论文标题
肝炎内宿内模型的现象学
Phenomenology of an in-host model of hepatitis C
论文作者
论文摘要
本文对丙型肝炎内托管模型的溶液的全局性质进行了分析，以进行其参数的一般值。展示了先前未知的稳定稳态在正矫正边界上。事实证明，该模型展示了Hopf分叉及其周期性解决方案。给出了阳性稳态的一般参数化，并根据某个基本的生殖比的值确定稳态数量奇数甚至偶数时。这特别意味着，当这种生殖比大于一个繁殖比时，总是存在至少一个正稳态。当生殖比通过一个人时，从无感染状态分叉的正稳态始终是稳定的，即在此模型中没有向后分叉。
This paper carries out an analysis of the global properties of solutions of an in-host model of hepatitis C for general values of its parameters. A previously unknown stable steady state on the boundary of the positive orthant is exhibited. It is proved that the model exhibits Hopf bifurcations and hence periodic solutions. A general parametrization of positive steady states is given and it is determined when the number of steady states is odd or even, according to the value of a certain basic reproductive ratio. This implies, in particular, that when this reproductive ratio is greater than one there always exists at least one positive steady state. A positive steady state which bifurcates from an infection-free state when the reproductive ratio passes through one is always stable, i.e. no backward bifurcation occurs in this model.
