The classical and modern theorems on convergence, approximation and asymptotic stability of semigroups of operators are presented, and their applications to recent biological models are discussed. This article is part of the theme issue ‘Semigroup applications everywhere’.

中文翻译：

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关于算子半群的收敛性和渐近行为

介绍了关于算子半群的收敛、逼近和渐近稳定性的经典和现代定理，并讨论了它们在最近的生物模型中的应用。这篇文章是主题问题“无处不在的半组应用程序”的一部分。