4.7 Article

The dynamics of the stochastic shadow Gierer-Meinhardt system

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 260, Issue 1, Pages 84-114

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2015.08.047

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Funding

  1. National Natural Science Foundation of China (NSFC) [11431014, 11401557]
  2. Science and Technology Development Fund Macao S.A.R [FDCT 049/2014/A1, MYRG2015-00021-FST]
  3. [SRG2013-00064-FST]

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We consider the dynamics of the stochastic shadow Gierer Meinhardt system with one-dimensional standard Brownian motion. We establish the global existence and uniqueness of solutions. We also prove a large deviation result. (C) 2015 Elsevier Inc. All rights reserved.

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