Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838127 | Nonlinear Analysis: Real World Applications | 2010 | 12 Pages |
Abstract
In this paper, we have investigated a homogeneous reaction–diffusion bimolecular model with autocatalysis and saturation law subject to Neumann boundary conditions. We mainly consider Hopf bifurcations and steady state bifurcations which bifurcate from the unique constant positive equilibrium solution of the system. Our results suggest the existence of spatially non-homogeneous periodic orbits and non-constant positive steady state solutions, which implies the possibility of rich spatiotemporal patterns in this diffusive biomolecular system. Numerical examples are presented to support our theoretical analysis.
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Authors
Fengqi Yi, Jianxin Liu, Junjie Wei,