Efficient numerical computation of the basic reproduction number for structured populations. [PDF]
As widely known, the basic reproduction number plays a key role in weighing birth/infection and death/recovery processes in several models of population dynamics. In this general setting, its characterization as the spectral radius of next generation operators is rather elegant, but simultaneously poses serious obstacles to its practical determination.
Breda D+3 more
europepmc +6 more sources
Estimating epidemic exponential growth rate and basic reproduction number
The initial exponential growth rate of an epidemic is an important measure of the severeness of the epidemic, and is also closely related to the basic reproduction number.
Junling Ma
doaj +4 more sources
Heterogeneity in sexual behavior is known to play an important role in the spread of HIV. In 1986, a mathematical model based on ordinary differential equations was introduced to take into account the distribution of sexual activity.
Nicolas Bacaër+3 more
doaj +2 more sources
Estimation of basic reproduction number (R0) of African swine fever (ASF) in mid-size commercial pig farms in Vietnam. [PDF]
Mai NTA+9 more
europepmc +3 more sources
Rnaught: a web tool for estimating the basic reproduction number. [PDF]
Krikella T+5 more
europepmc +2 more sources
Estimation of the basic reproduction number of measles during an outbreak in a partially vaccinated population [PDF]
From March to July 1996 a measles outbreak occurred in northern Luxembourg with 110 reported cases centered around two primary schools (85 cases) and the surrounding community (25 cases). Eighty four suspected cases were confirmed serologically.
Joël Mossong, Claude P. Muller
openalex +5 more sources
The Dynamic Effective Reproductive Number of COVID-19 during the Epidemic in Iran
Background: We aimed to determine the generation time, the best model for estimating reproduction number (R), and to estimate the basic reproduction number (R0) and effective reproduction number (Rt) for COVID-19 in Iran.
Amin Doosti-Irani+6 more
doaj +1 more source
The basic reproduction number for scrapie [PDF]
The basic reproduction number R0 provides a quantitative assessment of the ability of an infectious agent to invade a susceptible host population. A mathematical expression for R0 is derived based on a recently developed model for the spread of scrapie through a flock of sheep.
Nora Hunter+2 more
openaire +3 more sources
Convex Optimization of the Basic Reproduction Number
The basic reproduction number $R_0$ is a fundamental quantity in epidemiological modeling, reflecting the typical number of secondary infections that arise from a single infected individual. While $R_0$ is widely known to scientists, policymakers, and the general public, it has received comparatively little attention in the controls community.
Kevin D. Smith, Francesco Bullo
openaire +2 more sources
Assessment of transmissibility and measures effectiveness of SARS in 8 regions, China, 2002-2003
BackgroundSevere acute respiratory syndrome (SARS) is a form of atypical pneumonia which took hundreds of lives when it swept the world two decades ago.
Jia Rui+14 more
doaj +1 more source