Stability of stationary solutions for the glioma growth equations with radial or axial symmetries

We investigate a class of nonlinear time‐partial differential equations describing the growth of glioma cells. The main results show sufficient conditions for the stability of stationary solutions for these kind of equations. More precisely, we study different spatial variables involving radial or a...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2021-10, Vol.44 (15), p.12021-12034
Main Authors: Polovinkina, Marina V., Debbouche, Amar, Polovinkin, Igor P., David, Sergio A.
Format: Article
Language:English
Subjects:
glioma cells
Partial differential equations
Stability
stationary solutions
symmetry
time‐partial differential equations
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Summary:We investigate a class of nonlinear time‐partial differential equations describing the growth of glioma cells. The main results show sufficient conditions for the stability of stationary solutions for these kind of equations. More precisely, we study different spatial variables involving radial or axial symmetries. In addition, we also numerically simulate the system based on three distinct scenarios by considering symmetry across all spatial variables. The numerical results confirm the presence of possible stable states.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7194