Game dynamic model of social distancing while cost of infection varies with epidemic burden

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Published inIMA journal of applied mathematics Vol. 84; no. 1; pp. 23 - 43
Main Authors Bhattacharyya, Samit, Reluga, Timothy
Format Journal Article
LanguageEnglish
Published 25.01.2019
Online AccessGet full text
ISSN0272-4960
1464-3634
DOI10.1093/imamat/hxy047

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Author Reluga, Timothy
Bhattacharyya, Samit
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  organization: Department of Mathematics, School of Natural Sciences, Shiv Nadar University, NH, Gautan Buddha Nagar, UP India
– sequence: 2
  givenname: Timothy
  surname: Reluga
  fullname: Reluga, Timothy
  organization: Mathematics Department, Pennsylvania State University, McAllister Building, University Park, State College, PA USA
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Cites_doi 10.1186/1471-2458-9-117
10.1016/j.jtbi.2011.03.007
10.1098/rsif.2007.1197
10.1016/j.mbs.2008.11.005
10.1016/j.jtbi.2005.10.004
10.1016/j.vaccine.2011.05.028
10.1142/S0218348X13500199
10.1016/j.mbs.2011.01.003
10.1016/j.mbs.2008.07.011
10.1103/PhysRevE.85.036108
10.3201/eid1211.060255
10.1371/journal.pcbi.1002452
10.1016/j.mbs.2006.08.015
10.1090/S0273-0979-06-01148-7
10.1371/journal.pcbi.1000793
10.1016/j.mbs.2005.12.004
10.1016/j.mbs.2005.03.006
10.1016/j.jtbi.2008.10.005
10.1098/rsif.2010.0142
10.1201/9781420011418
10.1016/j.jtbi.2010.09.005
10.1016/j.mbs.2015.08.023
10.1007/s11538-013-9879-5
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References Buonomo ( key 2019012505563649500_ref6) 2008; 216
Lenhart ( key 2019012505563649500_ref16) 2007
Bauch ( key 2019012505563649500_ref2) 2012; 8
Isaacs ( key 2019012505563649500_ref14) 1999
Osborne ( key 2019012505563649500_ref20) 2004
Del Valle ( key 2019012505563649500_ref11) 2005; 195
Chen ( key 2019012505563649500_ref8) 2011; 278
Valdez ( key 2019012505563649500_ref26) 2012; 85
Funk ( key 2019012505563649500_ref12) 2010; 7
Meyers ( key 2019012505563649500_ref17) 2007; 44
Bhattacharyya ( key 2019012505563649500_ref3) 2010; 267
Reluga ( key 2019012505563649500_ref24) 2011; 230
Bhattacharyya ( key 2019012505563649500_ref5) 2015; 269
Caley ( key 2019012505563649500_ref7) 2008; 5
Chen ( key 2019012505563649500_ref9) 2006; 199
Valdez ( key 2019012505563649500_ref25) 2013; 21
Anderson ( key 2019012505563649500_ref1) 1992
Reluga ( key 2019012505563649500_ref23) 2006; 204
Bhattacharyya ( key 2019012505563649500_ref4) 2011; 29
Meyers ( key 2019012505563649500_ref18) 2006; 240
Chen ( key 2019012505563649500_ref10) 2009; 217
Glass ( key 2019012505563649500_ref13) 2006; 12
Kelso ( key 2019012505563649500_ref15) 2009; 9
d’Onofrio ( key 2019012505563649500_ref19) 2009; 256
Reluga ( key 2019012505563649500_ref22) 2013; 75
Reluga ( key 2019012505563649500_ref21) 2010; 6
References_xml – volume: 9
  start-page: 1
  year: 2009
  ident: key 2019012505563649500_ref15
  article-title: Simulation suggests that rapid activation of social distancing can arrest epidemic development due to a novel strain of influenza
  publication-title: BMC Public Health
  doi: 10.1186/1471-2458-9-117
– volume: 278
  start-page: 107
  year: 2011
  ident: key 2019012505563649500_ref8
  article-title: Public avoidance and epidemics: insights from an economic model
  publication-title: J. Theor. Biol.
  doi: 10.1016/j.jtbi.2011.03.007
– volume: 5
  start-page: 631
  year: 2008
  ident: key 2019012505563649500_ref7
  article-title: Quantifying social distancing arising from pandemic influenza
  publication-title: J. R. Soc. Interface
  doi: 10.1098/rsif.2007.1197
– volume-title: An Introduction to Game Theory
  year: 2004
  ident: key 2019012505563649500_ref20
– volume: 217
  start-page: 125
  year: 2009
  ident: key 2019012505563649500_ref10
  article-title: Modeling the effect of information quality on risk behavior change and the transmission of infectious diseases
  publication-title: Math. Biosci.
  doi: 10.1016/j.mbs.2008.11.005
– volume: 240
  start-page: 400
  year: 2006
  ident: key 2019012505563649500_ref18
  article-title: Predicting epidemics on directed contact networks
  publication-title: J. Theor. Biol.
  doi: 10.1016/j.jtbi.2005.10.004
– volume-title: Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization
  year: 1999
  ident: key 2019012505563649500_ref14
– volume: 29
  start-page: 5519
  year: 2011
  ident: key 2019012505563649500_ref4
  article-title: “Wait and see” vaccinating behaviour during a pandemic: a game theoretic analysis
  publication-title: Vaccine
  doi: 10.1016/j.vaccine.2011.05.028
– volume: 21
  year: 2013
  ident: key 2019012505563649500_ref25
  article-title: Social distancing strategies against disease spreading
  publication-title: Fractals
  doi: 10.1142/S0218348X13500199
– volume: 230
  start-page: 67
  year: 2011
  ident: key 2019012505563649500_ref24
  article-title: A general approach for population games with application to vaccination
  publication-title: Math. Biosci.
  doi: 10.1016/j.mbs.2011.01.003
– volume: 216
  start-page: 9
  year: 2008
  ident: key 2019012505563649500_ref6
  article-title: Global stability of an SIR epidemic model with information dependent vaccination
  publication-title: Math. Biosci.
  doi: 10.1016/j.mbs.2008.07.011
– volume: 85
  year: 2012
  ident: key 2019012505563649500_ref26
  article-title: Intermittent social distancing strategy for epidemic control
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.85.036108
– volume: 12
  start-page: 1671
  year: 2006
  ident: key 2019012505563649500_ref13
  article-title: Targeted social distancing design for pandemic influenza
  publication-title: Emerg. Infect. Dis.
  doi: 10.3201/eid1211.060255
– volume: 8
  year: 2012
  ident: key 2019012505563649500_ref2
  article-title: Evolutionary game theory and social learning can determine how vaccine scares unfold
  publication-title: PLoS Comput. Biol.
  doi: 10.1371/journal.pcbi.1002452
– volume: 204
  start-page: 185
  year: 2006
  ident: key 2019012505563649500_ref23
  article-title: Evolving public perceptions and stability in vaccine uptake
  publication-title: Math. Biosci.
  doi: 10.1016/j.mbs.2006.08.015
– volume-title: Infectious Diseases of Humans: Dynamics and Control
  year: 1992
  ident: key 2019012505563649500_ref1
– volume: 44
  start-page: 63
  year: 2007
  ident: key 2019012505563649500_ref17
  article-title: Contact network epidemiology: bond percolation applied to infectious disease prediction and control
  publication-title: Bull. Am. Math. Soc.
  doi: 10.1090/S0273-0979-06-01148-7
– volume: 6
  year: 2010
  ident: key 2019012505563649500_ref21
  article-title: Game theory of social distancing in response to an epidemic
  publication-title: PLoS Comput. Biol.
  doi: 10.1371/journal.pcbi.1000793
– volume: 199
  start-page: 141
  year: 2006
  ident: key 2019012505563649500_ref9
  article-title: On the transmission of HIV with self-protective behavior and preferred mixing
  publication-title: Math. Biosci.
  doi: 10.1016/j.mbs.2005.12.004
– volume: 195
  start-page: 228
  year: 2005
  ident: key 2019012505563649500_ref11
  article-title: Effects of behavioral changes in a smallpox attack model
  publication-title: Math. Biosci.
  doi: 10.1016/j.mbs.2005.03.006
– volume: 256
  start-page: 473
  year: 2009
  ident: key 2019012505563649500_ref19
  article-title: Information-related changes in contact patterns may trigger oscillations in the endemic prevalence of infectious diseases
  publication-title: J. Theor. Biol.
  doi: 10.1016/j.jtbi.2008.10.005
– volume: 7
  start-page: 1247
  year: 2010
  ident: key 2019012505563649500_ref12
  article-title: Modelling the influence of human behaviour on the spread of infectious diseases: a review
  publication-title: J. R. Soc. Interface
  doi: 10.1098/rsif.2010.0142
– volume-title: Optimal Control Applied to Biological Models
  year: 2007
  ident: key 2019012505563649500_ref16
  doi: 10.1201/9781420011418
– volume: 267
  start-page: 276
  year: 2010
  ident: key 2019012505563649500_ref3
  article-title: A game dynamic model for delayer strategies in vaccinating behaviour for pediatric infectious diseases
  publication-title: J. Theor. Biol.
  doi: 10.1016/j.jtbi.2010.09.005
– volume: 269
  start-page: 130
  year: 2015
  ident: key 2019012505563649500_ref5
  article-title: Role of word-of-mouth for programs of voluntary vaccination: a game-theoretic approach
  publication-title: Math. Biosci.
  doi: 10.1016/j.mbs.2015.08.023
– volume: 75
  start-page: 1961
  year: 2013
  ident: key 2019012505563649500_ref22
  article-title: Equilibria of an epidemic game with piecewise linear social distancing cost
  publication-title: Bull. Math. Biol.
  doi: 10.1007/s11538-013-9879-5
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