Analysis of a free boundary problem for tumor growth in a periodic external environment

作者：Xu; Shihe

来源：Boundary Value Problems, 2015, 2015(1): 140.

DOI：10.1186/s13661-015-0399-0

• solid avascular tumor
• periodic environment
• stability
• periodic solution

In this paper a free boundary problem for solid avascular tumor growth in a periodic external environment is studied. The periodic environment means that the supply of nutrient and inhibitors is periodic. Sufficient conditions for the global stability of tumor free equilibrium are given. We also prove that if external concentration of nutrients is large, the tumor will not disappear. The conditions under which there exists a unique periodic solution to the model are determined, and we also show that the unique periodic solution is a global attractor of all other positive solutions.

• 出版日期2015-8-13
• 单位肇庆学院