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Global dynamics of an age-structured viral infection model with general incidence function and absorption

机译:一般发病函数和吸收的年龄结构病毒感染模型的全球动态

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摘要

In this paper, we propose an age-structured viral infection model with general incidence function that takes account of the loss of viral particles due to their absorption into susceptible cells. The proposed model is described by partial differential and ordinary differential equations. We first show that the model is mathematically and biologically well-posed. Furthermore, the uniform persistence and the global behavior of the model are investigated. Moreover, the age-structured models and results presented in many previous studies are improved and generalized.
机译:在本文中,我们提出了一种具有一般入射函数的年龄结构化病毒感染模型,其考虑了由于它们对易感细胞的吸收而导致病毒颗粒的损失。 所提出的模型由部分差分和常微分方程描述。 我们首先表明该模型是在数学上和生物学上良好的。 此外,研究了统一的持久性和模型的全局行为。 此外,在许多先前研究中提出的年龄结构模型和结果得到改善和广义。

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