Parameter values used and estimates in model A and model B.

Parameter values used and estimates in model A and model B.

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Emerging and re-emerging infections such as SARS (2003) and pandemic H1N1 (2009) have caused concern for public health researchers and policy makers due to the increased burden of these diseases on health care systems. This concern has prompted the use of mathematical models to evaluate strategies to control disease spread, making these models inva...

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... By observing the real networks, differences among communities are found, when the individuals are divided into communities according to a certain property. For example, individuals communicate more frequently in communities belonging to young students than in communities belonging to the old in social networks, which indicates that heterogeneity does exist among communities [43]. Therefore, considering the heterogeneity among communities in reality, we construct a community structure model with adjustable heterogeneity among communities. ...
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Real networks usually exhibit community structure characteristics, and communities have heterogeneity. In this paper, we construct a community network model with different average degree by considering the heterogeneity among communities. The community heterogeneity coefficient is proposed to measure the heterogeneity among communities. Based on homogeneous, heterogeneous, and mixed community networks, we study the influence of community heterogeneity on traffic dynamics. It is found that the more significant the community heterogeneity is, the smaller the traffic capacity is. We also studied the relationship between community heterogeneity coefficient and modularity, modularity and traffic capacity. It is found that the change of community heterogeneity coefficient has little effect on modularity, that is, with the increase in community heterogeneity coefficient, modularity increases slowly, and traffic capacity decreases.
... In addition to COVID-19, a variety of emerging infectious diseases in recent years, such as severe acute respiratory syndrome (SARS), influenza A virus subtype H1N1 (A/H1N1), Ebola virus disease (EVD), Middle East respiratory syndrome, and avian influenza, also pose serious threats to human health and life safety (4)(5)(6). Since the SARS outbreak in 2003, the government, research institutions, and public health departments have fully realized the importance of rapid identification and early intervention in infectious diseases (7,8). In the following years, China's public health system has undergone a series of adjustments. ...
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Introduction Modeling on infectious diseases is significant to facilitate public health policymaking. There are two main mathematical methods that can be used for the simulation of the epidemic and prediction of optimal early warning timing: the logistic differential equation (LDE) model and the more complex generalized logistic differential equation (GLDE) model. This study aimed to compare and analyze these two models. Methods We collected data on (coronavirus disease 2019) COVID-19 and four other infectious diseases and classified the data into four categories: different transmission routes, different epidemic intensities, different time scales, and different regions, using R² to compare and analyze the goodness-of-fit of LDE and GLDE models. Results Both models fitted the epidemic curves well, and all results were statistically significant. The R² test value of COVID-19 was 0.924 (p < 0.001) fitted by the GLDE model and 0.916 (p < 0.001) fitted by the LDE model. The R² test value varied between 0.793 and 0.966 fitted by the GLDE model and varied between 0.594 and 0.922 fitted by the LDE model for diseases with different transmission routes. The R² test values varied between 0.853 and 0.939 fitted by the GLDE model and varied from 0.687 to 0.769 fitted by the LDE model for diseases with different prevalence intensities. The R² test value varied between 0.706 and 0.917 fitted by the GLDE model and varied between 0.410 and 0.898 fitted by the LDE model for diseases with different time scales. The GLDE model also performed better with nation-level data with the R² test values between 0.897 and 0.970 vs. 0.731 and 0.953 that fitted by the LDE model. Both models could characterize the patterns of the epidemics well and calculate the acceleration weeks. Conclusion The GLDE model provides more accurate goodness-of-fit to the data than the LDE model. The GLDE model is able to handle asymmetric data by introducing shape parameters that allow it to fit data with various distributions. The LDE model provides an earlier epidemic acceleration week than the GLDE model. We conclude that the GLDE model is more advantageous in asymmetric infectious disease data simulation.
... for influenza, 3.0 for RSV, and 3.7-57.0 for measles) [27,31,[72][73][74][75][76]. Little is known about R0 for P. jirovecii. ...
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... For instance, age population structure has been found to alter R 0 estimates for rubella, influenza and other diseases [15,16]. Broadly, host age effects are due to age-specific differences in contact patterns, host immune competency, susceptibility and transmission capability, and fitness costs [12,[17][18][19][20][21][22][23][24]. Overall, significantly less work has centered on the consequences of age structure in intermediate host populations. ...
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... We note that practical use of the methods presented here at the start of an emerging outbreak to assess the outbreak risk might require the parameters governing pathogen transmission to be estimated directly from case notification data. A range of methods exist for estimating reproduction numbers in real-time during outbreaks [82,83,[102][103][104], including those designed for estimation in the early stochastic phase [105,106]. Practical use of the approaches that we have developed might also require the wide range of interventions that are introduced in outbreak responses to be integrated into the models explicitly. One way in which control can be included is to consider the effective reproduction number when the pathogen arrives in the system instead of the basic reproduction number, since the effective reproduction number accounts for interventions [26,[81][82][83][107][108][109]. ...
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Forecasting whether or not initial reports of disease will be followed by a severe epidemic is an important component of disease management. Standard epidemic risk estimates involve assuming that infections occur according to a branching process and correspond to the probability that the outbreak persists beyond the initial stochastic phase. However, an alternative assessment is to predict whether or not initial cases will lead to a severe epidemic in which available control resources are exceeded. We show how this risk can be estimated by considering three practically relevant potential definitions of a severe epidemic; namely, an outbreak in which: (i) a large number of hosts are infected simultaneously; (ii) a large total number of infections occur; and (iii) the pathogen remains in the population for a long period. We show that the probability of a severe epidemic under these definitions often coincides with the standard branching process estimate for the major epidemic probability. However, these practically relevant risk assessments can also be different from the major epidemic probability, as well as from each other. This holds in different epidemiological systems, highlighting that careful consideration of how to classify a severe epidemic is vital for accurate epidemic risk quantification.
... For example, in real social networks, young students community interact with each other more frequently than elderly people community. Furthermore, studies have suggested that heterogeneity in contact patterns among individuals in heterogeneity communities has an important effect on the epidemic spreading [10]. In addition, many scholars are concerned about finding ways to suppress the spread of the virus, such as looking for more effective immune strategies and raising awareness of the individuals. ...
... Most of the models ignore the heterogeneity among communities, and how it affects the spread of epidemic is a practical and meaningful problem. In [10], by observing the real populations in the populated city Hong Kong, the researchers find out that the heterogeneity of contact patterns of individuals within and between different age groups is an important impacting factor in the transmission of infectious diseases, so they take into account the age structure of a population and the different contact patterns among individuals in different age groups and propose an age-structured model. When the groups of different ages mentioned in Ref. [10] are regarded as different communities, the whole population in the city can be viewed as a community structure network with heterogeneity. ...
... In [10], by observing the real populations in the populated city Hong Kong, the researchers find out that the heterogeneity of contact patterns of individuals within and between different age groups is an important impacting factor in the transmission of infectious diseases, so they take into account the age structure of a population and the different contact patterns among individuals in different age groups and propose an age-structured model. When the groups of different ages mentioned in Ref. [10] are regarded as different communities, the whole population in the city can be viewed as a community structure network with heterogeneity. In this section, we construct a new community structure network model with heterogeneity among communities based on random network, in which the average degree of each community may be different. ...
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The objective of this Personal View is to compare transmissibility, hospitalisation, and mortality rates for severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) with those of other epidemic coronaviruses, such as severe acute respiratory syndrome coronavirus (SARS-CoV) and Middle East respiratory syndrome coronavirus (MERS-CoV), and pandemic influenza viruses. The basic reproductive rate (R0) for SARS-CoV-2 is estimated to be 2·5 (range 1·8–3·6) compared with 2·0–3·0 for SARS-CoV and the 1918 influenza pandemic, 0·9 for MERS-CoV, and 1·5 for the 2009 influenza pandemic. SARS-CoV-2 causes mild or asymptomatic disease in most cases; however, severe to critical illness occurs in a small proportion of infected individuals, with the highest rate seen in people older than 70 years. The measured case fatality rate varies between countries, probably because of differences in testing strategies. Population-based mortality estimates vary widely across Europe, ranging from zero to high. Numbers from the first affected region in Italy, Lombardy, show an all age mortality rate of 154 per 100 000 population. Differences are most likely due to varying demographic structures, among other factors. However, this new virus has a focal dissemination; therefore, some areas have a higher disease burden and are affected more than others for reasons that are still not understood. Nevertheless, early introduction of strict physical distancing and hygiene measures have proven effective in sharply reducing R0 and associated mortality and could in part explain the geographical differences.
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Purpose of review: Mathematical modeling approaches have brought important contributions to the study of pathogen spread in healthcare settings over the last 20 years. Here, we conduct a comprehensive systematic review of mathematical models of disease transmission in healthcare settings and assess the application of contact and patient transfer network data over time and their impact on our understanding of transmission dynamics of infections. Recent findings: Recently, with the increasing availability of data on the structure of interindividual and interinstitution networks, models incorporating this type of information have been proposed, with the aim of providing more realistic predictions of disease transmission in healthcare settings. Models incorporating realistic data on individual or facility networks often remain limited to a few settings and a few pathogens (mostly methicillin-resistant Staphylococcus aureus). Summary: To respond to the objectives of creating improved infection prevention and control measures and better understanding of healthcare-associated infections transmission dynamics, further innovations in data collection and parameter estimation in modeling is required.