| A nonlocal and time-delayed reaction-diffusion eco-epidemiological predator-prey model | |
Zhang, Liang; Shi, Wan-Xia; Wang, Shuang-Ming
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| 2019-05 | |
| 发表期刊 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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| 卷号 | 77期号:9页码:2534-2552 |
| 摘要 | In this paper, we propose and investigate a nonlocal and time-delayed reaction-diffusion predator-prey model with disease spread in the prey which incorporates spatial heterogeneity and assimilation lag of consumed prey biomass into predator biomass. The SI-type subsystem of prey without predator is first studied, and we establish the threshold dynamics in terms of the basic reproduction number based on epidemiology. Then we show a series of sufficient conditions for the co-existence of prey and predator species, the global extinction of predator species and the global extinction of both the prey and predator species. Finally, a special example is explored via numerical simulations, where the influences of nonlocal effect, spatial heterogeneity and time delay on the invasion of the predator species are probed. (C) 2019 Elsevier Ltd. All rights reserved. |
| 关键词 | Nonlocal predator-prey model Infected prey Spatial diffusion Time delay Persistence and extinction |
| DOI | 10.1016/j.camwa.2018.12.034 |
| 收录类别 | SCI ; EI ; SCOPUS ; SCIE |
| ISSN | 0898-1221 |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| WOS记录号 | WOS:000465065200015 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| EI入藏号 | 20190206356267 |
| EI主题词 | Time delay |
| 原始文献类型 | Journal article (JA) |
| EISSN | 1873-7668 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.lzufe.edu.cn/handle/39EH0E1M/10760 |
| 专题 | 教务处 信息工程与人工智能学院 |
| 作者单位 | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China; 3.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Gansu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Liang,Shi, Wan-Xia,Wang, Shuang-Ming. A nonlocal and time-delayed reaction-diffusion eco-epidemiological predator-prey model[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2019,77(9):2534-2552. |
| APA | Zhang, Liang,Shi, Wan-Xia,&Wang, Shuang-Ming.(2019).A nonlocal and time-delayed reaction-diffusion eco-epidemiological predator-prey model.COMPUTERS & MATHEMATICS WITH APPLICATIONS,77(9),2534-2552. |
| MLA | Zhang, Liang,et al."A nonlocal and time-delayed reaction-diffusion eco-epidemiological predator-prey model".COMPUTERS & MATHEMATICS WITH APPLICATIONS 77.9(2019):2534-2552. |
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| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
| 15480.pdf（1128KB） | 期刊论文 | 出版稿 | 暂不开放 | CC BY-NC-SA | 请求全文 | |
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