一类具有CTL免疫反应和抗原变异的病毒模型的全局稳定性
Global stability for a class of virus models with CTL immune response and antigenic variation
摘要：
我们研究了一类考虑CTL免疫反应和抗原变异的体内病毒动力学模型的全局稳定性。这门课包括了许多被广泛用于HIV动力学建模的模型。我们证明了这类模型是全局渐近稳定的，在温和的假设下，通过使用适当的李雅普诺夫函数。我们还计算了整个生物学相关参数范围的稳定平衡点。作为副产品，我们能够确定持久菌株的多样性。
英文摘要：
We study the global stability of a class of models for in-vivo virus dynamics, that take into account the CTL immune response and display antigenic variation. This class includes a number of models that have been extensively used to model HIV dynamics. We show that models in this class are globally asymptotically stable, under mild hypothesis, by using appropriate Lyapunov functions. We also characterise the stable equilibrium points for the entire biologically relevant parameter range. As a byproduct, we are able to determine what is the diversity of the persistent strains.
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