2013
DOI: 10.1007/s10441-013-9176-6
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Random Modelling of Contagious Diseases

Abstract: Modelling contagious diseases needs to include a mechanistic knowledge about contacts between hosts and pathogens as specific as possible, e.g., by incorporating in the model information about social networks through which the disease spreads. The unknown part concerning the contact mechanism can be modelled using a stochastic approach. For that purpose, we revisit SIR models by introducing first a microscopic stochastic version of the contacts between individuals of different populations (namely Susceptible, … Show more

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Cited by 16 publications
(11 citation statements)
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“…These seasonal changes could occur in exactly the same way as for other pathogens, like the common cold or influenza [9][10][11][12]. This phenomenon can be modelled and the deterministic as well as stochastic models [2,[13][14][15][16][17][18][19][20][21][22][23][24][25] include potentially temperature-dependent parameters, like the contagion coefficient increasing with cold, dry weather because of faster evaporation of aerosol droplets. The present paper aims to identify such parameters from the covid-19 spread dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…These seasonal changes could occur in exactly the same way as for other pathogens, like the common cold or influenza [9][10][11][12]. This phenomenon can be modelled and the deterministic as well as stochastic models [2,[13][14][15][16][17][18][19][20][21][22][23][24][25] include potentially temperature-dependent parameters, like the contagion coefficient increasing with cold, dry weather because of faster evaporation of aerosol droplets. The present paper aims to identify such parameters from the covid-19 spread dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…Influence of the contact duration Let us now introduce contact duration t and a contagion coefficient b possibly depending on t. 30 It is possible to retrieve the quadratic term of interaction already present in all the classical models of contagion [30][31][32][33][34][35][36][37][38][39][40] by using a stochastic approach coming from the random chemistry of contacts [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57] for interpreting the proposed rules, more developed in. 58 We have the demographic dynamics voiding the overweight transition:…”
Section: The Dynamics Of Contactsmentioning
confidence: 99%
“…Professionals from different areas can be connected with different access permissions depending on their profession. The RVS project began in June 2010: 44 homes have been outfitted with the RVS system, and 132 healthcare professionals including social professionals (80), paramedics (44) and GP's (8) have been trained to use the system. The RVS project was completed in July 2013.…”
Section: Medico-social Information Processing For the Surveillance Ofmentioning
confidence: 99%
“…Several researchers studied the influence of friends and peers on the body mass index of an individual by using systems science tools that have been proposed to determine the impact of the collective behavior of the social network in the spread of obesity [36][37][38][39][40][41]. Some of these tools are based on the system dynamics approach [42,43], which is pertinent to study the transmission of obesity at the population level, while others use network analysis [33,44], as well as agent-based modeling [45] for investigating at the individual level.…”
Section: A Systematic Reviewmentioning
confidence: 99%
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