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Double Hopf bifurcation in nonlocal reaction-diffusion systems with spatial average kernel
Zuolin Shen, Shanshan Chen, Junjie Wei
In this paper, we consider a general reaction-diffusion system with nonlocal effects and Neumann boundary conditions, where a spatial average kernel is chosen to be the nonlocal ke…
Hopf bifurcation of a delayed single population model with patch structure
Shanshan Chen, Zuolin Shen, Junjie Wei
In this paper, we show the existence of Hopf bifurcation of a delayed single population model with patch structure. The effect of the dispersal rate on the Hopf bifurcation is cons…
Spatiotemporal patterns near the Turing-Hopf bifurcation in a delay-diffusion mussel-algae model
Zuolin Shen, Junjie Wei
The spatiotemporal patterns of a reaction diffusion mussel-algae system with a delay subject to Neumann boundary conditions is considered. The paper is a continuation of our previo…
Bifurcation Analysis in A Diffusive Mussel-Algae Model with Delay
Zuolin Shen, Junjie Wei
In this paper, we consider the dynamics of a delayed reaction-diffusion mussel-algae system subject to Neumann boundary conditions. When the delay is zero, we show the existence of…