Stripe and Spot Patterns in a Gierer-Meinhardt Activator-Inhibitor Model with Different Sources
文献类型：期刊论文
| 作者 | Wang, Jinliang1,2; Hou, Xiaojie3; Jing, Zhujun4 |
| 刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| 出版日期 | 2015-07-01 |
| 卷号 | 25期号:8页码:16 |
| 关键词 | Hopf bifurcation Turing instability stability spatial and temporal pattern |
| ISSN号 | 0218-1274 |
| DOI | 10.1142/S0218127415501084 |
| 英文摘要 | In this paper, we study the Turing patterns in a Gierer-Meinhardt model of the activator-inhibitor type with different sources. First, we investigate the corresponding kinetic equations and derive the conditions for the stability of the equilibrium and then, we turn our attention to the Hopf bifurcation of the system. In certain parameter range, the equilibrium experiences a Hopf bifurcation; the bifurcation is supercritical and the bifurcated periodic solution is stable. With added diffusions, we show that both the equilibrium and the stable Hopf periodic solution experience Turing instability, if the diffusion coefficients of the two species are sufficiently different. Our numerical simulations show that the Turing patterns are either spot or stripe type. The results are new. |
| 资助项目 | National Natural Science Foundation of China[10971009] ; National Natural Science Foundation of China[10771196] ; National Scholarship Fund[201303070222] ; Fundamental Research Funds for the Central Universities |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000359318000017 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20529]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Jinliang |
| 作者单位 | 1.Beihang Univ, LMIB, Beijing 100191, Peoples R China 2.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China 3.Univ N Carolina, Dept Math & Stat, Wilmington, NC 28403 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Jinliang,Hou, Xiaojie,Jing, Zhujun. Stripe and Spot Patterns in a Gierer-Meinhardt Activator-Inhibitor Model with Different Sources[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2015,25(8):16. |
| APA | Wang, Jinliang,Hou, Xiaojie,&Jing, Zhujun.(2015).Stripe and Spot Patterns in a Gierer-Meinhardt Activator-Inhibitor Model with Different Sources.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,25(8),16. |
| MLA | Wang, Jinliang,et al."Stripe and Spot Patterns in a Gierer-Meinhardt Activator-Inhibitor Model with Different Sources".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 25.8(2015):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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