86 citations · 169 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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…
Bautin bifurcation in delayed reaction-diffusion systems with application to the Segel-Jackson model
Yuxiao Guo, Ben Niu
In this paper, we present an algorithm for deriving the normal forms of Bautin bifurcations in reaction-diffusion systems with time delays and Neumann boundary conditions. On the c…
Diffusion-induced spatio-temporal oscillations in an epidemic model with two delays
Yanfei Du, Ben Niu, Junjie Wei
We investigate a diffusive, stage-structured epidemic model with the maturation delay and freely-moving delay. Choosing delays and diffusive rates as bifurcation parameters, the on…
Double Hopf bifurcation in delayed reaction-diffusion systems
Yanfei Du, Ben Niu, Yuxiao Guo +1
Double Hopf bifurcation analysis can be used to reveal some complicated dynamical behavior in a dynamical system, such as the existence or coexistence of periodic orbits, quasi-per…