Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks

2014 ◽  
Vol 19 (4) ◽  
pp. 1042-1054 ◽  
Author(s):  
Chun-Hsien Li ◽  
Chiung-Chiou Tsai ◽  
Suh-Yuh Yang
Keyword(s):  
Heterogeneous Networks ◽  
Epidemic Spreading ◽  
Sirs Model

Modeling the dynamics of epidemic spreading on homogenous and heterogeneous networks

2014 ◽  
Vol 94 (11) ◽  
pp. 2308-2330 ◽  
Author(s):  
Yao Hu ◽  
Lequan Min ◽  
Yang Kuang
Keyword(s):  
Heterogeneous Networks ◽  
Epidemic Spreading

scholarly journals AN EPIDEMIC MODEL ON SMALL-WORLD NETWORKS AND RING VACCINATION

2002 ◽  
Vol 13 (02) ◽  
pp. 189-198 ◽  
Author(s):  
E. AHMED ◽  
A. S. HEGAZI ◽  
A. S. ELGAZZAR
Keyword(s):  
Epidemic Model ◽  
Vaccination Programme ◽  
Foot And Mouth Disease ◽  
Small World ◽  
Analytical Approximation ◽  
Theoretical Explanation ◽  
Small World Networks ◽  
Epidemic Spreading ◽  
Sirs Model ◽  
Ring Vaccination

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.

scholarly journals Global dynamics of an SIRS model with demographics and transfer from infectious to susceptible on heterogeneous networks

2019 ◽  
Vol 16 (5) ◽  
pp. 5729-5749 ◽  
Author(s):  
Haijun Hu ◽  
◽  
Xupu Yuan ◽  
Lihong Huang ◽  
Chuangxia Huang ◽  
...  
Keyword(s):  
Heterogeneous Networks ◽  
Global Dynamics ◽  
Sirs Model

scholarly journals Epidemic spreading on heterogeneous networks with identical infectivity

2007 ◽  
Vol 364 (3-4) ◽  
pp. 189-193 ◽  
Author(s):  
Rui Yang ◽  
Bing-Hong Wang ◽  
Jie Ren ◽  
Wen-Jie Bai ◽  
Zhi-Wen Shi ◽  
...  
Keyword(s):  
Heterogeneous Networks ◽  
Epidemic Spreading

EPIDEMIC SPREADING AND GLOBAL STABILITY OF A NEW SIS MODEL WITH DELAY ON HETEROGENEOUS NETWORKS

2015 ◽  
Vol 23 (04) ◽  
pp. 1550029 ◽  
Author(s):  
HUIYAN KANG ◽  
YIJUN LOU ◽  
GUANRONG CHEN ◽  
SEN CHU ◽  
XINCHU FU
Keyword(s):  
Global Stability ◽  
Heterogeneous Networks ◽  
Lyapunov Functional ◽  
Functional Differential Equations ◽  
Epidemic Spreading ◽  
Epidemic Threshold ◽  
Sis Model ◽  
Vector Population ◽  
Functional Differential ◽  
Disease Free

In this paper, we study a susceptible-infected-susceptible (SIS) model with time delay on complex heterogeneous networks. Here, the delay describes the incubation period in the vector population. We calculate the epidemic threshold by using a Lyapunov functional and some analytical methods, and find that adding delay increases the epidemic threshold. Then, we prove the global stability of disease-free and endemic equilibria by using the theory of functional differential equations. Furthermore, we show numerically that the epidemic threshold of the new model may change along with other factors, such as the infectivity function, the heterogeneity of the network, and the degrees of nodes. Finally, we find numerically that the delay can affect the convergence speed at which the disease reaches equilibria.

scholarly journals The SIRS Model of Epidemic Spreading in Virtual Society

2008 ◽  
Vol 114 (3) ◽  
pp. 589-596 ◽  
Author(s):  
A. Grabowski ◽  
R. Kosiński
Keyword(s):  
Epidemic Spreading ◽  
Sirs Model
Sign in / Sign up

Export Citation Format

Share Document