A delay differential equations model for disease transmisión dynamics

 

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Библиографические подробности
Авторы: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Формат: artículo original
Статус:Versión publicada
Дата публикации:2019
Описание: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.
Страна:Portal de Revistas UCR
Институт:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Язык:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/39948
Online-ссылка:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/39948
Ключевое слово: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