Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
836994 | Nonlinear Analysis: Real World Applications | 2017 | 14 Pages |
Abstract
In this paper, we consider a chemical reaction–diffusion model with Degn–Harrison reaction scheme under homogeneous Neumann boundary conditions. The existence of Hopf bifurcation to ordinary differential equation (ODE) and partial differential equation (PDE) models are derived, respectively. Furthermore, by using the center manifold theory and the normal form method, we establish the bifurcation direction and stability of periodic solutions. Finally, some numerical simulations are shown to support the analytical results, and to reveal new phenomenon on the Hopf bifurcation.
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Authors
Yaying Dong, Shanbing Li, Shunli Zhang,