A mean-field vaccination game scheme to analyze the effect of a single vaccination strategy on a two-strain epidemic spreading

[1]  Jun Tanimoto,et al.  Realistic decision-making processes in a vaccination game , 2018 .

[2]  Jun Tanimoto,et al.  Analysis of SIR epidemic model with information spreading of awareness , 2019, Chaos, Solitons & Fractals.

[3]  Jun Tanimoto,et al.  Effects of stubborn decision-makers on vaccination and disease propagation in social networks , 2016 .

[4]  C. Bauch,et al.  The influence of social behaviour on competition between virulent pathogen strains , 2018, bioRxiv.

[5]  Sylvain Gandon,et al.  Imperfect vaccines and the evolution of pathogen virulence , 2001, Nature.

[6]  Timothy C. Reluga,et al.  A general approach for population games with application to vaccination. , 2011, Mathematical biosciences.

[7]  Abid Ali Lashari,et al.  A two-strain epidemic model with mutant strain and vaccination , 2012 .

[8]  Matjaz Perc,et al.  Grand Challenges in Social Physics: In Pursuit of Moral Behavior , 2018, Front. Phys..

[9]  Maia Martcheva,et al.  An Introduction to Mathematical Epidemiology , 2015 .

[10]  Yamir Moreno,et al.  Vaccination and epidemics in networked populations—An introduction , 2017 .

[11]  Xingfu Zou,et al.  Flu epidemics: a two-strain flu model with a single vaccination , 2011 .

[12]  Daniel I. S. Rosenbloom,et al.  Imitation dynamics of vaccination behaviour on social networks , 2011, Proceedings of the Royal Society B: Biological Sciences.

[13]  G. Szabó,et al.  Evolutionary prisoner's dilemma game on a square lattice , 1997, cond-mat/9710096.

[14]  Dirk Helbing,et al.  Saving Human Lives: What Complexity Science and Information Systems can Contribute , 2014, Journal of statistical physics.

[15]  Marco Alberto Javarone,et al.  Heterogeneous update mechanisms in evolutionary games: Mixing innovative and imitative dynamics. , 2017, Physical review. E.

[16]  Jun Tanimoto,et al.  Which is more effective for suppressing an infectious disease: imperfect vaccination or defense against contagion? , 2018 .

[17]  Jun Tanimoto,et al.  Analysis of epidemic outbreaks in two-layer networks with different structures for information spreading and disease diffusion , 2019, Commun. Nonlinear Sci. Numer. Simul..

[18]  G. Pazour,et al.  Ror2 signaling regulates Golgi structure and transport through IFT20 for tumor invasiveness , 2017, Scientific Reports.

[19]  A. Read,et al.  Imperfect Vaccination Can Enhance the Transmission of Highly Virulent Pathogens , 2015, PLoS biology.

[20]  Bruno Gaujal,et al.  A MEAN FIELD GAME ANALYSIS OF SIR DYNAMICS WITH VACCINATION , 2020, Probability in the Engineering and Informational Sciences.

[21]  S. Nee,et al.  Imperfect vaccination: some epidemiological and evolutionary consequences , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[22]  Song-Liang Wang,et al.  Evolution of Influenza A Virus by Mutation and Re-Assortment , 2017, International journal of molecular sciences.

[23]  A. McLean.  Vaccination, evolution and changes in the efficacy of vaccines: a theoretical framework , 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[24]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[25]  Dawei Zhao,et al.  Statistical physics of vaccination , 2016, ArXiv.

[26]  R. Ahmed,et al.  Simply put: Vaccination saves lives , 2017, Proceedings of the National Academy of Sciences.

[27]  L. Blume.  The Statistical Mechanics of Strategic Interaction , 1993 .

[28]  Jun Tanimoto,et al.  Effect of noise-perturbing intermediate defense measures in voluntary vaccination games , 2018 .

[29]  W. Orenstein,et al.  Epidemiologic methods in immunization programs. , 1996, Epidemiologic reviews.

[30]  Long Wang,et al.  Imperfect Vaccine Aggravates the Long-Standing Dilemma of Voluntary Vaccination , 2011, PloS one.

[31]  Jun Tanimoto,et al.  Impact of imperfect vaccination and defense against contagion on vaccination behavior in complex networks , 2018, Journal of Statistical Mechanics: Theory and Experiment.

[32]  H Peltola,et al.  Vaccination greatly reduces disease, disability, death and inequity worldwide. , 2008, Bulletin of the World Health Organization.

[33]  Xuezhi Li,et al.  A TWO-STRAIN EPIDEMIC MODEL WITH DIFFERENTIAL SUSCEPTIBILITY AND MUTATION , 2013 .

[34]  Jesús Gómez-Gardeñes,et al.  The Evolutionary Vaccination Dilemma in Complex Networks , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  Jun Tanimoto,et al.  Three-strategy and four-strategy model of vaccination game introducing an intermediate protecting measure , 2019, Appl. Math. Comput..

[36]  Jun Tanimoto,et al.  Effect of intermediate defense measures in voluntary vaccination games , 2016 .

[37]  Jun Tanimoto,et al.  Influence of breaking the symmetry between disease transmission and information propagation networks on stepwise decisions concerning vaccination , 2015 .

[38]  S. Levin,et al.  Epidemiological models with age structure, proportionate mixing, and cross-immunity , 1989, Journal of mathematical biology.

[39]  Xingru Chen,et al.  Imperfect vaccine and hysteresis , 2019, Proceedings of the Royal Society B.

[40]  Fan Bai,et al.  Uniqueness of Nash equilibrium in vaccination games , 2016, Journal of biological dynamics.

[41]  Jun Tanimoto,et al.  Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs , 2019, Chaos, Solitons & Fractals.

[42]  Aya Hagishima,et al.  Risk assessment for infectious disease and its impact on voluntary vaccination behavior in social networks , 2014 .

[43]  Jun Tanimoto,et al.  Fundamentals of Evolutionary Game Theory and its Applications , 2015 .

[44]  Sally M. Blower,et al.  Imperfect vaccines and herd immunity to HIV , 1993, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[45]  Attila Szolnoki,et al.  Statistical Physics of Human Cooperation , 2017, ArXiv.

[46]  D. Earn,et al.  Vaccination and the theory of games. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[47]  Jun Tanimoto,et al.  Effect of information spreading to suppress the disease contagion on the epidemic vaccination game , 2019, Chaos, Solitons & Fractals.

[48]  Yizhi Ren,et al.  Voluntary Vaccination through Self-organizing Behaviors on Locally-mixed Social Networks , 2017, Scientific Reports.