Stability and bifurcation of stochastic chemostat model
Publish place: Journal of Mathematical Modeling، Vol: 11، Issue: 2
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-11-2_010
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
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.
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Authors
Mehdi Fatehi Nia
Department of Mathematics, Yazd University, Yazd, Iran
Najmeh Khajoei
Department of Mathematics, Yazd University, Yazd, Iran