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一类二重饱和可逆生化反应扩散模型的Hopf分支和Turing不稳定性

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point is stable. When the reversibleР reaction rate is in a certain range, the diffusive coefficient has a great effect on the stability ofР the system. In this case, if the catalyst’s diffusive coefficient is small, then Turing instabilityР occurs. Finally, the parameters satisfying the conditions of the theorem are selected and theР theoretical results are verified by numerical simulations.Р Keywords: second-order saturation; reversible biochemical reaction; Hopf bifurcation; TuringР instabilityР Received: 30 Dec. 2019. Accepted: 06 Nov. 2020.Р Foundation item: The National Natural Science Foundation of China (12126420; 61872227).

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