scholarly journals The SIRS Model of Epidemic Spreading in Virtual Society

2008 ◽  
Vol 114 (3) ◽  
pp. 589-596 ◽  
Author(s):  
A. Grabowski ◽  
R. Kosiński
2002 ◽  
Vol 13 (02) ◽  
pp. 189-198 ◽  
Author(s):  
E. AHMED ◽  
A. S. HEGAZI ◽  
A. S. ELGAZZAR

A modified version of susceptible-infected-recovered-susceptible (SIRS) model for the outbreaks of foot-and-mouth disease (FMD) is introduced. The model is defined on small-world networks, and a ring vaccination programme is included. This model can be a theoretical explanation for the nonlocal interactions in epidemic spreading. Ring vaccination is capable of eradicating FMD provided that the probability of infection is high enough. Also an analytical approximation for this model is studied.


2015 ◽  
Vol 29 (08) ◽  
pp. 1550023 ◽  
Author(s):  
Fuzhong Nian ◽  
Ke Wang

In this paper, a new immunization strategy was established to prevent the epidemic spreading based on the principle of "Multi-granularity" and "Pre-warning Mechanism", which send different pre-warning signal with the risk rank of the susceptible node to be infected. The pre-warning means there is a higher risk that the susceptible node is more likely to be infected. The multi-granularity means the susceptible node is linked with multi-infected nodes. In our model, the effect of the different situation of the multi-granularity immunizations is compared and different spreading rates are adopted to describe the epidemic behavior of nodes. In addition the threshold value of epidemic outbreak is investigated, which makes the result more convincing. The theoretical analysis and the simulations indicate that the proposed immunization strategy is effective and it is also economic and feasible.


2021 ◽  
Vol 105 (4) ◽  
pp. 3819-3833
Author(s):  
Haili Guo ◽  
Qian Yin ◽  
Chengyi Xia ◽  
Matthias Dehmer

2021 ◽  
Vol 82 (6) ◽  
Author(s):  
Christophe Besse ◽  
Grégory Faye

2021 ◽  
Vol 104 ◽  
pp. 29-42
Author(s):  
Yunlong An ◽  
Xi Lin ◽  
Meng Li ◽  
Fang He

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