We prove a sufficient condition for the stability of a stationary solution to a system of nonlinear partial differential equations of the diffusion model describing the growth of malignant tumors. We also numerically simulate stable and unstable scenarios involving the interaction between tumor and immune cells.

中文翻译：

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肿瘤过程扩散模型中平稳解的稳定性

我们证明了描述恶性肿瘤生长的扩散模型的非线性偏微分方程组的平稳解的稳定性的充分条件。我们还数值模拟涉及肿瘤和免疫细胞之间相互作用的稳定和不稳定场景。