2015
DOI: 10.1080/17513758.2015.1099749
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Imitation dynamics of vaccine decision-making behaviours based on the game theory

Abstract: 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. ARTICLE HISTORY

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Cited by 12 publications
(6 citation statements)
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“…It has applications in many areas such as economics, philosophy and biology [11,32]. In the context of infectious diseases, evolutionary game theory has been applied mostly to study the impact of human behaviour or response to vaccination [1,51]. In this section we introduce a novel coupled disease-human behaviour model based on social-distancing.…”
Section: A Coupled Disease-human Behaviour Model Of Social-distancing To Control Emerging Diseasesmentioning
confidence: 99%
“…It has applications in many areas such as economics, philosophy and biology [11,32]. In the context of infectious diseases, evolutionary game theory has been applied mostly to study the impact of human behaviour or response to vaccination [1,51]. In this section we introduce a novel coupled disease-human behaviour model based on social-distancing.…”
Section: A Coupled Disease-human Behaviour Model Of Social-distancing To Control Emerging Diseasesmentioning
confidence: 99%
“…To describe the strategic decision problem, we define the following two logistic functions. Figure 3 depicts the logistic equation [23][24][25].…”
Section: Cost-benefit Analysismentioning
confidence: 99%
“…to become vaccinated decline as vaccination rates rise (Bauch, 2005;Yang, Martcheva, and Chen, 2016). While incorporating game theory is clearly a crucial step in the right direction, once again, individual-level heterogeneity remains severely limited in these models and so it is difficult to understand the multiple ways that individuals may react to one another and to policy.…”
Section: Highlight Four Sets Of Papers That Incorporate Individual Behavior Into Epidemiologymentioning
confidence: 99%