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Imitation dynamics of vaccine decision-making behaviours based on the game theory
Junyuan Yang1, Maia Martcheva2, Yuming Chen1,3
1a Department of Applied Mathematics , Yuncheng University , Yuncheng, Shanxi , People's Republic of China.
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.
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