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Vaccination-transmission coupled mechanism based on parallel minority game |
| Chenli Xue(薛琛丽)1, Xiaofeng Luo(罗晓峰)1,†, and Gui-Quan Sun(孙桂全)1,2,‡ |
1 School of Mathematics, North University of China, Taiyuan 030051, China; 2 Complex Systems Research Center, Shanxi University, Taiyuan 030006, China |
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Abstract Vaccination is a key strategy to curb the spread of epidemics. Heterologous vaccination, unlike homologous vaccination which acts on a single target and forms a single immune barrier, covers multiple targets for broader protection. Yet, heterologous vaccination involves a complex decision process that conventional game-theoretic approaches, such as classical, evolutionary, and minority games cannot adequately capture. The parallel minority game (PMG) can handle bounded-rational, multi-choice decisions, but its application in vaccine research remains rare. In this study, we propose a vaccination-transmission coupled dynamic mechanism based on the parallel minority game and simulate it on a twodimensional lattice. Using actual observational data and a mean-field mathematical model, we verify the effectiveness of this mechanism in simulating realistic vaccination behavior and transmission dynamics. We further analyze the impact of key parameters, such as vaccine efficacy differences and the proportion of individuals eligible for vaccine switching, on containment effectiveness. Our results demonstrate that heterologous vaccination surpasses homologous vaccination in containment effectiveness, particularly when vaccine efficacy varies significantly. This work provides a novel framework and empirical evidence for understanding individual decision-making and population-wide immunity formation in multi-vaccine settings.
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Received: 16 October 2025
Revised: 19 December 2025
Accepted manuscript online: 23 December 2025
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PACS:
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87.19.X-
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(Diseases)
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87.23.Ge
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(Dynamics of social systems)
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89.75.-k
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(Complex systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12571549, 12571592, 12471463, 12022113, and 12101573). |
Cite this article:
Chenli Xue(薛琛丽), Xiaofeng Luo(罗晓峰), and Gui-Quan Sun(孙桂全) Vaccination-transmission coupled mechanism based on parallel minority game 2026 Chin. Phys. B 35 028705
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[1] Beyer W E, de Bruijn I A, Palache A M, Westendorp R G and Osterhaus A D 1999 Arch. Intern. Med. 159 182 [2] World Health Organization 1980 Wkly. Epidemiol. Rec. 55 145 [3] Henderson D A 2009 Smallpox: The Death of a Disease: The Inside Story of Eradicating a Worldwide Killer (Amherst, NY: Prometheus Books) [4] Damijan J P, Damijan S and Kostevc Č 2022 Vaccines 10 678 [5] Voysey M, Clemens S A C, Madhi S A, et al. 2021 Lancet 397 99 [6] Zeng G, Wu Q, Pan H, et al. 2022 Lancet Infect. Dis. 22 483 [7] Liu X, Shaw R H, Stuart A S V, et al. 2021 Lancet 398 856 [8] Munro A P S, Janani L, Cornelius V, et al. 2021 Lancet 398 2258 [9] Barros-Martins J, Hammerschmidt S I, Cossmann A, et al. 2021 Nat. Med. 27 1525 [10] Sun G Q, He R Z, Hou L F, Luo X F, Gao S P, Chang L L, Wang Y and Zhang Z K 2025 Phys. Rep. 1111 1-64 [11] Luo X F, He R Z, Hou L F, Gao S P, Jin Z, Sun G Q, Chang L L, Minati L and Boccaletti S 2025 Phys. Rev. Res. 7 013262 [12] Huo L A and Wu B J 2024Chin. Phys. B 33 038702 [13] Anderson R M and May R M 1991 Infectious Diseases of Humans: Dynamics and Control (Oxford: Oxford University Press) [14] Hethcote H W 2000 SIAM Rev. 42 599 [15] Diekmann O, Heesterbeek J A P and Britton T 2012 Mathematical Tools for Understanding Infectious Disease Dynamics (Princeton: Princeton University Press) [16] Ferguson N M, Laydon D, Nedjati-Gilani G, et al. 2020 Impact of Non-Pharmaceutical Interventions to Reduce COVID-19 Mortality and Healthcare Demand (London: Imperial College COVID-19 Response Team) [17] Zheng Y Y, Wang Z P, Sun Y N, Xie S J and Wang L 2025Chin. Phys. B 34 100201 [18] Moghadas S M, Vilches T N, Zhang K, Wells C R, Shoukat A, Singer B H, Meyers L A, Neuzil K M, Langley J M, Fitzpatrick M C and Galvani A P 2021 Clin. Infect. Dis. 73 2257 [19] Bauch C T and Earn D J D 2004 Proc. Natl. Acad. Sci. USA 101 13391 [20] Reluga T C 2010 PLoS Comput. Biol. 6 e1000793 [21] Fenichel E P, Castillo-Chavez C, Ceddia M G, Chowell G, Parra P A G, Hickling G J, Holloway G, Horan R, Morin B, Perrings C, Springborn M, Velazquez L and Villalobos C 2011 Proc. Natl. Acad. Sci. USA 108 6306 [22] Huo L A and Yin L Y 2025Chin. Phys. B 34 068902 [23] Luo X F, Sun G Q, He R Z, Jin Z, Asamoah J K K, Xue Y and Chang L L 2024 Chaos 34 073114 [24] Galvani A P, Reluga T C and Chapman G B 2007 Proc. Natl. Acad. Sci. USA 104 5692 [25] Perisic A and Bauch C T 2009 PLoS Comput. Biol. 5 e1000280 [26] Simon H A 1955 Q. J. Econ. 69 99 [27] Osborne M J and Rubinstein A 1994 A Course in Game Theory (Cambridge: MIT Press) [28] Fu F, Rosenbloom D I, Wang L and Nowak M A 2011 Proc. R. Soc. B 278 42 [29] Bauch C T and Bhattacharyya S 2012 PLoS Comput. Biol. 8 e1002452 [30] Hofbauer J and Sigmund K 1998 Evolutionary Games and Population Dynamics (Cambridge: Cambridge University Press) [31] Nowak M A and Sigmund K 2004 Science 303 793 [32] Sandholm W H 2010 Population Games and Evolutionary Dynamics (Cambridge: MIT Press) [33] Challet D and Zhang Y C 1997 Physica A 246 407 [34] Challet D, Marsili M and Zhang Y C 2000 Physica A 276 284 [35] De Martino A, Marsili M and Zhang Y C 2004 Physica A 332 433 [36] Biswas S and Mandal A K 2021 Physica A 561 125271 [37] Ranadheera S, Maghsudi S and Hossain E 2017 IEEE Wirel. Commun. 24 184 [38] He R Z, Luo X F, Asamoah J K K, Zhang Y X, Li Y H, Jin Z and Sun G Q 2023 J. Math. Biol. 87 29 [39] Yao D, Patel R S, Lam A, Glover Q, Srinivasan C, Herchen A, Ritchie B and Agrawal B 2024 J. Virol. 98 e01983-23 [40] Zhang X, Xia J, Jin L, Wu Y, Zheng X, Cao X, Meng X, Li J and Zhu F 2023 Hum. Vaccines Immunother. 19 2236459 [41] Au WY, Cheung PP 2022 Br. Med. J. 377 e069989 [42] Jara A, Undurraga E A, Gonzalez C, Paredes F, Fontecilla T, Jara G, Pizarro A, Acevedo J, Leo K, Leon F, Sans C, Leighton P, Suarez P, García-Escorza H and Araos R 2021 N. Engl. J. Med. 385 875 [43] Dhar D, Sasidevan V and Chakrabarti B K 2011 Physica A 390 3477 [44] Stauffer D and Aharony A 2018 Introduction to Percolation Theory 2nd edn (Boca Raton: Taylor & Francis) [45] Khaleque A and Sen P 2017 Sci. Rep. 7 42594 [46] Pastor-Satorras R, Castellano C, Van Mieghem P and Vespignani A 2015 Rev. Mod. Phys. 87 925 [47] Haug N, Geyrhofer L, Londei A, Dervic E, Desvars-Larrive A, Loreto V, Pinior B, Thurner S and Klimek P 2020 Nat. Hum. Behav. 4 1303 [48] Chang S, Pierson E, Koh P W, Gerardin J, Redbird B, Grusky D and Leskovec J 2021 Nature 589 82 [49] Batty M and Longley P A 1994 Fractal Cities: A Geometry of Form and Function (London: Academic Press) [50] Rhodes C J and Anderson R M 1996 J. Theor. Biol. 180 125 [51] Dai L, Gao L, Tao L, et al. 2022 N. Engl. J. Med. 386 2279 [52] Halperin S A, Ye L, MacKinnon-Cameron D, Smith B, Cahn P E, RuizPalacios G M, Ikram A, Lanas F, Lourdes Guerrero M, Munoz Navarro S R, Sued O, Lioznov D A, Dzutseva V, Parveen G, Zhu F, Leppan L, Langley J M, Barreto L, Gou J, Zhu T and CanSino COVID-19 Global Efficacy Study Group 2022 Lancet 399 237 [53] Kucharski A J, Russell T W, Diamond C, et al. 2020 Lancet Infect. Dis. 20 553 [54] Lai S, Ruktanonchai N W, Zhou L, Prosper O, Luo W, Floyd J R, Wesolowski A, Santillana M, Zhang C, Du X, Yu H and Tatem A J 2020 Nature 585 410 [55] Weldu A, Asres A, Ayenew M, Michael T G, Giorgis T T, Mariam T G, Hiwot T G, Araya H, Silassie F G, Eyasu A G, Kirstos H G, David A G, Kiros T G, Tekle H G, Medhin T G, Haile T G, Abadi T G, Yohannes T G, Tadesse T G and Hagos T G 2025 J. Public Health (Berl.) 33 513-519 [56] Zhang Z, Mateus J, Coelho C H, Dan J M, Moderbacher C R, Galvez R I, Cortes F H, Grifoni A, Tarke A, Chang J, Escarrega E A, Kim C, Goodwin B, Bloom N I, Frazier A, Weiskopf D, Sette A and Crotty S 2022 Cell 185 2434-2451 [57] https://ourworldindata.org/coronavirus [58] https://www.peopleapp.com/column/30035597215-500004915582 [59] Keeling M J and Rohani P 2008 Modeling Infectious Diseases in Humans and Animals (Princeton: Princeton University Press) [60] Van den Driessche P and Watmough J 2002 Math. Biosci. 180 29-48 [61] Yuan P, Tan Y, Yang Z, Aruffo E, Ogden N H, Belair J, Arino J, Heffer-nan J M, Watmough J, Carabin H and Zhu H 2022 Front. Public Health 10 1026489 [62] Xiong Z X, Xue L, Li X Z and Zhang Y F 2024 BMC Infectious Diseases 24 1078 |
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