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Stability and bifurcation of stochastic chemostat model | ||
| Journal of Mathematical Modeling | ||
| مقاله 10، دوره 11، شماره 2، مهر 2023، صفحه 375-394 اصل مقاله (583.09 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.24214.2165 | ||
| نویسندگان | ||
| Mehdi Fatehi Nia* ؛ Najmeh Khajoei | ||
| Department of Mathematics, Yazd University, Yazd, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Stochastic chemostat model؛ Lyapunov exponent؛ D-bifurcation؛ P-bifurcation | ||
| مراجع | ||
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