6 papers
Analysis of a nonlinear necrotic tumor model with angiogenesis and a periodic supply of external nutrients
Huijuan Song, Qian Huang, Zejia Wang
In this paper, we consider a free boundary problem modeling the growth of spherically symmetric necrotic tumors with angiogenesis and a -periodic supply of external nutri…
Hopf bifurcation of a free boundary problem modeling tumor growth with angiogenesis and two time delays
Haihua Zhou, Zejia Wang, Daming Yuan +1
This paper concerns a free boundary problem modeling tumor growth with angiogenesis and two time delays. The two delays represent the time taken for cells to undergo mitosis and mo…
The Impact of Time Delay and Angiogenesis in a Tumor Model
Zejia Wang, Haihua Zhou, Huijuan Song
We consider a free boundary tumor model under the presence of angiogenesis and time delays in the process of proliferation, in which the cell location is incorporated. It is assume…
Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases
Huijuan Song, Wentao Hu, Zejia Wang
This paper is concerned with a nonlinear free boundary problem modeling the growth of spherically symmetric tumors with angiogenesis, set with a Robin boundary condition. In which,…
On the degenerate Cauchy problem for a nonlinear variational wave system, Part I: The same wave speed case
Yanbo Hu, Huijuan Song
We investigate a one-dimensional nonlinear wave system which arises from a variational principle modeling a type of cholesteric liquid crystals. The problem treated here is the Cau…
Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core
Huijuan Song, Bei Hu, Zejia Wang
In this paper, we present a rigorous mathematical analysis of a free boundary problem modeling the growth of a vascular solid tumor with a necrotic core. If the vascular system sup…