3 papers
math.DS2024
Equivariant Hopf bifurcation arising in circular-distributed predator-prey interaction with taxis
Yaqi Chen, Xianyi Zeng, Ben Niu
In this paper, we study the Rosenzweig-MacArthur predator-prey model with predator-taxis and time delay defined on a disk. Theoretically, we studied the equivariant Hopf bifurcatio…
math.DS2023
Spatiotemporal Patterns Induced by Turing-Hopf Interaction and Symmetry on a Disk
Yaqi Chen, Xianyi Zeng, Ben Niu
Turing bifurcation and Hopf bifurcation are two important kinds of transitions giving birth to inhomogeneous solutions, in spatial or temporal ways. On a disk, these two bifurcatio…
math.DS2023
Equivariant Hopf Bifurcation in a Class of Partial Functional Differential Equations on a Circular Domain
Yaqi Chen, Xianyi Zeng, Ben Niu
Circular domains frequently appear in the fields of ecology, biology and chemistry. In this paper, we investigate the equivariant Hopf bifurcation of partial functional differentia…