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题名: Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model
作者: Ma, ZP; Li, WT; Wang, YX
收录类别: SCIE
出版日期: 2017-01
刊名: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷号: 27, 期号:1-1
出版者: WORLD SCIENTIFIC PUBL CO PTE LTD
出版地: SINGAPORE
英文摘要: This paper focuses on a three-species Lotka-Volterra food chain model with cross-diffusion under homogeneous Neumann boundary conditions. The known results indicate that no spatiotemporal patterns happen in the corresponding reaction-diffusion system. When some cross-diffusion terms are introduced in the system, the existence of nonconstant positive steady-states as well as the Hopf bifurcation is studied. Our result shows that cross-diffusion plays a crucial role in the formation of spatiotemporal patterns, that is, it can create not only stationary patterns but also spatially inhomogeneous periodic oscillatory patterns, which is a strong contrast to the case without cross-diffusion.
关键词: Food chain model ; cross-diffusion ; stationary pattern ; Hopf bifurcation ; periodic oscillatory pattern
作者部门: [Ma, Zhan-Ping] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China ; [Li, Wan-Tong] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China ; [Wang, Yu-Xia] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
通讯作者: Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
学科分类: Mathematics; Science & Technology - Other Topics
文章类型: Article
所属项目编号: Institutions of Higher Learning Scientific Research Project of Henan Province of China [15A110002] ; Fundamental Research Funds for the Universities of Henan Province of China [NSFRF140141] ; Doctor's Foundation of Henan Polytechnic University [B2014-059] ; NSF of China [11301147, 11671180, 11501084, U1604180] ; Fundamental Research Funds for the Central Universities [lzujbky-2016-ct12, ZYGX2015J094]
所属项目名称: 国家自然科学基金项目 ; 中央高校基本科研业务费专项资金
项目资助者: NSFC ; LZU
语种: 英语
DOI: 10.1142/S0218127417500110
ISSN号: 0218-1274
WOS记录号: WOS:000395312600015
IR记录号: WOS:000395312600015
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内容类型: 期刊论文
URI标识: http://ir.lzu.edu.cn/handle/262010/189080
Appears in Collections:数学与统计学院_期刊论文

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Recommended Citation:
Ma, ZP,Li, WT,Wang, YX. Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2017,27(1-1).
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