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1.
Proc Natl Acad Sci U S A ; 120(22): e2221887120, 2023 05 30.
Article in English | MEDLINE | ID: covidwho-2325449

ABSTRACT

Estimating the differences in the incubation-period, serial-interval, and generation-interval distributions of SARS-CoV-2 variants is critical to understanding their transmission. However, the impact of epidemic dynamics is often neglected in estimating the timing of infection-for example, when an epidemic is growing exponentially, a cohort of infected individuals who developed symptoms at the same time are more likely to have been infected recently. Here, we reanalyze incubation-period and serial-interval data describing transmissions of the Delta and Omicron variants from the Netherlands at the end of December 2021. Previous analysis of the same dataset reported shorter mean observed incubation period (3.2 d vs. 4.4 d) and serial interval (3.5 d vs. 4.1 d) for the Omicron variant, but the number of infections caused by the Delta variant decreased during this period as the number of Omicron infections increased. When we account for growth-rate differences of two variants during the study period, we estimate similar mean incubation periods (3.8 to 4.5 d) for both variants but a shorter mean generation interval for the Omicron variant (3.0 d; 95% CI: 2.7 to 3.2 d) than for the Delta variant (3.8 d; 95% CI: 3.7 to 4.0 d). The differences in estimated generation intervals may be driven by the "network effect"-higher effective transmissibility of the Omicron variant can cause faster susceptible depletion among contact networks, which in turn prevents late transmission (therefore shortening realized generation intervals). Using up-to-date generation-interval distributions is critical to accurately estimating the reproduction advantage of the Omicron variant.


Subject(s)
COVID-19 , Epidemics , Humans , SARS-CoV-2/genetics , COVID-19/epidemiology , Netherlands/epidemiology
2.
PNAS Nexus ; 2(4): pgad106, 2023 Apr.
Article in English | MEDLINE | ID: covidwho-2301518

ABSTRACT

Asymptomatic infections have hampered the ability to characterize and prevent the transmission of SARS-CoV-2 throughout the pandemic. Although asymptomatic infections reduce severity at the individual level, they can make population-level outcomes worse if asymptomatic individuals-unaware they are infected-transmit more than symptomatic individuals. Using an epidemic model, we show that intermediate levels of asymptomatic infection lead to the highest levels of epidemic fatalities when the decrease in symptomatic transmission, due either to individual behavior or mitigation efforts, is strong. We generalize this result to include presymptomatic transmission, showing that intermediate levels of nonsymptomatic transmission lead to the highest levels of fatalities. Finally, we extend our framework to illustrate how the intersection of asymptomatic spread and immunity profiles determine epidemic trajectories, including population-level severity, of future variants. In particular, when immunity provides protection against symptoms, but not against infections or deaths, epidemic trajectories can have faster growth rates and higher peaks, leading to more total deaths. Conversely, even modest levels of protection against infection can mitigate the population-level effects of asymptomatic spread.

3.
Elife ; 122023 02 22.
Article in English | MEDLINE | ID: covidwho-2268352

ABSTRACT

Excess mortality studies provide crucial information regarding the health burden of pandemics and other large-scale events. Here, we use time series approaches to separate the direct contribution of SARS-CoV-2 infection on mortality from the indirect consequences of the pandemic in the United States. We estimate excess deaths occurring above a seasonal baseline from March 1, 2020 to January 1, 2022, stratified by week, state, age, and underlying mortality condition (including COVID-19 and respiratory diseases; Alzheimer's disease; cancer; cerebrovascular diseases; diabetes; heart diseases; and external causes, which include suicides, opioid overdoses, and accidents). Over the study period, we estimate an excess of 1,065,200 (95% Confidence Interval (CI) 909,800-1,218,000) all-cause deaths, of which 80% are reflected in official COVID-19 statistics. State-specific excess death estimates are highly correlated with SARS-CoV-2 serology, lending support to our approach. Mortality from 7 of the 8 studied conditions rose during the pandemic, with the exception of cancer. To separate the direct mortality consequences of SARS-CoV-2 infection from the indirect effects of the pandemic, we fit generalized additive models (GAM) to age- state- and cause-specific weekly excess mortality, using covariates representing direct (COVID-19 intensity) and indirect pandemic effects (hospital intensive care unit (ICU) occupancy and measures of interventions stringency). We find that 84% (95% CI 65-94%) of all-cause excess mortality can be statistically attributed to the direct impact of SARS-CoV-2 infection. We also estimate a large direct contribution of SARS-CoV-2 infection (≥67%) on mortality from diabetes, Alzheimer's, heart diseases, and in all-cause mortality among individuals over 65 years. In contrast, indirect effects predominate in mortality from external causes and all-cause mortality among individuals under 44 years, with periods of stricter interventions associated with greater rises in mortality. Overall, on a national scale, the largest consequences of the COVID-19 pandemic are attributable to the direct impact of SARS-CoV-2 infections; yet, the secondary impacts dominate among younger age groups and in mortality from external causes. Further research on the drivers of indirect mortality is warranted as more detailed mortality data from this pandemic becomes available.


Subject(s)
COVID-19 , Neoplasms , Suicide , Humans , United States , COVID-19/epidemiology , Pandemics , SARS-CoV-2
4.
Proc Natl Acad Sci U S A ; 119(41): e2213525119, 2022 10 11.
Article in English | MEDLINE | ID: covidwho-2287541

ABSTRACT

Behavioral responses influence the trajectories of epidemics. During the COVID-19 pandemic, nonpharmaceutical interventions (NPIs) reduced pathogen transmission and mortality worldwide. However, despite the global pandemic threat, there was substantial cross-country variation in the adoption of protective behaviors that is not explained by disease prevalence alone. In particular, many countries show a pattern of slow initial mask adoption followed by sharp transitions to high acceptance rates. These patterns are characteristic of behaviors that depend on social norms or peer influence. We develop a game-theoretic model of mask wearing where the utility of wearing a mask depends on the perceived risk of infection, social norms, and mandates from formal institutions. In this model, increasing pathogen transmission or policy stringency can trigger social tipping points in collective mask wearing. We show that complex social dynamics can emerge from simple individual interactions and that sociocultural variables and local policies are important for recovering cross-country variation in the speed and breadth of mask adoption. These results have implications for public health policy and data collection.


Subject(s)
COVID-19 , Masks , Pandemics , COVID-19/epidemiology , COVID-19/prevention & control , Humans , Pandemics/prevention & control , Public Policy , Risk , SARS-CoV-2 , Social Conditions
5.
PLoS Comput Biol ; 19(2): e1010896, 2023 02.
Article in English | MEDLINE | ID: covidwho-2243775

ABSTRACT

Identifying drivers of viral diversity is key to understanding the evolutionary as well as epidemiological dynamics of the COVID-19 pandemic. Using rich viral genomic data sets, we show that periods of steadily rising diversity have been punctuated by sudden, enormous increases followed by similarly abrupt collapses of diversity. We introduce a mechanistic model of saltational evolution with epistasis and demonstrate that these features parsimoniously account for the observed temporal dynamics of inter-genomic diversity. Our results provide support for recent proposals that saltational evolution may be a signature feature of SARS-CoV-2, allowing the pathogen to more readily evolve highly transmissible variants. These findings lend theoretical support to a heightened awareness of biological contexts where increased diversification may occur. They also underline the power of pathogen genomics and other surveillance streams in clarifying the phylodynamics of emerging and endemic infections. In public health terms, our results further underline the importance of equitable distribution of up-to-date vaccines.


Subject(s)
COVID-19 , SARS-CoV-2 , Humans , SARS-CoV-2/genetics , COVID-19/epidemiology , Pandemics , Epistasis, Genetic/genetics , Genomics
6.
J Glob Health ; 13: 04007, 2023 Feb 03.
Article in English | MEDLINE | ID: covidwho-2228613

ABSTRACT

Background: The emergence of COVID-19 triggered the massive implementation of non-pharmaceutical interventions (NPI) which impacted the circulation of respiratory syncytial virus (RSV) during the 2020/2021 season. Methods: A time-series susceptible-infected-recovered (TSIR) model was used early September 2021 to forecast the implications of this disruption on the future 2021/2022 RSV epidemic in Lyon urban population. Results: When compared to observed hospital-confirmed cases, the model successfully captured the early start, peak timing, and end of the 2021/2022 RSV epidemic. These simulations, added to other streams of surveillance data, shared and discussed among the local field experts were of great value to mitigate the consequences of this atypical RSV outbreak on our hospital paediatric department. Conclusions: TSIR model, fitted to local hospital data covering large urban areas, can produce plausible post-COVID-19 RSV simulations. Collaborations between modellers and hospital management (who are both model users and data providers) should be encouraged in order to validate the use of dynamical models to timely allocate hospital resources to the future RSV epidemics.


Subject(s)
COVID-19 , Respiratory Syncytial Virus Infections , Respiratory Syncytial Virus, Human , Child , Humans , Infant , Respiratory Syncytial Virus Infections/epidemiology , Respiratory Syncytial Virus Infections/prevention & control , Seasons , COVID-19/epidemiology , France/epidemiology
7.
Epidemiology ; 33(6): 797-807, 2022 Nov 01.
Article in English | MEDLINE | ID: covidwho-2190880

ABSTRACT

BACKGROUND: Marine recruits training at Parris Island experienced an unexpectedly high rate of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection, despite preventive measures including a supervised, 2-week, pre-entry quarantine. We characterize SARS-CoV-2 transmission in this cohort. METHODS: Between May and November 2020, we monitored 2,469 unvaccinated, mostly male, Marine recruits prospectively during basic training. If participants tested negative for SARS-CoV-2 by quantitative polymerase chain reaction (qPCR) at the end of quarantine, they were transferred to the training site in segregated companies and underwent biweekly testing for 6 weeks. We assessed the effects of coronavirus disease 2019 (COVID-19) prevention measures on other respiratory infections with passive surveillance data, performed phylogenetic analysis, and modeled transmission dynamics and testing regimens. RESULTS: Preventive measures were associated with drastically lower rates of other respiratory illnesses. However, among the trainees, 1,107 (44.8%) tested SARS-CoV-2-positive, with either mild or no symptoms. Phylogenetic analysis of viral genomes from 580 participants revealed that all cases but one were linked to five independent introductions, each characterized by accumulation of mutations across and within companies, and similar viral isolates in individuals from the same company. Variation in company transmission rates (mean reproduction number R 0 ; 5.5 [95% confidence interval [CI], 5.0, 6.1]) could be accounted for by multiple initial cases within a company and superspreader events. Simulations indicate that frequent rapid-report testing with case isolation may minimize outbreaks. CONCLUSIONS: Transmission of wild-type SARS-CoV-2 among Marine recruits was approximately twice that seen in the community. Insights from SARS-CoV-2 outbreak dynamics and mutations spread in a remote, congregate setting may inform effective mitigation strategies.


Subject(s)
COVID-19 , Disease Outbreaks , Military Personnel , COVID-19/epidemiology , COVID-19/prevention & control , Disease Outbreaks/prevention & control , Female , Humans , Male , Military Personnel/statistics & numerical data , Phylogeny , SARS-CoV-2/genetics , SARS-CoV-2/isolation & purification , United States/epidemiology
8.
Proc Natl Acad Sci U S A ; 119(49): e2208895119, 2022 Dec 06.
Article in English | MEDLINE | ID: covidwho-2133964

ABSTRACT

COVID-19 nonpharmaceutical interventions (NPIs), including mask wearing, have proved highly effective at reducing the transmission of endemic infections. A key public health question is whether NPIs could continue to be implemented long term to reduce the ongoing burden from endemic pathogens. Here, we use epidemiological models to explore the impact of long-term NPIs on the dynamics of endemic infections. We find that the introduction of NPIs leads to a strong initial reduction in incidence, but this effect is transient: As susceptibility increases, epidemics return while NPIs are in place. For low R0 infections, these return epidemics are of reduced equilibrium incidence and epidemic peak size. For high R0 infections, return epidemics are of similar magnitude to pre-NPI outbreaks. Our results underline that managing ongoing susceptible buildup, e.g., with vaccination, remains an important long-term goal.


Subject(s)
COVID-19 , Epidemics , Humans , COVID-19/epidemiology , COVID-19/prevention & control , Epidemics/prevention & control , Disease Outbreaks/prevention & control , Epidemiological Models , Public Health
9.
Science ; 376(6598): 1161-1162, 2022 06 10.
Article in English | MEDLINE | ID: covidwho-1891725

ABSTRACT

Understanding viral evolution depends on a synthesis of evolutionary biology and immuno-epidemiology.


Subject(s)
COVID-19 , Evolution, Molecular , Host-Pathogen Interactions , SARS-CoV-2 , COVID-19/epidemiology , COVID-19/immunology , COVID-19/virology , Host-Pathogen Interactions/immunology , Humans , SARS-CoV-2/genetics , SARS-CoV-2/immunology
10.
J R Soc Interface ; 19(191): 20220173, 2022 06.
Article in English | MEDLINE | ID: covidwho-1891255

ABSTRACT

Inferring the relative strength (i.e. the ratio of reproduction numbers) and relative speed (i.e. the difference between growth rates) of new SARS-CoV-2 variants is critical to predicting and controlling the course of the current pandemic. Analyses of new variants have primarily focused on characterizing changes in the proportion of new variants, implicitly or explicitly assuming that the relative speed remains fixed over the course of an invasion. We use a generation-interval-based framework to challenge this assumption and illustrate how relative strength and speed change over time under two idealized interventions: a constant-strength intervention like idealized vaccination or social distancing, which reduces transmission rates by a constant proportion, and a constant-speed intervention like idealized contact tracing, which isolates infected individuals at a constant rate. In general, constant-strength interventions change the relative speed of a new variant, while constant-speed interventions change its relative strength. Differences in the generation-interval distributions between variants can exaggerate these changes and modify the effectiveness of interventions. Finally, neglecting differences in generation-interval distributions can bias estimates of relative strength.


Subject(s)
COVID-19 , SARS-CoV-2 , COVID-19/epidemiology , COVID-19/prevention & control , Contact Tracing , Humans , Pandemics/prevention & control , SARS-CoV-2/genetics
11.
Nat Rev Immunol ; 22(3): 139-141, 2022 03.
Article in English | MEDLINE | ID: covidwho-1684062
12.
Elife ; 92020 06 08.
Article in English | MEDLINE | ID: covidwho-1497819

ABSTRACT

SARS-CoV-2 presents an unprecedented international challenge, but it will not be the last such threat. Here, we argue that the world needs to be much better prepared to rapidly detect, define and defeat future pandemics. We propose that a Global Immunological Observatory and associated developments in systems immunology, therapeutics and vaccine design should be at the heart of this enterprise.


Subject(s)
Communicable Disease Control/organization & administration , Communicable Diseases, Emerging/prevention & control , Coronavirus Infections/epidemiology , Disaster Planning/organization & administration , Global Health , International Cooperation , Pandemics/prevention & control , Pneumonia, Viral/epidemiology , Population Surveillance , Animals , Anti-Infective Agents , COVID-19 , Climate Change , Cohort Studies , Communicable Disease Control/methods , Communicable Diseases, Emerging/diagnosis , Communicable Diseases, Emerging/epidemiology , Communicable Diseases, Emerging/immunology , Drug Development , Forecasting , Global Health/trends , Humans , Interdisciplinary Communication , Mass Screening/organization & administration , Models, Animal , Population Surveillance/methods , Serologic Tests , Vaccines , Weather , Zoonoses
13.
Science ; 373(6562): eabj7364, 2021 Sep 24.
Article in English | MEDLINE | ID: covidwho-1361961

ABSTRACT

Vaccines provide powerful tools to mitigate the enormous public health and economic costs that the ongoing severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) pandemic continues to exert globally, yet vaccine distribution remains unequal among countries. To examine the potential epidemiological and evolutionary impacts of "vaccine nationalism," we extend previous models to include simple scenarios of stockpiling between two regions. In general, when vaccines are widely available and the immunity they confer is robust, sharing doses minimizes total cases across regions. A number of subtleties arise when the populations and transmission rates in each region differ, depending on evolutionary assumptions and vaccine availability. When the waning of natural immunity contributes most to evolutionary potential, sustained transmission in low-access regions results in an increased potential for antigenic evolution, which may result in the emergence of novel variants that affect epidemiological characteristics globally. Overall, our results stress the importance of rapid, equitable vaccine distribution for global control of the pandemic.


Subject(s)
COVID-19 Vaccines/supply & distribution , COVID-19/prevention & control , Global Health , COVID-19/epidemiology , COVID-19/immunology , COVID-19/transmission , COVID-19 Vaccines/administration & dosage , COVID-19 Vaccines/immunology , Emigration and Immigration , Evolution, Molecular , Humans , Immune Evasion , Models, Theoretical , SARS-CoV-2/genetics , SARS-CoV-2/immunology , Strategic Stockpile , Vaccination Coverage
14.
Nat Med ; 27(3): 447-453, 2021 03.
Article in English | MEDLINE | ID: covidwho-1319034

ABSTRACT

A surprising feature of the SARS-CoV-2 pandemic to date is the low burdens reported in sub-Saharan Africa (SSA) countries relative to other global regions. Potential explanations (for example, warmer environments1, younger populations2-4) have yet to be framed within a comprehensive analysis. We synthesized factors hypothesized to drive the pace and burden of this pandemic in SSA during the period from 25 February to 20 December 2020, encompassing demographic, comorbidity, climatic, healthcare capacity, intervention efforts and human mobility dimensions. Large diversity in the probable drivers indicates a need for caution in interpreting analyses that aggregate data across low- and middle-income settings. Our simulation shows that climatic variation between SSA population centers has little effect on early outbreak trajectories; however, heterogeneity in connectivity, although rarely considered, is likely an important contributor to variance in the pace of viral spread across SSA. Our synthesis points to the potential benefits of context-specific adaptation of surveillance systems during the ongoing pandemic. In particular, characterizing patterns of severity over age will be a priority in settings with high comorbidity burdens and poor access to care. Understanding the spatial extent of outbreaks warrants emphasis in settings where low connectivity could drive prolonged, asynchronous outbreaks resulting in extended stress to health systems.


Subject(s)
COVID-19/epidemiology , COVID-19/virology , SARS-CoV-2/genetics , Adult , Africa South of the Sahara/epidemiology , Aged , Aged, 80 and over , COVID-19/diagnosis , COVID-19/pathology , COVID-19 Serological Testing/statistics & numerical data , Comorbidity , Disease Outbreaks , Effect Modifier, Epidemiologic , Female , History, 21st Century , Humans , Infection Control , Male , Middle Aged , Mortality , Pandemics , Prognosis , Risk Factors , SARS-CoV-2/isolation & purification , Severity of Illness Index
15.
Trends Immunol ; 42(9): 751-763, 2021 09.
Article in English | MEDLINE | ID: covidwho-1306396

ABSTRACT

Despite vast diversity in non-human hosts and conspicuous recent spillover events, only a small number of coronaviruses have been observed to persist in human populations. This puzzling mismatch suggests substantial barriers to establishment. We detail hypotheses that might contribute to explain the low numbers of endemic coronaviruses, despite their considerable evolutionary and emergence potential. We assess possible explanations ranging from issues of ascertainment, historically lower opportunities for spillover, aspects of human demographic changes, and features of pathogen biology and pre-existing adaptive immunity to related viruses. We describe how successful emergent viral species must triangulate transmission, virulence, and host immunity to maintain circulation. Characterizing the factors that might shape the limits of viral persistence can delineate promising research directions to better understand the combinations of pathogens and contexts that are most likely to lead to spillover.


Subject(s)
Coronavirus , Biological Evolution , Virulence
17.
Sci Transl Med ; 13(584)2021 03 10.
Article in English | MEDLINE | ID: covidwho-1127537

ABSTRACT

Acute flaccid myelitis (AFM) recently emerged in the United States as a rare but serious neurological condition since 2012. Enterovirus D68 (EV-D68) is thought to be a main causative agent, but limited surveillance of EV-D68 in the United States has hampered the ability to assess their causal relationship. Using surveillance data from the BioFire Syndromic Trends epidemiology network in the United States from January 2014 to September 2019, we characterized the epidemiological dynamics of EV-D68 and found latitudinal gradient in the mean timing of EV-D68 cases, which are likely climate driven. We also demonstrated a strong spatiotemporal association of EV-D68 with AFM. Mathematical modeling suggested that the recent dominant biennial cycles of EV-D68 dynamics may not be stable. Nonetheless, we predicted that a major EV-D68 outbreak, and hence an AFM outbreak, would have still been possible in 2020 under normal epidemiological conditions. Nonpharmaceutical intervention efforts due to the ongoing COVID-19 pandemic are likely to have reduced the sizes of EV-D68 and AFM outbreaks in 2020, illustrating the broader epidemiological impact of the pandemic.


Subject(s)
Central Nervous System Viral Diseases/epidemiology , Central Nervous System Viral Diseases/virology , Enterovirus D, Human/physiology , Myelitis/epidemiology , Myelitis/virology , Neuromuscular Diseases/epidemiology , Neuromuscular Diseases/virology , Disease Susceptibility , Epidemiological Monitoring , Humans , Models, Biological , Spatio-Temporal Analysis , United States/epidemiology
18.
Science ; 372(6540): 363-370, 2021 04 23.
Article in English | MEDLINE | ID: covidwho-1125155

ABSTRACT

Given vaccine dose shortages and logistical challenges, various deployment strategies are being proposed to increase population immunity levels to severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Two critical issues arise: How timing of delivery of the second dose will affect infection dynamics and how it will affect prospects for the evolution of viral immune escape via a buildup of partially immune individuals. Both hinge on the robustness of the immune response elicited by a single dose as compared with natural and two-dose immunity. Building on an existing immuno-epidemiological model, we find that in the short term, focusing on one dose generally decreases infections, but that longer-term outcomes depend on this relative immune robustness. We then explore three scenarios of selection and find that a one-dose policy may increase the potential for antigenic evolution under certain conditions of partial population immunity. We highlight the critical need to test viral loads and quantify immune responses after one vaccine dose and to ramp up vaccination efforts globally.


Subject(s)
COVID-19 Vaccines/administration & dosage , COVID-19 Vaccines/immunology , COVID-19/prevention & control , Evolution, Molecular , SARS-CoV-2/genetics , SARS-CoV-2/immunology , Adaptation, Physiological , Adaptive Immunity , COVID-19/epidemiology , COVID-19/immunology , COVID-19/virology , Disease Susceptibility , Humans , Immune Evasion , Immunization Schedule , Immunogenicity, Vaccine , Models, Theoretical , Mutation , Selection, Genetic , Vaccination
19.
Nat Commun ; 12(1): 846, 2021 02 08.
Article in English | MEDLINE | ID: covidwho-1069103

ABSTRACT

High susceptibility has limited the role of climate in the SARS-CoV-2 pandemic to date. However, understanding a possible future effect of climate, as susceptibility declines and the northern-hemisphere winter approaches, is an important open question. Here we use an epidemiological model, constrained by observations, to assess the sensitivity of future SARS-CoV-2 disease trajectories to local climate conditions. We find this sensitivity depends on both the susceptibility of the population and the efficacy of non-pharmaceutical interventions (NPIs) in reducing transmission. Assuming high susceptibility, more stringent NPIs may be required to minimize outbreak risk in the winter months. Our results suggest that the strength of NPIs remain the greatest determinant of future pre-vaccination outbreak size. While we find a small role for meteorological forecasts in projecting outbreak severity, reducing uncertainty in epidemiological parameters will likely have a more substantial impact on generating accurate predictions.


Subject(s)
COVID-19/transmission , Climate , SARS-CoV-2/isolation & purification , Seasons , Algorithms , COVID-19/epidemiology , COVID-19/virology , Disease Outbreaks , Humans , Models, Theoretical , Pandemics , SARS-CoV-2/physiology
20.
J R Soc Interface ; 18(175): 20200683, 2021 02.
Article in English | MEDLINE | ID: covidwho-1061142

ABSTRACT

SARS-CoV-2 is an international public health emergency; high transmissibility and morbidity and mortality can result in the virus overwhelming health systems. Combinations of social distancing, and test, trace, and isolate strategies can reduce the number of new infections per infected individual below 1, thus driving declines in case numbers, but may be both challenging and costly. These interventions must also be maintained until development and (now likely) mass deployment of a vaccine (or therapeutics), since otherwise, many susceptible individuals are still at risk of infection. We use a simple analytical model to explore how low levels of infection, combined with vaccination, determine the trajectory to community immunity. Understanding the repercussions of the biological characteristics of the viral life cycle in this scenario is of considerable importance. We provide a simple description of this process by modelling the scenario where the effective reproduction number [Formula: see text] is maintained at 1. Since the additional complexity imposed by the strength and duration of transmission-blocking immunity is not yet clear, we use our framework to probe the impact of these uncertainties. Through intuitive analytical relations, we explore how the necessary magnitude of vaccination rates and mitigation efforts depends crucially on the durations of natural and vaccinal immunity. We also show that our framework can encompass seasonality or preexisting immunity due to epidemic dynamics prior to strong mitigation measures. Taken together, our simple conceptual model illustrates the importance of individual and vaccinal immunity for community immunity, and that the quantification of individuals immunized against SARS-CoV-2 is paramount.


Subject(s)
COVID-19/immunology , COVID-19/prevention & control , Immunity, Herd , Vaccination , Basic Reproduction Number , COVID-19 Vaccines , Epidemics , Humans , Immune System , Physical Distancing , Public Health , Seasons
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