3 papers
math.FA2022
A Degenerate Hopf Bifurcation Theorem in Infinite Dimensions
Hongjing Pan, Ruixiang Xing, Zhannan Zhuang
A Hopf bifurcation theorem is established for the abstract evolution equation in infinite dimensions under the degeneracy condition $Re μ^{…
math.AP2021
The existence of periodic solution and asymptotic behavior of solutions for a multi-layer tumor model with a periodic provision of external nutrients
Wenhua He, Ruixiang Xing
In this paper, we consider a multi-layer tumor model with a periodic provision of external nutrients. The domain occupied by tumor has a different shape (flat shape) than spherical…
math.AP2020
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients
Wenhua He, Ruixiang Xing
We study a free boundary problem modeling tumor growth with a T-periodic supply of external nutrients. The model contains two parameters and . We first show…