Quarantine in an epidemic model with seasonality
نویسندگان
چکیده
منابع مشابه
Renaissance model of an epidemic with quarantine.
Quarantine is one possible solution to limit the propagation of an emerging infectious disease. Typically, infected individuals are removed from the population by avoiding physical contact with healthy individuals. A key factor for the success of a quarantine strategy is the carrying capacity of the facility. This is often a known parameter, while other parameters such as those defining the pop...
متن کاملPositive Periodic Solutions of an Epidemic Model with Seasonality
An SEI autonomous model with logistic growth rate and its corresponding nonautonomous model are investigated. For the autonomous case, we give the attractive regions of equilibria and perform some numerical simulations. Basic demographic reproduction number R d is obtained. Moreover, only the basic reproduction number R 0 cannot ensure the existence of the positive equilibrium, which needs addi...
متن کاملA nonautonomous epidemic model with general incidence rate and quarantine
We obtain threshold conditions for eradication and permanence of the disease for a nonautonomous SIRQ model with time-dependent incidence rates, given by functions of all compartments in some general family. The threshold conditions are given by some numbers that play the role of the basic reproduction number. Additionally, we obtain simple threshold conditions in the asymptotically autonomous ...
متن کاملQuarantine generated phase transition in epidemic spreading
We study the critical effect of quarantine on the propagation of epidemics on an adaptive network of social contacts. For this purpose, we analyze the susceptible-infected-recovered model in the presence of quarantine, where susceptible individuals protect themselves by disconnecting their links to infected neighbors with probability w and reconnecting them to other susceptible individuals chos...
متن کاملThe final size of a SARS epidemic model without quarantine
In this article, we present the continuing work on a SARS model without quarantine by Hsu and Hsieh [Sze-Bi Hsu, Ying-Hen Hsieh, Modeling intervention measures and severity-dependent public response during severe acute respiratory syndrome outbreak, SIAM J. Appl. Math. 66 (2006) 627–647]. An “acting basic reproductive number” ψ is used to predict the final size of the susceptible population. We...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
سال: 2019
ISSN: 1578-7303,1579-1505
DOI: 10.1007/s13398-019-00753-x