论文标题
具有可变敏感性的一类更新流行模型的全球稳定性特性
Global stability properties of a class of renewal epidemic models with variable susceptibility
论文作者
论文摘要
我们研究了具有可变敏感性的更新型流行模型的全球动力学。我们表明，在这个扩展模型中，存在一个独特的地方性平衡，并证明当$ r_0> 1 $（即存在时）时，它在全球渐近稳定。我们还表明，始终存在的无感染平衡在全球渐近稳定，以$ r_0 \ leq 1 $。
We investigate the global dynamics of a renewal-type epidemic model with variable susceptibility. We show that in this extended model there exists a unique endemic equilibrium and prove that it is globally asymptotically stable when $R_0 > 1$, i.e. when it exists. We also show that the infection-free equilibrium, which exists always, is globally asymptotically stable for $R_0 \leq 1$.
