A delay differential equations model for disease transmisión dynamics

 

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Bibliographic Details
Authors: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Format: artículo original
Status:Versión publicada
Publication Date:2019
Description: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.
Country:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Language:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/39948
Online Access:https://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