A delay differential equations model for disease transmisión dynamics

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2019
Περιγραφή: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.
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/39948
Διαθέσιμο Online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/39948
Λέξη-Κλειδί :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