We develop a mathematical model to describe the role of antibody-dependent enhancement (ADE) in heterologous secondary infections, assuming that antibodies specific to primary dengue virus (DENV) infection are being produced by immunological memory. The model has a virus-free equilibrium (VFE) and a unique virus-presence equilibrium (VPE). VFE is asymptotically stable when VPE is unstable; and unstable, otherwise. Additionally, there is an asymptotic attractor (not a fixed point) due to the fact that the model assumes unbounded increase in memory cells. In the analysis of the model, ADE must be accounted in the initial stage of infection (a window of time of few days), period of time elapsed from the heterologous infection until the immune system mounting an effective response against the secondary infection. We apply the results yielded by model to evaluate ADE phenomonon in heterologous DENV infection. We also associate the possible occurrence of severe dengue with huge viremia mediated by ADE phenomenon.

中文翻译：

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描述登革热异源继发感染中抗体依赖性增强作用的简单数学模型。

假设特定于初级登革热病毒（DENV）感染的抗体是由免疫记忆产生的，我们开发了一种数学模型来描述抗体依赖性增强（ADE）在异源继发感染中的作用。该模型具有无病毒平衡（VFE）和独特的病毒存在平衡（VPE）。当VPE不稳定时，VFE渐近稳定；并不稳定，否则。此外，由于模型假定存储单元无限制地增加，因此存在渐近吸引子（不是固定点）。在模型分析中，必须在感染的初始阶段（几天的时间窗口）考虑ADE，即从异源感染到免疫系统对继发感染做出有效反应之前的一段时间。我们应用模型产生的结果来评估异源DENV感染中的ADE现象。我们还将严重登革热的可能发生与由ADE现象介导的巨大病毒血症联系起来。