A delay differential equations model for disease transmisión dynamics

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awduron: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Fformat: artículo original
Statws:Versión publicada
Dyddiad Cyhoeddi:2019
Disgrifiad: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.
Gwlad:Portal de Revistas UCR
Sefydliad:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Iaith:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/39948
Mynediad Ar-lein:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/39948
Allweddair: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