Dynamic Analysis on Reaction-diffusion Genetic Regulatory Networks with Delays

In this paper, we propose a reaction-diffusion genetic regulatory network with Neumann boundary conditions. We incorporate the diffusion factors into the delayed mathematical model of genetic networks, and with the time delays, we demonstrate the local stability and Hopf bifurcation in accordance wi...

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Bibliographic Details
Published in:Journal of physics. Conference series Vol. 2999; no. 1; pp. 12009 - 12017
Main Authors: Sun, Qingshan, Lin, Zhi, Wang, Guangwen
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.04.2025
Subjects:
Bifurcation theory
Boundary conditions
Hopf bifurcation
ISSN:1742-6588, 1742-6596
Online Access:Get full text
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Summary:In this paper, we propose a reaction-diffusion genetic regulatory network with Neumann boundary conditions. We incorporate the diffusion factors into the delayed mathematical model of genetic networks, and with the time delays, we demonstrate the local stability and Hopf bifurcation in accordance with the Hopf bifurcation theory. When the sum of the delays exceeds the critical value, a Hopf bifurcation occurs. Finally, we select the appropriate system parameters and present a numerical simulation to illustrate the theoretical analysis.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2999/1/012009