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arXiv · 1910.12421

Effective reduction of a three-dimensional circadian oscillator model

Shuang Chen·Jinqiao Duan·Ji Li
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Abstract

We investigate the dynamics of a three-dimensional system modeling a molecular mechanism for the circadian rhythm in Drosophila. We first prove the existence of a compact attractor in the region with biological meaning. Under the assumption that the dimerization reactions are fast, in this attractor we reduce the three-dimensional system to a simpler two-dimensional system on the persistent normally hyperbolic slow manifold.

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Shuang Chen, Jinqiao Duan, Ji Li. 2019-10-28. Effective reduction of a three-dimensional circadian oscillator model. https://doi.org/10.3934/dcdsb.2020349

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