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DOI | 10.1007/s00285-024-02048-1 |
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect | |
Li, Bingtuan; Otto, Garrett | |
发表日期 | 2024 |
ISSN | 0303-6812 |
EISSN | 1432-1416 |
起始页码 | 88 |
结束页码 | 3 |
卷号 | 88期号:3 |
英文摘要 | We study an integro-difference equation model that describes the spatial dynamics of a species with a strong Allee effect in a shifting habitat. We examine the case of a shifting semi-infinite bad habitat connected to a semi-infinite good habitat. In this case we rigorously establish species persistence (non-persistence) if the habitat shift speed is less (greater) than the asymptotic spreading speed of the species in the good habitat. We also examine the case of a finite shifting patch of hospitable habitat, and find that the habitat shift speed must be less than the asymptotic spreading speed associated with the habitat and there is a critical patch size for species persistence. Spreading speeds and traveling waves are established to address species persistence. Our numerical simulations demonstrate the theoretical results and show the dependence of the critical patch size on the shift speed. |
英文关键词 | Integro-difference equation; Shifting habitat; Allee effect; Spreading speed; Traveling wave; Critical patch size |
语种 | 英语 |
WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
WOS类目 | Biology ; Mathematical & Computational Biology |
WOS记录号 | WOS:001172919400001 |
来源期刊 | JOURNAL OF MATHEMATICAL BIOLOGY
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文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/292638 |
作者单位 | University of Louisville; State University of New York (SUNY) System; SUNY Cortland |
推荐引用方式 GB/T 7714 | Li, Bingtuan,Otto, Garrett. Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect[J],2024,88(3). |
APA | Li, Bingtuan,&Otto, Garrett.(2024).Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect.JOURNAL OF MATHEMATICAL BIOLOGY,88(3). |
MLA | Li, Bingtuan,et al."Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect".JOURNAL OF MATHEMATICAL BIOLOGY 88.3(2024). |
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