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20172020
most citedHopf bifurcation in a delayed reaction-diffusion-advection population model

5 citations · 6 across the 5 of their papers we have counts for

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math.DS2020

Global dynamics in a predator-prey model with cooperative hunting and Allee effect and bifurcation induced by diffusion and delays

Yanfei Du, Ben Niu, Junjie Wei

We consider the local bifurcation and global dynamics of a predator-prey model with cooperative hunting and Allee effect. For the model with weak cooperation, we prove the existenc…

math.DS20201 cited

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…

math.DS2019

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…

math.DS2018

Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system

Yanfei Du, Ben Niu, Junjie Wei

In this paper, the dynamics of a modified Leslie-Gower predator-prey system with two delays and diffusion is considered. By calculating stability switching curves, the stability of…

math.DS2018

Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect

Daifeng Duan, Ben Niu, Junjie Wei

We investigate a diffusive predator-prey model by incorporating the fear effect into prey population, since the fear of predators could visibly reduce the reproduction of prey. By…

math.DS2018

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…