2020
DOI: 10.1101/2020.12.06.20244731
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Epidemic Progression and Vaccination in a Heterogeneous Population. Application to the Covid-19 epidemic

Abstract: The paper is devoted to a compartmental epidemiological model of infection progression in a heterogeneous population which consists of two groups with high disease transmission (HT) and low disease transmission (LT) potentials. Final size and duration of epidemic, the total and current maximal number of infected individuals are estimated depending on the structure of the population. It is shown that with the same basic reproduction number R0 in the beginning of epidemic, its further progression depends on the … Show more

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Cited by 3 publications
(5 citation statements)
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“…Such a model was also applied to Luxembourg in [23], to study the interplay between the epidemiological and economic aspects of the COVID-19 pandemic. Multiple authors have used equation-based models to study optimal strategies for lifting restrictions [24] and vaccination [25, 26]. A approach utilising Bayesian techniques, and a game theoretical modelling of adherence to restrictions, has been applied in [27], while the use of game theory and social network models for decision making on vaccination programmes has been further emphasised in [28].…”
Section: State Of the Artmentioning
confidence: 99%
See 1 more Smart Citation
“…Such a model was also applied to Luxembourg in [23], to study the interplay between the epidemiological and economic aspects of the COVID-19 pandemic. Multiple authors have used equation-based models to study optimal strategies for lifting restrictions [24] and vaccination [25, 26]. A approach utilising Bayesian techniques, and a game theoretical modelling of adherence to restrictions, has been applied in [27], while the use of game theory and social network models for decision making on vaccination programmes has been further emphasised in [28].…”
Section: State Of the Artmentioning
confidence: 99%
“…With several vaccines having being developed against COVID-19, a large number of articles have been written investigating their potential impact. Consider, for example [64][65][66][67][68][69][70][71][72][73][74][75]. In [66] and [73], the impact of vaccination on cases, hospitalisations and deaths was studied using agent-based models, these two articles focussing on areas in the United States and Canada, respectively.…”
Section: State Of the Artmentioning
confidence: 99%
“…Specifically, [20] captured two different epidemic patterns in different regions of Italy using probKMA algorithm [22], and [21] revealed different patterns of the epidemic across countries with functional principle component analysis. In addition, [23, 24, 25, 26, 27] adapted SEIR / Susceptible-Exposed-Infected (SEI) / Susceptible-Infected (SI) compartmental models similar to this paper. Among these works, [23, 24, 25] considered heterogeneity in the aspects of age groups, social links, and vaccination status separately.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, [23, 24, 25, 26, 27] adapted SEIR / Susceptible-Exposed-Infected (SEI) / Susceptible-Infected (SI) compartmental models similar to this paper. Among these works, [23, 24, 25] considered heterogeneity in the aspects of age groups, social links, and vaccination status separately. [26, 27], including spatial heterogeneity in one county and among states respectively, bore more similarity with this paper since they also allowed transmission parameters to be spatially heterogeneous and involved transportation between different regions.…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical modelling of within-host dynamics of SARS-CoV-2 (Bouchnita and Jebrane, 2020;Bouchnita et al, 2021b) and its interaction with the immune system (Fadai et al, 2021;Jenner et al, 2021) also provided many insights into potential treatments and therapeutics for COVID-19. When vaccines became available, epidemiological models including vaccination effects were employed to understand the effects of vaccination on slowing the pandemic (Volpert et al, 2021), inform vaccination programs (Anit ¸a et al, 2021;Hogan et al, 2021;Li et al, 2021;Nguyen et al, 2021), and investigate the effects of easing restrictions under a partially vaccination population (Olivares and Staffetti, 2021;Le et al, 2022).…”
Section: Introductionmentioning
confidence: 99%