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Bifurcation analysis in a hematopoietic model with delayed Feedback*

机译:具有延迟反馈的造血模型中的分叉分析*

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摘要

In this paper, a hematopoietic model is considered. The distribution of the eigenvalues is investigated, and hence a bifurcation set is provided in an appropriate parameter plane. It is found that there are stability switches when the parameter varies, and Hopf bifurcations occur when the parameter passes through a sequence of critical values. Furthermore, the stability and direction of the Hopf bifurcation are determined by applying the normal form and center manifold theory. Then, some numerical simulations are performed to illustrate the analytic results.
机译:本文考虑了造血模型。研究了特征值的分布,因此在适当的参数平面中提供了分叉集。发现当参数改变时存在稳定性开关,并且当参数通过一系列临界值时发生霍普夫分支。此外,霍普夫分支的稳定性和方向是通过应用规范形式和中心流形理论确定的。然后,进行一些数值模拟以说明分析结果。

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