Nadeau Julie, McCluskey C Connell
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada.
Appl Math Comput. 2014 Mar 1;230:473-483. doi: 10.1016/j.amc.2013.12.124. Epub 2014 Jan 23.
A general compartmental model of disease transmission is studied. The generality comes from the fact that new infections may enter any of the infectious classes and that there is an ordering of the infectious classes so that individuals can be permitted (or not) to pass from one class to the next. The model includes staged progression, differential infectivity, and combinations of the two as special cases. The exact etiology of feline infectious peritonitis and its connection to coronavirus is unclear, with two competing theories - mutation process vs multiple virus strains. We apply the model to each of these theories, showing that in either case, one should expect traditional threshold dynamics. A further application to tuberculosis with multiple progression routes through latency is also presented.
研究了一种疾病传播的通用 compartmental 模型。其通用性源于新感染可能进入任何一个感染类别，并且感染类别存在一种排序，使得个体可以（或不可以）从一个类别进入下一个类别。该模型包括分阶段进展、不同的传染性以及两者的组合作为特殊情况。猫传染性腹膜炎的确切病因及其与冠状病毒的联系尚不清楚，存在两种相互竞争的理论——突变过程与多种病毒株。我们将该模型应用于这些理论中的每一种，表明在任何一种情况下，都应该预期传统的阈值动态。还给出了该模型在具有多种通过潜伏期进展途径的结核病中的进一步应用。
