Towards Identifying and Predicting Spatial Epidemics on Complex Meta-population Networks

Author(s):  
Xiang Li ◽  
Jian-Bo Wang ◽  
Cong Li
Keyword(s):  
2019 ◽  
Vol 29 ◽  
pp. 187-198 ◽  
Author(s):  
Carolyn Augusta ◽  
Rob Deardon ◽  
Graham Taylor

2010 ◽  
Vol 6 (12) ◽  
pp. e1001030 ◽  
Author(s):  
Maarten Chris Boerlijst ◽  
Willem Marijn van Ballegooijen

1996 ◽  
Vol 33 (4) ◽  
pp. 933-939 ◽  
Author(s):  
Mathew D. Penrose

In the epidemic with removal with range r, each site z, once infected, remains so for a period of time Tz, the variables Tz being i.i.d. with mean μ. While infected, a site infects its healthy r-neighbours independently at total rate α. After infection, sites become immune. We show that the critical rate of infection αc (r), above which an epidemic starting from a single site may continue forever, converges to μ–1 as r →∞.


2010 ◽  
Vol 264 (1) ◽  
pp. 95-103 ◽  
Author(s):  
Gui-Quan Sun ◽  
Quan-Xing Liu ◽  
Zhen Jin ◽  
Amit Chakraborty ◽  
Bai-Lian Li

2010 ◽  
Vol 21 (08) ◽  
pp. 983-989 ◽  
Author(s):  
LI LI ◽  
GUI-QUAN SUN ◽  
ZHEN JIN

We analyze a spatial susceptible-infected epidemic model using cellular automata and investigate the relations between the power-law distribution of patch sizes and the regime of invasion. The obtained results show that, when the invasion is in the form of coexistence of stable target and spiral wave, power-law will emerge, which may provide a new insight into the control of disease.


2011 ◽  
Vol 84 (4) ◽  
pp. 579-587 ◽  
Author(s):  
V. Belik ◽  
T. Geisel ◽  
D. Brockmann

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