Nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates
Publication in refereed journal

香港中文大學研究人員

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摘要We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle of Eigen and Schuster, angiogenesis, and the generalized Gierer-Meinhardt system. We give some sufficient and explicit conditions for stability by studying the corresponding nonlocal eigenvalue problem in a new range of parameters.
著者Wei JC, Winter M
期刊名稱International Journal of Bifurcation and Chaos
出版年份2003
月份6
日期1
卷號13
期次6
出版社WORLD SCIENTIFIC PUBL CO PTE LTD
頁次1529 - 1543
國際標準期刊號0218-1274
語言英式英語
關鍵詞nonlocal eigenvalue problem; reaction-diffusion systems; spike solution; stability
Web of Science 學科類別Mathematics; Mathematics, Interdisciplinary Applications; MATHEMATICS, INTERDISCIPLINARY APPLICATIONS; Multidisciplinary Sciences; MULTIDISCIPLINARY SCIENCES; Science & Technology - Other Topics

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