Spreading Dynamics of an Advertisement Model with Time Delay on Scale-free Networks

In the SIR model once a node is cured after infection it becomes permanently immune,but we assume this immunity to be temporary. So we obtain an epidemic model with time delay on scale-free networks. Using the mean field theory the spreading threshold and the spreading dynamics is analyzed. Theoretical results indicate that the threshold is significantly dependent on the topology of scale-free networks and time delay. Numerical simulations confirmed the theoretical results.

Download Full-text

Dynamics analysis of an online gambling spreading model on scale-free networks

Advances in Difference Equations ◽

10.1186/s13662-020-03165-z ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Yu Kong ◽

Tao Li ◽

Yuanmei Wang ◽

Xinming Cheng ◽

He Wang ◽

...

Keyword(s):

Network Topology ◽

Negative Impact ◽

Online Gambling ◽

Basic Reproductive Number ◽

Reproductive Number ◽

Scale Free ◽

Spreading Model ◽

Spreading Dynamics ◽

Scale Free Networks ◽

Gambling Policy

AbstractNowadays, online gambling has a great negative impact on the society. In order to study the effect of people’s psychological factors, anti-gambling policy, and social network topology on online gambling dynamics, a new SHGD (susceptible–hesitator–gambler–disclaimer) online gambling spreading model is proposed on scale-free networks. The spreading dynamics of online gambling is studied. The basic reproductive number $R_{0}$ R 0 is got and analyzed. The basic reproductive number $R_{0}$ R 0 is related to anti-gambling policy and the network topology. Then, gambling-free equilibrium $E_{0}$ E 0 and gambling-prevailing equilibrium $E_{ +} $ E + are obtained. The global stability of $E_{0}$ E 0 is analyzed. The global attractivity of $E_{ +} $ E + and the persistence of online gambling phenomenon are studied. Finally, the theoretical results are verified by some simulations.

Download Full-text

Stability and optimal control strategy analysis for a class of SEIQR model with time delay on scale-free networks

Physica Scripta ◽

10.1088/1402-4896/ac2bdd ◽

2021 ◽

Author(s):

Yuanyuan Ma ◽

Min Wang ◽

Yue Cui

Keyword(s):

Optimal Control ◽

Time Delay ◽

Control Strategy ◽

Optimal Control Strategy ◽

Strategy Analysis ◽

Scale Free ◽

Scale Free Networks

Download Full-text

Spreading dynamics of a cyber violence model on scale-free networks

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.121752 ◽

2019 ◽

Vol 531 ◽

pp. 121752 ◽

Cited By ~ 1

Author(s):

Wenjin Liu ◽

Tao Li ◽

Xinming Cheng ◽

Hao Xu ◽

Xiongding Liu

Keyword(s):

Scale Free ◽

Spreading Dynamics ◽

Scale Free Networks ◽

Cyber Violence

Download Full-text

Spreading dynamics of an online social rumor model with psychological factors on scale-free networks

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.03.037 ◽

2019 ◽

Vol 525 ◽

pp. 234-246 ◽

Cited By ~ 5

Author(s):

Hao Xu ◽

Tao Li ◽

Xiongding Liu ◽

Wenjin Liu ◽

Jing Dong

Keyword(s):

Psychological Factors ◽

Scale Free ◽

Spreading Dynamics ◽

Scale Free Networks

Download Full-text

Research on SIQRS Spreading Dynamic Model with Feedback Mechanism on Scale-Free Networks

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.989-994.4524 ◽

2014 ◽

Vol 989-994 ◽

pp. 4524-4527

Author(s):

Tao Li ◽

Yuan Mei Wang ◽

You Ping Yang

Keyword(s):

Dynamic Model ◽

Mean Field Theory ◽

Mean Field ◽

Feedback Mechanism ◽

Epidemic Spreading ◽

Scale Free ◽

Spreading Dynamics ◽

Scale Free Networks ◽

The Mean ◽

The Relationship

A modified spreading dynamic model with feedback-mechanism based on scale-free networks is presented in this study. Using the mean field theory, the spreading dynamics of the model is analyzed. The spreading threshold and equilibriums are derived. The relationship between the spreading threshold, the epidemic steady-state and the feedback-mechanism is analyzed in detail. Theoretical results indicate the feedback-mechanism can increase the spreading threshold, resulting in effectively controlling the epidemic spreading.

Download Full-text