4 papers
Assessing the impact of non-vaccinators: quantifying the average length of infection chains in outbreaks of vaccine-preventable disease
Sherry Towers, Linda J. S. Allen, Fred Brauer +1
Analytical expressions for the basic reproduction number, R0, have been obtained in the past for a wide variety of mathematical models for infectious disease spread, along with exp…
Some Models for Epidemics of Vector-Transmitted Diseases
Fred Brauer, Carlos Castillo-Chavez, Anuj Mubayi +1
Vector-transmitted diseases such as dengue fever and chikungunya have been spreading rapidly in many parts of the world. The Zika virus has been known since 1947 and invaded South…
Estimate of the reproduction number of the 2015 Zika virus outbreak in Barranquilla, Colombia, and estimation of the relative role of sexual transmission
Sherry Towers, Fred Brauer, Carlos Castillo-Chavez +3
Background: In 2015, the Zika arbovirus (ZIKV) began circulating in the Americas, rapidly expanding its global geographic range in explosive outbreaks. Unusual among mosquito-borne…
A simple analytical approach to describe disease spread on a network
B. Davoudi, F. Brauer, B. Pourbohloul
We investigate the time evolution of disease spread on a network by using the concept of generations. We derive a set of equations, which can be used to determine the average epide…