3 citations · 3 across the 1 of their papers we have counts for
4 papers
On Turing-Turing bifurcation of partial functional differential equations and its induced superposition patterns
Xun Cao, Weihua Jiang
When two Turing modes interact, i.e., Turing-Turing bifurcation occurs, superposition patterns revealing complex dynamical phenomena appear. In this paper, superposition patterns r…
Turing instability and Turing-Hopf bifurcation in diffusive Schnakenberg systems with gene expression time delay
Weihua Jiang, Hongbin Wang, Xun Cao
For delayed reaction-diffusion Schnakenberg systems with Neumann boundary conditions, critical conditions for Turing instability are derived, which are necessary and sufficient. An…
Turing-Hopf bifurcation and spatiotemporal patterns in a ratio-dependent diffusive Holling-Tanner system with time delay
Qi An, Weihua Jiang
The Turing-Hopf type spatiotemporal patterns in a diffusive Holling-Tanner model with discrete time delay is considered. A global Turing bifurcation theorem for and a local T…
Formulation of the normal forms of Turing-Hopf bifurcation in reaction-diffusion systems with time delay
Weihua Jiang, Qi An, Junping Shi
The normal forms up to the third order for a Hopf-steady state bifurcation of a general system of partial functional differential equations (PFDEs) is derived based on the center m…