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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
2020-02-07
Source PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
AbstractIn 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.
Keywordcross-fractional diffusion delay Hopf bifurcation predator-prey Turing pattern
DOI10.1002/mma.6259
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11761059][11861044][11661050] ; Institutions of Higher Learning Scientific Research Project of Henan Province of China[15A110002]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000511471000001
PublisherWILEY
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/76294
Collection理学院
材料科学与工程学院
学科建设与学位办公室
Corresponding AuthorHuo, Hai-Feng
Affiliation1.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
Corresponding Author AffilicationColl Mat Sci & Engn
Recommended Citation
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.
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.
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 (2020).
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