Coarse-Grained Chemical Reaction Model

2004 ◽  
Vol 108 (6) ◽  
pp. 1815-1821 ◽  
Author(s):  
Yaroslava G. Yingling ◽  
Barbara J. Garrison
2017 ◽  
Vol 31 (3) ◽  
pp. 2274-2297 ◽  
Author(s):  
N. A. Slavinskaya ◽  
M. Abbasi ◽  
J. H. Starcke ◽  
R. Whitside ◽  
A. Mirzayeva ◽  
...  

Author(s):  
Jun Zhou ◽  
Junping Shi

In this paper, we revisit a reaction—diffusion autocatalytic chemical reaction model with decay. For higher-order reactions, we prove that the system possesses at least two positive steady-state solutions; hence, it has bistable dynamics similar to the system without decay. For the linear reaction, we determine the necessary and sufficient condition to ensure the existence of a solution. Moreover, in the one-dimensional case, we prove that the positive steady-state solution is unique. Our results demonstrate the drastic difference in dynamics caused by the order of chemical reactions.


2007 ◽  
Vol 2007 (0) ◽  
pp. _G703-a_
Author(s):  
Nobuyuki TSUBOI ◽  
Nobuhiro YAMANISHI ◽  
Shinichi TSUDA ◽  
Youhi MORII ◽  
Kazuya SHIMIZU ◽  
...  

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