The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients

Author:

He Wenhua,Xing Ruixiang

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference40 articles.

1. Qualitative analysis of a mathematical model for tumor growth with a periodic supply of external nutrients;Bai;Pac. J. Appl. Math.,2013

2. Linear stability for a free boundary tumor model with a periodic supply of external nutrients;Huang;Math. Methods Appl. Sci.,2019

3. Free boundary value problems associated with the growth and development of multicellular spheroids;Byrne;European J. Appl. Math.,1997

4. Analysis of a mathematical model for the growth of tumors;Friedman;J. Math. Biol.,1999

5. Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth;Friedman;Trans. Amer. Math. Soc.,2001

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1. Analysis of the free boundary problem of vascular tumor growth with periodic nutrient supply and time delay terms;International Journal of Biomathematics;2024-06-26

2. Linear stability for a periodic tumor angiogenesis model with free boundary in the presence of inhibitors;Journal of Mathematical Analysis and Applications;2024-03

3. Multi-layered tumor cell cultures with almost periodic nutrient supply;Zeitschrift für Analysis und ihre Anwendungen;2023-09-13

4. Tumor spheroid with almost periodic nutrient and inhibitor supplies;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-08-24

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