COMPARTMENTAL AGE OF INFECTION EPIDEMIC MODELS

BIOMAT 2012 ◽  
2013 ◽  
Author(s):  
FRED BRAUER
2009 ◽  
Vol 02 (01) ◽  
pp. 61-67 ◽  
Author(s):  
JUN-YUAN YANG ◽  
FENG-QIN ZHANG ◽  
XIAO-YAN WANG

accination is a very important strategy for the elimination of infectious diseases. An SIV epidemic model with age of infection and vaccination has been formulated in this paper. Using the theory of differential and integral equation, we show that the infection-free equilibrium is locally asymptotically stable if the reproductive number R0 < 1, and the endemic equilibrium is locally asymptotically stable if R0 > 1.


2009 ◽  
Vol 3 (2-3) ◽  
pp. 324-330 ◽  
Author(s):  
Fred Brauer ◽  
James Watmough

2021 ◽  
Vol 13 (3) ◽  
pp. 76
Author(s):  
Quintino Francesco Lotito ◽  
Davide Zanella ◽  
Paolo Casari

The pervasiveness of online social networks has reshaped the way people access information. Online social networks make it common for users to inform themselves online and share news among their peers, but also favor the spreading of both reliable and fake news alike. Because fake news may have a profound impact on the society at large, realistically simulating their spreading process helps evaluate the most effective countermeasures to adopt. It is customary to model the spreading of fake news via the same epidemic models used for common diseases; however, these models often miss concepts and dynamics that are peculiar to fake news spreading. In this paper, we fill this gap by enriching typical epidemic models for fake news spreading with network topologies and dynamics that are typical of realistic social networks. Specifically, we introduce agents with the role of influencers and bots in the model and consider the effects of dynamical network access patterns, time-varying engagement, and different degrees of trust in the sources of circulating information. These factors concur with making the simulations more realistic. Among other results, we show that influencers that share fake news help the spreading process reach nodes that would otherwise remain unaffected. Moreover, we emphasize that bots dramatically speed up the spreading process and that time-varying engagement and network access change the effectiveness of fake news spreading.


Author(s):  
Vladislav N. Kovalnogov ◽  
Theodore E. Simos ◽  
Charalampos Tsitouras
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document