A delay differential equations model for disease transmisión dynamics

 

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Autors: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Format: artículo original
Estat:Versión publicada
Data de publicació:2019
Descripció:A delay differential equations epidemic model of SIQR (SusceptibleInfective-Quarantined-Recovered) type, with arbitrarily distributed periods in the isolation or quarantine class, is proposed. Its essential mathematical features are analyzed. In addition, conditions that support the existence of periodic solutions via Hopf bifurcation are identified. Nonexponential waiting times in the quarantine/isolation class lead not only to oscillations but can also support stability switches.
Pais:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Idioma:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/39948
Accés en línia:https://revistas.ucr.ac.cr/index.php/matematica/article/view/39948
Paraula clau:delay differential equation
integro-differential equation
epidemic model
quarantine
stability switch
oscillations
stage structure
ecuación diferencial con retraso
ecuación integro-diferencial
modelo epidémico
cuarentena
cambio de estabilidad
oscilaciones
estructura por etapas