A delay differential equations model for disease transmisión dynamics

 

Guardado en:
Sonraí Bibleagrafaíochta
Autores: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Formáid: artículo original
Stádas:Versión publicada
Fecha de Publicación:2019
Cur Síos: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.
País:Portal de Revistas UCR
Institiúid:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Teanga:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/39948
Rochtain Ar Líne:https://revistas.ucr.ac.cr/index.php/matematica/article/view/39948
Palabra clave: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