The main purpose of this paper is to study dynamics of stochastic chemostat model. In this order, Taylor expansions, polar coordinate transformation and stochastic averaging method are our main tools. The stability and bifurcation of the stochastic chemostat model are considered. Some theorems provide sufficient conditions to investigate stochastic stability, $D$-bifurcation and $P$-bifurcation of the model. As a final point, to show the effects of the noise intensity and illustrate our theoretical results, some numerical simulations are presented.
Fatehi Nia, M., & Khajoei, N. (2023). Stability and bifurcation of stochastic chemostat model. Journal of Mathematical Modeling, 11(2), 375-394. doi: 10.22124/jmm.2023.24214.2165
MLA
Mehdi Fatehi Nia; Najmeh Khajoei. "Stability and bifurcation of stochastic chemostat model". Journal of Mathematical Modeling, 11, 2, 2023, 375-394. doi: 10.22124/jmm.2023.24214.2165
HARVARD
Fatehi Nia, M., Khajoei, N. (2023). 'Stability and bifurcation of stochastic chemostat model', Journal of Mathematical Modeling, 11(2), pp. 375-394. doi: 10.22124/jmm.2023.24214.2165
VANCOUVER
Fatehi Nia, M., Khajoei, N. Stability and bifurcation of stochastic chemostat model. Journal of Mathematical Modeling, 2023; 11(2): 375-394. doi: 10.22124/jmm.2023.24214.2165
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