可数多类型传染病模型的大数定律
Laws of large numbers for epidemic models with countably many types
摘要：
在寄生虫病的建模中，很自然地会根据宿主携带的寄生虫数量来区分宿主，从而导致可数无限的类型空间。证明确定性方程的类似物，在许多类型的模型中使用，作为对潜在随机模型的“大数定律”近似，以前要么是使用一些特殊的结构逐案进行，要么没有尝试。在本文中，我们证明了这类的一般定理，并补充它的收敛速率在$\ell_1$ -范数。
英文摘要：
In modeling parasitic diseases, it is natural to distinguish hosts according to the number of parasites that they carry, leading to a countably infinite type space. Proving the analogue of the deterministic equations, used in models with finitely many types as a "law of large numbers" approximation to the underlying stochastic model, has previously either been done case by case, using some special structure, or else not attempted. In this paper we prove a general theorem of this sort, and complement it with a rate of convergence in the $\ell_1$-norm.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
