An S L 1 L 2 I 1 I 2 A 1 A 2 R epidemic model is formulated that describes the spread of an
epidemic in a population. The model incorporates an Erlang distribution of times of sojourn in …

Some analytical results are given for a model that describes the propagation of a disease in
a population of individuals who travel between n cities. The model is formulated as a system …

A model is formulated that describes the spatial propagation of a disease that can be
transmitted between multiple species. The spatial component consists, for each species, of a …

Vaccination of both newborns and susceptibles is included in a transmission model for a
disease that confers immunity. The interplay of the vaccination strategy together with the …

A directed graph with cities as vertices and arcs determined by outgoing (or return) travel
represents the mobility component in a population of individuals who travel between n cities. A …

Some continuous time, discrete space, metapopulation models that have been formulated
for disease spread are presented. Motivation for such a formulation with travel between …

Stochastic simulations of network models have become the standard approach to studying
epidemics. We show that many of the predictions of these models can also be obtained from …

A final size relation is derived for a general class of epidemic models, including models with
multiple susceptible classes. The derivation depends on an explicit formula for the basic …

One year into the global COVID-19 pandemic, the focus of attention has shifted to the
emergence and spread of SARS-CoV-2 variants of concern (VOCs). After nearly a year of the …

Compartmental models for influenza that include control by vaccination and antiviral
treatment are formulated. Analytic expressions for the basic reproduction number, control …