Abstract The problem of guaranteed computation of all steady states of the Marchuk–Petrov model with fixed values of parameters and analysis of their stability are considered. It is shown that the system of ten nonlinear equations, nonnegative solutions of which are steady states, can be reduced to a system of two equations. The region of possible nonnegative solutions is analytically localized. An effective technology for computing all nonnegative solutions and analyzing their stability is proposed. The obtained results provide a computational basis for the study of chronic forms of viral infections using the Marchuk–Petrov model.

中文翻译：

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抗病毒免疫反应的 Marchuk-Petrov 模型的数值稳态分析

摘要 考虑了参数固定值的Marchuk-Petrov模型所有稳态的保证计算问题及其稳定性分析。结果表明，十个非线性方程组，其非负解为稳态，可以简化为两个方程组。可能的非负解的区域是分析定位的。提出了一种计算所有非负解并分析其稳定性的有效技术。获得的结果为使用 Marchuk-Petrov 模型研究慢性形式的病毒感染提供了计算基础。