论文标题
随机和确定性的SIS斑块模型
Stochastic and deterministic SIS patch model
论文作者
论文摘要
在这里，我们考虑了一个SIS流行模型，其中个体分布在几个不同的斑块上。我们构建了一个随机模型，然后证明它会收敛到确定性模型，因为总人口大小趋向于无穷大。此外，我们表明了独特的地方性平衡的存在和全球稳定性，只要易感和传染性个体的迁移速率是平等的。最后，我们将平衡与均匀模型的平衡以及孤立的斑块的平衡进行了比较。
Here, we consider an SIS epidemic model where the individuals are distributed on several distinct patches. We construct a stochastic model and then prove that it converges to a deterministic model as the total population size tends to infinity. Furthermore, we show the existence and the global stability of a unique endemic equilibrium provided that the migration rates of susceptible and infectious individuals are equal. Finally, we compare the equilibra with those of the homogeneous model, and with those of isolated patches.
