Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024504 | Nonlinear Analysis: Real World Applications | 2017 | 20 Pages |
Abstract
We consider a free boundary tumor model with vasculature which supply nutrients to the tumor, so that âÏân+β(Ïâϯ)=0 holds on the boundary, where a positive constant β is the rate of nutrient supply to the tumor and ϯ is the nutrient concentration outside the tumor. The tumor cells proliferate at a rate μ. We show that for each μ2,μ4,μ6,μ8,â¯, symmetry-breaking stationary solutions bifurcate from the radially symmetric stationary solutions.
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Authors
Yaodan Huang, Zhengce Zhang, Bei Hu,