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Stability and bifurcation analysis of a reaction-diffusion cancer network model with time delays

Chengxian Li  Haihong Liu  Fang Yan  
【摘要】:In this paper, we investigate the dynamics of a delayed diffusive cancer network by micro RNA. Choosing two time delays as the bifurcation parameters, results show that Hopf bifurcation occurs within certain range of the model parameters. Furthermore, combining the normal form method and the center manifold theorem, the explicit formulas which determine the direction of the bifurcation and the stability of the bifurcated periodic solutions are derived. Finally, numerical simulations are carried out to support our theoretical analysis.

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