紀要論文 Fluctuation-induced pattern transition in a competitive nonlinear proliferation system

Odagiri, Kenta

48pp.27 - 40 , 2017-03-05 , 専修大学自然科学研究所
ISSN:0386-5827
NII書誌ID(NCID):AN00132417
内容記述
We study the dynamics of pattern formation in a competitive nonlinear proliferation system composed of three agents; autocatalytically increasing consumer (or cell, X), its inhibitor (I), and resources (or nutrition, N) to support the proliferation of the consumers. Under a condition that the diffusion constants of X and I are fixed so as to favor for the standard Turing pattern to appear, we scan the diffusion constant of the resource (D[N]), and observe interesting patterns. Furthermore, we investigate the effect of concentration fluctuation of agents for observed patterns by changing the total amount of agents. We also show interesting pattern transient dynamics to the asymptotic patterns quantitatively.
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