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Spatiotemporal patterns induced by delay and cross-fractional diffusion in a predator-prey model describing intraguild predation | |
Ma, Zhan-Ping1; Huo, Hai-Feng2; Xiang, Hong2 | |
2020-05-30 | |
发表期刊 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
ISSN | 0170-4214 |
卷号 | 43期号:8页码:5179-5196 |
摘要 | In this article, we study a reaction-diffusion predator-prey model that describes intraguild predation. We mainly consider the effects of time delay and cross-fractional diffusion on dynamical behavior. By using delay as the bifurcation parameter, we perform a detailed Hopf bifurcation analysis and derive the algorithm for determining the direction and stability of the bifurcating periodic solutions. We also demonstrate that proper cross-fractional diffusion can induce Turing pattern, and the smaller the order of fractional diffusion is, the more easily Turing pattern is able to occur. |
关键词 | cross-fractional diffusion delay Hopf bifurcation predator-prey Turing pattern |
DOI | 10.1002/mma.6259 |
收录类别 | SCI ; SCIE ; EI |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11761059][11861044][11661050] ; Institutions of Higher Learning Scientific Research Project of Henan Province of China[15A110002] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000511471000001 |
出版者 | WILEY |
EI入藏号 | 20200608149576 |
EI主题词 | Predator prey systems |
EI分类号 | 454.3 Ecology and Ecosystems - 921 Mathematics - 931 Classical Physics ; Quantum Theory ; Relativity - 961 Systems Science |
来源库 | WOS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/76294 |
专题 | 材料科学与工程学院 理学院 学科建设与学位办公室 |
通讯作者 | Huo, Hai-Feng |
作者单位 | 1.Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China; 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China |
通讯作者单位 | 材料科学与工程学院 |
推荐引用方式 GB/T 7714 | Ma, Zhan-Ping,Huo, Hai-Feng,Xiang, Hong. Spatiotemporal patterns induced by delay and cross-fractional diffusion in a predator-prey model describing intraguild predation[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2020,43(8):5179-5196. |
APA | Ma, Zhan-Ping,Huo, Hai-Feng,&Xiang, Hong.(2020).Spatiotemporal patterns induced by delay and cross-fractional diffusion in a predator-prey model describing intraguild predation.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,43(8),5179-5196. |
MLA | Ma, Zhan-Ping,et al."Spatiotemporal patterns induced by delay and cross-fractional diffusion in a predator-prey model describing intraguild predation".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 43.8(2020):5179-5196. |
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