Dynamics in a delayed diffusive cell cycle model
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 bifu...
| मुख्य लेखकों: | , , |
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| स्वरूप: | लेख |
| भाषा: | English |
| प्रकाशित: |
Vilnius University Press
2018-10-01
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| श्रृंखला: | Nonlinear Analysis |
| विषय: | |
| ऑनलाइन पहुंच: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13159 |
| सारांश: | 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. |
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| आईएसएसएन: | 1392-5113 2335-8963 |