文章基本信息

标题：Hopf bifurcation in delayed nutrient-microorganism model with network structure
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作者：Mengxin Chen ; Qianqian Zheng ; Ranchao Wu 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2022
卷号：16
期号：1
页码：1-13
DOI：10.1080/17513758.2021.2020915
语种：English
出版社：Taylor & Francis
摘要：In this paper, we introduce and deal with the delayed nutrient-microorganism model with a random network structure. By employing time delay τ as the main critical value of the Hopf bifurcation, we investigate the direction of the Hopf bifurcation of such a random network nutrient-microorganism model. Noticing that the results of the direction of the Hopf bifurcation in a random network model are rare, we thus try to use the method of multiple time scales (MTS) to derive amplitude equation and determine the direction of the Hopf bifurcation. It is showed that the delayed random network nutrient-microorganism model can exhibit a supercritical or subcritical Hopf bifurcation. Numerical experiments are performed to verify the validity of the theoretical analysis.