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.

中文翻译：

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具有径向或轴对称性的神经胶质瘤生长方程的平稳解的稳定性

我们研究了一类描述神经胶质瘤细胞生长的非线性时间偏微分方程。主要结果显示了这类方程平稳解稳定性的充分条件。更准确地说，我们研究涉及径向或轴对称性的不同空间变量。此外，我们还通过考虑所有空间变量的对称性，对基于三个不同场景的系统进行数值模拟。数值结果证实了可能的稳定状态的存在。