01 | |
| Online publication date | 2023-01 |
| Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B Impact Factor & Quartile |
| ISSN | 1531-3492 |
| page numbers | 28 |
| Abstract | This paper is concerned with the new types of entire solutions other than traveling waves of nonlocal dispersal equations with bistable non-linearity in spatially periodic media. We first establish the existence of pulsat-ing fronts with small periods by the implicit function theorem, and then give the asymptotic behavior near infinity of the pulsating fronts (if they exist). Finally, we investigate the existence and qualitative properties of new types of entire solutions (defined for all (x, t) is an element of R2) by the sub-and super-solutions method and the comparison principle. Throughout the whole paper, we need to overcome the difficulties brought by the nonlocal dispersal and the spatial heterogeneity. |
| Keyword | Nonlocal dispersal equation bistable nonlinearity periodic media pulsating fronts entire solutions |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| DOI | 10.3934/dcdsb.2022257 |
| Indexed By | SCIE |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000912211200001 |
| Original Document Type | Article ; Early Access |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/499585 |
| Collection | 兰州大学 |
| Corresponding Author | LI, Wan-Tong |
| Affiliation | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; 2.China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China; 3.China Univ Geosci, Ctr Math Sci, Wuhan 430074, Peoples R China |
| Recommended Citation GB/T 7714 | Hao, Yu-Xia,LI, Wan-Tong,Wang, Jia-Bing. PROPAGATION DYNAMICS OF NONLOCAL DISPERSAL EQUATIONS WITH BISTABLE NONLINEARITY IN SPATIALLY PERIODIC MEDIA[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2023. |
| APA | Hao, Yu-Xia,LI, Wan-Tong,&Wang, Jia-Bing.(2023).PROPAGATION DYNAMICS OF NONLOCAL DISPERSAL EQUATIONS WITH BISTABLE NONLINEARITY IN SPATIALLY PERIODIC MEDIA.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. |
| MLA | Hao, Yu-Xia,et al."PROPAGATION DYNAMICS OF NONLOCAL DISPERSAL EQUATIONS WITH BISTABLE NONLINEARITY IN SPATIALLY PERIODIC MEDIA".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2023). |
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