title: 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.
authors.affiliation: a Department of Applied Mathematics , Yuncheng University , Yuncheng, Shanxi , People's Republic of China.
authors.forename: Junyuan
authors.initials: J
authors.lastname: Yang
authors.affiliation: b Department of Mathematics , University of Florida , Gainesville , FL, USA.
authors.forename: Maia
authors.initials: M
authors.lastname: Martcheva
authors.affiliation: a Department of Applied Mathematics , Yuncheng University , Yuncheng, Shanxi , People's Republic of China.|c Department of Mathematics , Wilfrid Laurier University , Waterloo, Ontario , Canada.
authors.forename: Yuming
authors.initials: Y
authors.lastname: Chen
mesh_terms: D003140:Communicable Disease Control; D003657:Decision Making; D005716:Game Theory; D006801:Humans; D008962:Models, Theoretical; D014612:Vaccines / Q000008:administration & dosage*
chemical_list: D014612:Vaccines
keywords: Hopf bifurcation; SIR model; decision-making; game theory; stability