Some bounds on estimates for reproductive ratios derived from the age-specific force of infection

1994 ◽  
Vol 124 (1) ◽  
pp. 9-57 ◽  
Author(s):  
David Greenhalgh ◽  
Klaus Dietz
2019 ◽  
Author(s):  
C. M. Herzog ◽  
W. A. de Glanville ◽  
B. J. Willett ◽  
I. M. Cattadori ◽  
V. Kapur ◽  
...  

AbstractPeste des petits ruminants virus (PPRV) causes a contagious disease of high morbidity and mortality in global sheep and goat populations and leads to approximately $2 billion USD in global annual losses. PPRV is currently targeted by the Food and Agricultural Organization and World Animal Health Organization for global eradication by 2030. To better control this disease and inform eradication strategies, an improved understanding of how PPRV risk varies by age is needed. Our study used a piece-wise catalytic model to estimate the age-specific force of infection (FOI, per capita infection rate of susceptible hosts) among sheep, goats, and cattle from a cross-sectional serosurvey dataset collected in 2016 in Tanzania. Apparent seroprevalence rose with age, as would be expected if PPRV is a fully-immunizing infection, reaching 53.6%, 46.8%, and 11.6% (true seroprevalence: 52.7%, 52.8%, 39.2%) for sheep, goats, and cattle, respectively. Seroprevalence was significantly higher among pastoral animals than agropastoral animals across all ages, with pastoral sheep and goat seroprevalence approaching 70% and 80%, respectively, suggesting endemicity in pastoral settings. The best fitting piece-wise catalytic models included merged age groups: two age groups for sheep, three age groups for goats, and four age groups for cattle. However, the signal of these age heterogeneities was weak, with overlapping confidence intervals around force of infection estimates from most models with the exception of a significant FOI peak among 2.5-3.5 year old pastoral cattle. Pastoral animals had a higher force of infection overall, and across a wider range of ages than agropastoral animals. The subtle age-specific force of infection heterogeneities identified in this study among sheep, goats, and cattle suggest that targeting control efforts by age may not be as effective as targeting by other risk factors, such as management system type. Further research should investigate how specific husbandry practices affect PPRV transmission.Author SummaryAge differences in transmission are important for many infections, and can help target control programs. We used an age-structured serosurvey of Tanzanian sheep, goats, and cattle to explore peste des petits ruminants virus transmission. We estimated rate at which susceptibles acquire infection (force of infection) to determine which age group(s) had the highest transmission rates. We hypothesized that an age-varying model with multiple age groups would better fit the data than an age constant model and that the highest transmission rates would appear in the youngest age groups. Furthermore, we hypothesized evidence of immunity would increase with age. The data supported our hypothesis at the species level and the best fitting models merged age groups: two, three, and four age group models were best for sheep, goats, and cattle, respectively. The highest rates occurred among younger age groups and evidence of immunity rose with age for all species. In most models, confidence interval estimates overlapped, but there was a significant FOI peak among 2.3-3.5 year old pastoral cattle. Importantly, these data indicate that there is not sufficient evidence to support targeted control by age group, and that targeted control based on production system should be more effective.


2014 ◽  
Vol 111 (26) ◽  
pp. E2694-E2702 ◽  
Author(s):  
Robert C. Reiner ◽  
Steven T. Stoddard ◽  
Brett M. Forshey ◽  
Aaron A. King ◽  
Alicia M. Ellis ◽  
...  

2018 ◽  
Vol 146 (8) ◽  
pp. 961-969 ◽  
Author(s):  
F. Alarid-Escudero ◽  
E. A. Enns ◽  
R. F. MacLehose ◽  
J. Parsonnet ◽  
J. Torres ◽  
...  

AbstractHelicobacter pylori(H. pylori)is present in the stomach of half of the world's population. The force of infection describes the rate at which susceptibles acquire infection. In this article, we estimated the age-specific force of infection ofH. pyloriin Mexico. Data came from a nationalH. pyloriseroepidemiology survey collected in Mexico in 1987–88. We modelled the number of individuals withH. pyloriat a given age as a binomial random variable. We assumed that the cumulative risk of infection by a given age follows a modified exponential catalytic model, allowing some fraction of the population to remain uninfected. The cumulative risk of infection was modelled for each state in Mexico and were shrunk towards the overall national cumulative risk curve using Bayesian hierarchical models. The proportion of the population that can be infected (i.e. susceptible population) is 85.9% (95% credible interval (CR) 84.3%–87.5%). The constant rate of infection per year of age among the susceptible population is 0.092 (95% CR 0.084–0.100). The estimated force of infection was highest at birth 0.079 (95% CR 0.071–0.087) decreasing to zero as age increases. This Bayesian hierarchical model allows stable estimation of state-specific force of infection by pooling information between the states, resulting in more realistic estimates.


2009 ◽  
Vol 138 (1) ◽  
pp. 108-116 ◽  
Author(s):  
M. J. FERRARI ◽  
A. DJIBO ◽  
R. F. GRAIS ◽  
B. T. GRENFELL ◽  
O. N. BJØRNSTAD

SUMMARYUnderstanding age-specific differences in infection rates can be important in predicting the magnitude of and mortality in outbreaks and targeting age groups for vaccination programmes. Standard methods to estimate age-specific rates assume that the age-specific force of infection is constant in time. However, this assumption may easily be violated in the face of a highly variable outbreak history, as recently observed for acute immunizing infections like measles, in strongly seasonal settings. Here we investigate the biases that result from ignoring such fluctuations in incidence and present a correction based on the epidemic history. We apply the method to data from a measles outbreak in Niamey, Niger and show that, despite a bimodal age distribution of cases, the estimated age-specific force of infection is unimodal and concentrated in young children (<5 years) consistent with previous analyses of age-specific rates in the region.


BMJ Open ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. e044644
Author(s):  
Xueting Qiu ◽  
Joel C Miller ◽  
Derek R MacFadden ◽  
William P Hanage

IntroductionSince its onset, the COVID-19 pandemic has caused significant morbidity and mortality worldwide, with particularly severe outcomes in healthcare institutions and congregate settings. To mitigate spread, healthcare systems have been cohorting patients to limit contacts between uninfected patients and potentially infected patients or healthcare workers (HCWs). A major challenge in managing the pandemic is the presence of currently asymptomatic/presymptomatic individuals capable of transmitting the virus, who could introduce COVID-19 into uninfected cohorts. The optimal combination of personal protective equipment (PPE), testing and other approaches to prevent these events is unclear, especially in light of ongoing limited resources.MethodsUsing stochastic simulations with a susceptible-exposed-infected-recovered dynamic model, we quantified and compared the impacts of PPE use, patient and HCWs surveillance testing and subcohorting strategies.ResultsIn the base case without testing or PPE, the healthcare system was rapidly overwhelmed, and became a net contributor to the force of infection. We found that effective use of PPE by both HCWs and patients could prevent this scenario, while random testing of apparently asymptomatic/presymptomatic individuals on a weekly basis was less effective. We also found that even imperfect use of PPE could provide substantial protection by decreasing the force of infection. Importantly, we found that creating smaller patient/HCW-interaction subcohorts can provide additional resilience to outbreak development with limited resources.ConclusionThese findings reinforce the importance of ensuring adequate PPE supplies even in the absence of testing and provide support for strict subcohorting regimens to reduce outbreak potential in healthcare institutions.


2002 ◽  
Vol 23 (6) ◽  
pp. 610-624 ◽  
Author(s):  
Nicolas Ferré ◽  
Xavier Assfeld ◽  
Jean-Louis Rivail

2012 ◽  
Vol 229-231 ◽  
pp. 1671-1674
Author(s):  
Jian Feng Chen ◽  
Xi Yuan Chen ◽  
Xue Fen Zhu

Recent dramatic progress in strapdown inertial navigation system (SINS) algorithm is the design of SINS principle based on screw algorithm, utilizing dual quaternion. In this paper, the screw algorithm consisting of angular rate and specific force is optimized under a special screw motion. The special screw motion is derived from classical screw motion and can be taken as a complicated sculling motion including classical coning motion. Subsequently, the coefficients in the multi-sample screw algorithms and the corresponding algorithm drifts are determined by minimizing the error on direct component. The simulation results of attitude and velocity errors agree with the optimization goals, except when the number of subinterval is greater than 2. An explanation of this phenomenon is delivered.


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