Qualitative analysis of a mathematical model for tumor growth under the effect of periodic therapy
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Shihe Xu
Abstract
In this paper, a mathematical model for a solid avascular tumor growth under the effect of periodic therapy is studied. Necessary and sufficient conditions for the global stability of tumor free equilibrium are given. 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 global attractor of all other positive solutions.
Funding source: NSF of China
Award Identifier / Grant number: 11226182
Funding source: NSF of China
Award Identifier / Grant number: 11301474
Funding source: NSF of China
Award Identifier / Grant number: 11171295
Funding source: Foundation for Distinguished Young Teacher in Higher Education of Guangdong, China
Award Identifier / Grant number: Yq2013163
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth
- The one-dimensional heat equation in the Alexiewicz norm
- Qualitative analysis of a mathematical model for tumor growth under the effect of periodic therapy
- On the modification of non-regular linear functionals via addition of the Dirac delta function
Articles in the same Issue
- Frontmatter
- Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth
- The one-dimensional heat equation in the Alexiewicz norm
- Qualitative analysis of a mathematical model for tumor growth under the effect of periodic therapy
- On the modification of non-regular linear functionals via addition of the Dirac delta function
