Imitation dynamics of vaccine decision-making behaviours based on the game theory
Based on game theory, we propose an age-structured model to investigate the imitation dynamics of vaccine uptake. We first obtain the existence and local stability of equilibria. We show that Hopf bifurcation can occur. We also establish the global stability of the boundary equilibria and persistenc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2016-01-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/17513758.2015.1099749 |
| _version_ | 1811232268196249600 |
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| author | Junyuan Yang Maia Martcheva Yuming Chen |
| author_facet | Junyuan Yang Maia Martcheva Yuming Chen |
| author_sort | Junyuan Yang |
| collection | DOAJ |
| description | Based on game theory, we propose an age-structured model to investigate the imitation dynamics of vaccine uptake. We first obtain the existence and local stability of equilibria. We show that Hopf bifurcation can occur. We also establish the global stability of the boundary equilibria and persistence of the disease. The theoretical results are supported by numerical simulations. |
| first_indexed | 2024-04-12T11:00:31Z |
| format | Article |
| id | doaj.art-b24926ff292e4f5e943fba0524f616f9 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-04-12T11:00:31Z |
| publishDate | 2016-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-b24926ff292e4f5e943fba0524f616f92022-12-22T03:35:59ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662016-01-01101315810.1080/17513758.2015.10997491099749Imitation dynamics of vaccine decision-making behaviours based on the game theoryJunyuan Yang0Maia Martcheva1Yuming Chen2Yuncheng UniversityUniversity of FloridaYuncheng UniversityBased on game theory, we propose an age-structured model to investigate the imitation dynamics of vaccine uptake. We first obtain the existence and local stability of equilibria. We show that Hopf bifurcation can occur. We also establish the global stability of the boundary equilibria and persistence of the disease. The theoretical results are supported by numerical simulations.http://dx.doi.org/10.1080/17513758.2015.1099749SIR modelgame theorydecision-makingstabilityHopf bifurcation |
| spellingShingle | Junyuan Yang Maia Martcheva Yuming Chen Imitation dynamics of vaccine decision-making behaviours based on the game theory Journal of Biological Dynamics SIR model game theory decision-making stability Hopf bifurcation |
| title | Imitation dynamics of vaccine decision-making behaviours based on the game theory |
| title_full | Imitation dynamics of vaccine decision-making behaviours based on the game theory |
| title_fullStr | Imitation dynamics of vaccine decision-making behaviours based on the game theory |
| title_full_unstemmed | Imitation dynamics of vaccine decision-making behaviours based on the game theory |
| title_short | Imitation dynamics of vaccine decision-making behaviours based on the game theory |
| title_sort | imitation dynamics of vaccine decision making behaviours based on the game theory |
| topic | SIR model game theory decision-making stability Hopf bifurcation |
| url | http://dx.doi.org/10.1080/17513758.2015.1099749 |
| work_keys_str_mv | AT junyuanyang imitationdynamicsofvaccinedecisionmakingbehavioursbasedonthegametheory AT maiamartcheva imitationdynamicsofvaccinedecisionmakingbehavioursbasedonthegametheory AT yumingchen imitationdynamicsofvaccinedecisionmakingbehavioursbasedonthegametheory |