A Comparison of Bimolecular Reaction Models for Stochastic Reaction–Diffusion Systems

Bulletin of Mathematical Biology ◽

10.1007/s11538-013-9833-6 ◽

2013 ◽

Vol 76 (4) ◽

pp. 922-946 ◽

Author(s):

I. C. Agbanusi ◽

S. A. Isaacson

Keyword(s):

Reaction Diffusion ◽

Bimolecular Reaction ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Reaction Models ◽

Stochastic Reaction

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Simulations of stochastic reaction-diffusion systems

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(92)90074-q ◽

1992 ◽

Vol 34 (5) ◽

pp. 411-432

Author(s):

D.J. Hebert

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Stochastic Reaction

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Practical Exponential Stability of Impulsive Stochastic Reaction-Diffusion Systems With Delays

IEEE Transactions on Cybernetics ◽

10.1109/tcyb.2020.3022024 ◽

2020 ◽

pp. 1-11

Author(s):

Qi Yao ◽

Ping Lin ◽

Linshan Wang ◽

Yangfan Wang

Keyword(s):

Exponential Stability ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Stochastic Reaction

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Large deviations for invariant measures of general stochastic reaction–diffusion systems

Comptes Rendus Mathematique ◽

10.1016/j.crma.2003.09.015 ◽

2003 ◽

Vol 337 (9) ◽

pp. 597-602 ◽

Author(s):

Sandra Cerrai ◽

Michael Röckner

Keyword(s):

Large Deviations ◽

Invariant Measures ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Stochastic Reaction ◽

General Stochastic

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Boundary stabilization and H∞ Control for Stochastic Reaction-Diffusion Systems

2016 Chinese Control and Decision Conference (CCDC) ◽

10.1109/ccdc.2016.7531365 ◽

2016 ◽

Author(s):

Pei-Liang Pan ◽

Jian Wang ◽

Kai-Ning Wu

Keyword(s):

Reaction Diffusion ◽

Boundary Stabilization ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Stochastic Reaction

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Mean square stability of impulsive stochastic reaction diffusion systems

International Conference on Information Science and Technology ◽

10.1109/icist.2011.5765181 ◽

2011 ◽

Author(s):

Qi Luo ◽

Yutian Zhang

Keyword(s):

Reaction Diffusion ◽

Mean Square ◽

Reaction Diffusion Systems ◽

Mean Square Stability ◽

Diffusion Systems ◽

Stochastic Reaction

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Drift estimation for stochastic reaction-diffusion systems

Electronic Journal of Statistics ◽

10.1214/19-ejs1665 ◽

2020 ◽

Vol 14 (1) ◽

pp. 547-579 ◽

Author(s):

Gregor Pasemann ◽

Wilhelm Stannat

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Drift Estimation ◽

Diffusion Systems ◽

Stochastic Reaction

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Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term

Probability Theory and Related Fields ◽

10.1007/s00440-002-0230-6 ◽

2003 ◽

Vol 125 (2) ◽

pp. 271-304 ◽

Author(s):

Sandra Cerrai

Keyword(s):

Multiplicative Noise ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Reaction Term ◽

Diffusion Systems ◽

Stochastic Reaction

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Dissipativity in Mean Square of Stochastic Reaction Diffusion Systems

2007 International Conference on Machine Learning and Cybernetics ◽

10.1109/icmlc.2007.4370594 ◽

2007 ◽

Author(s):

Yu-Tian Zhang ◽

Qi Luo

Keyword(s):

Reaction Diffusion ◽

Mean Square ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Stochastic Reaction

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Stochastic Reaction-Diffusion Systems With Hölder Continuous Multiplicative Noise

Stochastic Analysis and Applications ◽

10.1080/07362994.2014.996295 ◽

2015 ◽

Vol 33 (2) ◽

pp. 331-355 ◽

Author(s):

Markus C. Kunze

Keyword(s):

Multiplicative Noise ◽

Reaction Diffusion ◽

Hölder Continuous ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Stochastic Reaction

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Optimal Control Problems for Stochastic Reaction-Diffusion Systems with Non-Lipschitz Coefficients

SIAM Journal on Control and Optimization ◽

10.1137/s0363012999356465 ◽

2001 ◽

Vol 39 (6) ◽

pp. 1779-1816 ◽

Author(s):

Sandra Cerrai

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Reaction Diffusion ◽

Control Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Stochastic Reaction

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