论文标题
免疫状态的一般模型的渐近特性
Asymptotic properties of a general model of immune status
论文作者
论文摘要
我们考虑了免疫系统动力学模型。该模型基于三个因素：偶尔提升和连续减弱免疫力以及对随后增强事件之间的时期的一般描述。抗体浓度根据非马克维亚过程而变化。该浓度的分布密度在具有积分边界条件的某些部分微分方程中。我们检查该系统是否会产生随机的半群，并研究该半群的长期行为。特别是我们证明了其渐近稳定性的定理。
We consider a model of dynamics of the immune system. The model is based on three factors: occasional boosting and continuous waning of immunity and a general description of the period between subsequent boosting events. The antibody concentration changes according to a non-Markovian process. The density of the distribution of this concentration satisfies some partial differential equation with an integral boundary condition. We check that this system generates a stochastic semigroup and we study the long-time behaviour of this semigroup. In particular we prove a theorem on its asymptotic stability.
