Deterministic and stochastic models of dynamics of chemical systems
Vejchodský, Tomáš, Erban, Radek
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Vejchodský, Tomáš, Erban, Radek
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Asada, Toshichiro, Inaba, Toshio, Misawa, Tetsuya (2000)
Discrete Dynamics in Nature and Society
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Saha, Tapan, Bandyopadhyay, Malay (2004)
International Journal of Mathematics and Mathematical Sciences
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Changjin Xu, Maoxin Liao (2017)
Open Mathematics
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This paper deals with a stochastic two-species competitive model. Some very verifiable criteria on the global stability of the positive equilibrium of the deterministic system are established. An example with its computer simulations is given to illustrate our main theoretical findings.
Asada, Toichiro, Misawa, Tetsuya, Inaba, Toshio (2000)
Discrete Dynamics in Nature and Society
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Irina Bashkirtseva, Lev Ryashko (2013)
International Journal of Applied Mathematics and Computer Science
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A nonlinear discrete-time control system forced by stochastic disturbances is considered. We study the problem of synthesis of the regulator which stabilizes an equilibrium of the deterministic system and provides required scattering of random states near this equilibrium for the corresponding stochastic system. Our approach is based on the stochastic sensitivity functions technique. The necessary and important part of the examined control problem is an analysis of attainability. For...