4 papers
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…
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…
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…