Linear stability of delayed reaction-diffusion systems

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• 作者：Peter Hinow^a ; ^{hinow@uwm.edu} ; Maya Mincheva^b ; ^{mmincheva@niu.edu}
• 关键词：Reaction&ndash ; diffusion system with delays ; Linear stability ; Turing instability
• 刊名：Computers & Mathematics with Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：73
• 期：2
• 页码：226-232
• 全文大小：388 K
• 卷排序：73

文摘

A common feature of pattern formation in both space and time is the destabilization of a stable equilibrium solution of an ordinary differential equation by adding diffusion or delay, or both. Here we study linear stability of general reaction–diffusion systems with off-diagonal time delays. We show that a delay-stable system cannot be destabilized by diffusion, and that a diffusion stable system is also stable with respect to delay, if the diffusion is sufficiently fast. A system with direct negative feedback which is strongly stable with respect to diffusion can be destabilized by off-diagonal delay.