The asymptotic behavior of solutions of the buffered bistable system

Jong Shenq Guo, Je Chiang Tsai

研究成果: 雜誌貢獻期刊論文同行評審

9 引文 斯高帕斯(Scopus)

摘要

In this paper, we study a model for calcium buffering with bistable nonlinearity. We present some results on the stability of equilibrium states and show that there exists a threshold phenomenon in our model. In comparing with the model without buffers, we see that stationary buffers cannot destroy the asymptotic stability of the associated equilibrium states and the threshold phenomenon. Moreover, we also investigate the propagation property of solutions with initial data being a disturbance of one of the stable states which is confined to a half-line. We show that the more stable state will eventually dominate the whole dynamics and that the speed of this propagation (or invading process) is positive.

原文英語
頁(從 - 到)179-213
頁數35
期刊Journal of Mathematical Biology
53
發行號1
DOIs
出版狀態已發佈 - 2006 七月 1

ASJC Scopus subject areas

  • 建模與模擬
  • 農業與生物科學(雜項)
  • 應用數學

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