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Existence of periodic solutions in a model of respiratory syncytial virus RSV
Authors:Abraham J Arenas  Gilberto González
Institution:a Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería, Colombia
b Departamento de Cálculo, Universidad de los Andes, Mérida, Venezuela
c Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Edificio 8G, 2o, 46022 Valencia, Spain
Abstract:In this paper we study the existence of a positive periodic solutions for nested models of respiratory syncytial virus RSV, by using a continuation theorem based on coincidence degree theory. Conditions for the existence of periodic solutions in the model are given. Numerical simulations related to the transmission of respiratory syncytial virus in Madrid and Rio Janeiro are included.
Keywords:Respiratory syncytial virus  Epidemiological model  Periodic solution  Continuation theorem  Simulation
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