Dynamics in a delayed diffusive cell cycle model
Keyword(s):
In this paper, we construct a delayed diffusive model to explore the spatial dynamics of cell cycle in G2/M transition. We first obtain the local stability of the unique positive equilibrium for this model, which is irrelevant to the diffusion. Then, through investigating the delay-induced Hopf bifurcation in this model, we establish the existence of spatially homogeneous and inhomogeneous bifurcating periodic solutions. Applying the normal form and center manifold theorem of functional partial differential equations, we also determine the stability and direction of these bifurcating periodic solutions. Finally, numerical simulations are presented to validate our theoretical results.
2013 ◽
Vol 2013
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pp. 1-11
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2021 ◽
Vol 26
(3)
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pp. 375-395
2020 ◽
Vol 30
(03)
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pp. 2050039
2012 ◽
Vol 2012
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pp. 1-28
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2016 ◽
Vol 26
(03)
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pp. 1650047
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2013 ◽
Vol 2013
◽
pp. 1-10
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