The Dynamical Properties of a Class of Discrete Smith Diffusion Model

¹ School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China

² School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China

³ School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China

⁴ School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China

⁵ School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China

Abstract

In this paper, the dynamical properties of Smith type diffusion model with Dirichlet boundary conditions are studied. The properties of hyperbolic fixed points and non-hyperbolic fixed points of the model are analyzed. By using the central manifold theorem, the bifurcation phenomenon of the model is studied. The results show that flip, transcritical, pitchfork and Fold-flip bifurcations exist at non-hyperbolic fixed points.

KeywordsHyperbolicfixed PointNon-Hyperbolic Fixed PointCentral Manifold TheoremBifurcation

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The Dynamical Properties of a Class of Discrete Smith Diffusion Model

Abstract

References (9)