A delay differential equations model for disease transmisión dynamics

 

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Dettagli Bibliografici
Autori: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:2019
Descrizione: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.
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/39948
Accesso online:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/39948
Keyword: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