Wealth distribution under the spread of infectious diseases

Dimarco, Giacomo; Pareschi, Lorenzo; Toscani, Giuseppe; Zanella, Mattia

doi:10.1103/physreve.102.022303

Cited by 73 publications

(104 citation statements)

References 39 publications

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“…DiMarco et al (20) have recently proposed a model close in spirit to ours but more complex. Based on kinetic theory, it describes the heterogeneity of individuals in terms of a variable x ≥ 0 corresponding to the number of daily social contacts.…”

Section: An Epidemiology Model With Heterogeneity and Natural Variability Of Population Behaviormentioning

confidence: 67%

“…Let us also mention another work by Dimarco et al (20) inspired from kinetic theory. Its spirit is akin to ours, but with a different scope.…”

Section: Supplementary Informationmentioning

confidence: 99%

“…Consequently, it ends up as quite different from the present work. As a closure of their model, DiMarco et al (20) formally derive a so called S-SIR model. There, the variability of behaviors involves an explicit dependence of the transmission rates upon the current number of infectious individuals (21).…”

Section: An Epidemiology Model With Heterogeneity and Natural Variability Of Population Behaviormentioning

confidence: 99%

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Plateaus, Rebounds and the Effects of Individual Behaviours in Epidemics

Berestycki

Desjardins

Heintz³

et al. 2021

Preprint

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We report here on a campaign of weekly measurements of concentration of SARS-Cov-2 in wastewater in several treatment plants around the Thau lagoon in the Southwest of France over a nine month period of time. The use of Digital PCR yielded very precise measurements. The observations thus generated exhibit a rough stabilization on plateaus of the epidemic and other remarkable features. Such plateaus are widely reported in the setting of the Covid-19 pandemics. In this paper we raise the question of why such plateaus and other features of epidemics dynamics arise. Indeed, the classical SIR model and its extensions hardly provide an explanation for such behavior. To address this question we introduce here a new model, which takes into account heterogeneity and natural variability of behaviors in populations. Owing to this model, we show that features such as plateaus, rebounds, and shoulders are part of the intrinsic dynamics of an epidemic. In particular, in the context of the Thau lagoon, we argue that they are not generated by public health policy measures or psychological reactions of the population. We then show that this model fits very well the measures obtained around the Thau lagoon.

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Section: An Epidemiology Model With Heterogeneity and Natural Variability Of Population Behaviormentioning

confidence: 67%

“…Let us also mention another work by Dimarco et al (20) inspired from kinetic theory. Its spirit is akin to ours, but with a different scope.…”

Section: Supplementary Informationmentioning

confidence: 99%

Section: An Epidemiology Model With Heterogeneity and Natural Variability Of Population Behaviormentioning

confidence: 99%

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Plateaus, Rebounds and the Effects of Individual Behaviours in Epidemics

Berestycki

Desjardins

Heintz³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Indeed, as part of their COVID-19 strategy for developing countries, the International Labour Organization (ILO) has acknowledged that ‘physical distancing measures’ are an ‘impossible choice for informal economy workers’ (ILO April 2020). These problems are compounded by the fact that there will almost certainly be very large increases in the numbers of ‘working poor’ as a direct result of the pandemic – creating a mutually-reinforcing feedback cycle between the pandemic and deleterious conditions of employment ( Dimarco et al 2020 ). All of these features of LMIC labour markets have an impact on

and

and, as we demonstrate below, can be incorporated into epidemiological modelling of the virus.…”

Section: Social Determinantsmentioning

confidence: 99%

Incorporating Social Determinants of Health into Modelling of COVID-19 and other Infectious Diseases: A Baseline Socio-economic Compartmental Model

Galanis

Hanieh

2021

Social Science & Medicine

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The role of socio-economic conditions has been largely implicit in mathematical epidemiological models. However, measures to address the current pandemic, specifically the relevant interventions proposing physical distancing, have highlighted how social determinants affect contagion and mortality dynamics of COVID-19. For the most part, these social determinants are not present in either policy discussions or in relevant epidemiological models. We argue for the importance of incorporating relevant social determinants of health into the modelling dynamics of COVID-19, and show how global variation of these conditions may be integrated into relevant models. In doing so, we also highlight a key political economy aspect of reproduction dynamics in epidemics.

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“…Indeed, it has been seen that in the presence of labor unions, government policies to reduce inequality, or other solidarity factors of social protection, the corresponding wealth distribution changes to a bimodal distribution [14]. Although these distributions are rare and seem unrealistic, they have also been found when considering risky transactions and other stressful situations [15], such as an epidemic outbreak [16]. In order to simulate these theoretical models, it has been necessary to use different numerical and computational tools such as Monte Carlo methods for open systems [17] or classification methods for market behavior [18].…”

Section: Introductionmentioning

confidence: 99%

Effect of Savings on a Gas-Like Model Economy with Credit and Debt

Chacón‐Acosta

Ángeles-Sánchez

2021

Entropy

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In kinetic exchange models, agents make transactions based on well-established microscopic rules that give rise to macroscopic variables in analogy to statistical physics. These models have been applied to study processes such as income and wealth distribution, economic inequality sources, economic growth, etc., recovering well-known concepts in the economic literature. In this work, we apply ensemble formalism to a geometric agents model to study the effect of saving propensity in a system with money, credit, and debt. We calculate the partition function to obtain the total money of the system, with which we give an interpretation of the economic temperature in terms of the different payment methods available to the agents. We observe an interplay between the fraction of money that agents can save and their maximum debt. The system’s entropy increases as a function of the saved proportion, and increases even more when there is debt.

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Wealth distribution under the spread of infectious diseases

Cited by 73 publications

References 39 publications

Plateaus, Rebounds and the Effects of Individual Behaviours in Epidemics

Plateaus, Rebounds and the Effects of Individual Behaviours in Epidemics

Incorporating Social Determinants of Health into Modelling of COVID-19 and other Infectious Diseases: A Baseline Socio-economic Compartmental Model

Effect of Savings on a Gas-Like Model Economy with Credit and Debt

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