A delay differential equations model for disease transmisión dynamics

 

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Xehetasun bibliografikoak
Egileak: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Formatua: artículo original
Egoera:Versión publicada
Argitaratze data:2019
Deskribapena: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.
Herria:Portal de Revistas UCR
Erakundea:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Hizkuntza:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/39948
Sarrera elektronikoa:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/39948
Gako-hitza: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