Almost Sure Exponential Stability of Two-Strategy Evolutionary Games with Multiplicative Noise

2021 ◽  
Author(s):  
Haili Liang ◽  
Ying Cui ◽  
Xiaoqiang Ren ◽  
Xiaofan Wang
Keyword(s):  
Exponential Stability ◽  
Multiplicative Noise ◽  
Evolutionary Games ◽  
Almost Sure Exponential Stability

scholarly journals On stabilization of partial differential equations by noise

2001 ◽  
Vol 161 ◽  
pp. 155-170 ◽  
Author(s):  
Tomás Caraballo ◽  
Kai Liu ◽  
Xuerong Mao
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exponential Stability ◽  
Stochastic Partial Differential Equations ◽  
Finite Dimension ◽  
Infinite Dimension ◽  
Stability Criteria ◽  
Partial Differential ◽  
Almost Sure Exponential Stability

Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, some stability criteria from Chow [4] and Haussmann [6] are improved and subsequently applied to certain situations, on which the original criteria commonly do not work, to ensure almost sure exponential stability. This paper also extends to infinite dimension some results due to Mao [9] on stabilization of differential equations in finite dimension.

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