Turing-Hopf bifurcation and spatio-temporal patterns of a ratio-dependent Holling-Tanner system with diffusion

• Published in: arXiv.org
• Main Authors: An, Qi, Jiang, Weihua
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 08.11.2017
• Subjects: Boundary conditions; Computer simulation; Economic models; Hopf bifurcation; Mathematics - Dynamical Systems

A diffusive ratio-dependent Holling-Tanner system subject to Neumann boundary conditions is considered. The existence of multiple bifurcations, including Turing-Hopf bifurcation, Turing-Truing bifurcation, Hopf-double-Turing bifurcation and triple-Turing bifurcation, are given. Among them, the Turin...