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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…