scholarly journals Containing Epidemic Spreading on Networks with Neighbor Resource Supporting

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Chengcheng Song ◽  
Yanyan Chen ◽  
Ning Chen ◽  
Zhuo Liu ◽  
Xuzhen Zhu ◽  
...  
Keyword(s):  
Field Theory ◽  
Complex Networks ◽  
Numerical Simulations ◽  
Mean Field Theory ◽  
Mean Field ◽  
Limited Resources ◽  
Epidemic Outbreak ◽  
Epidemic Spreading ◽  
Spreading Model ◽  
Outbreak Size

Previous studies revealed that the susceptibility, contacting preference, and recovery probability markedly alter the epidemic outbreak size and threshold. The recovery probability of an infected node is closely related to its obtained resources. How to allocate limited resources to infected neighbors is extremely important for containing the epidemic spreading on complex networks. In this paper, we proposed an epidemic spreading model on complex networks, in which we assume that the node has heterogeneous susceptibility and contacting preference, and susceptible nodes are willing to share their resources to neighbors. Through a developed heterogeneous mean-field theory and a large number of numerical simulations, we find that the recovered nodes provide resources uniformly to their infected neighbor nodes, and the epidemic spreading can be suppressed optimally on homogeneous and heterogeneous networks. Besides, altering the susceptibility and contacting preference does not qualitatively change the results. The susceptibility of the node decreases, which makes the outbreak threshold of epidemic spreading increase, and the outbreak size decreases. Our theory agrees well with the numerical simulations.

scholarly journals Ligand rebinding: self-consistent mean-field theory and numerical simulations applied to surface plasmon resonance studies

2005 ◽  
Vol 34 (7) ◽  
pp. 943-958 ◽  
Author(s):  
Manoj Gopalakrishnan ◽  
Kimberly Forsten-Williams ◽  
Theresa R. Cassino ◽  
Luz Padro ◽  
Thomas E. Ryan ◽  
...  
Keyword(s):  
Field Theory ◽  
Surface Plasmon Resonance ◽  
Numerical Simulations ◽  
Surface Plasmon ◽  
Plasmon Resonance ◽  
Mean Field Theory ◽  
Mean Field ◽  
Self Consistent ◽  
Ligand Rebinding

The analysis of epidemic spreading on clique-overlapping growth network

2020 ◽  
Vol 34 (26) ◽  
pp. 2050235
Author(s):  
Zhenzhou Lin
Keyword(s):  
Theoretical Analysis ◽  
Mean Field Theory ◽  
Mean Field ◽  
Epidemic Outbreak ◽  
Epidemic Spreading ◽  
Epidemic Threshold ◽  
Epidemic Dynamics ◽  
Immunization Strategies ◽  
The Mean ◽  
Real Complex

In this paper, we propose a new clique-overlapping growth network and study the epidemic spreading on it. We verify by simulation and theoretical analysis that the degree distribution follows a power-law form. Then, we have simulated the epidemic dynamics in this clique-overlapping growth network. Based on the mean-field theory, we have obtained the theoretical epidemic threshold. We find that the epidemic threshold is related to the evolution mechanism of the network model. The theoretical analysis is well consistent with the simulation results. The results in this model can help people understand the epidemic spreading of various processes, such as infectious diseases, computer viruses, gossips, and so on in real complex networks. Moreover, the appropriate immunization strategies can also be designed based on our results, to hold back the trend of epidemic outbreak.

scholarly journals Mean-field theory of superradiant phase transition in complex networks

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Andrei Yu. Bazhenov ◽  
Dmitriy V. Tsarev ◽  
Alexander P. Alodjants
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Complex Networks ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superradiant Phase

scholarly journals A minimal model for household effects in epidemics

2020 ◽  
Author(s):  
Greg Huber ◽  
Mason Kamb ◽  
Kyle Kawagoe ◽  
Lucy Li ◽  
Boris Veytsman ◽  
...  
Keyword(s):  
Field Theory ◽  
Numerical Simulations ◽  
Minimal Model ◽  
Reproduction Number ◽  
Mean Field Theory ◽  
Mean Field ◽  
Household Size ◽  
Transmission Dynamics ◽  
Square Root ◽  
Close Contacts

Shelter-in-place and other confinement strategies implemented in the current COVID-19 pandemic have created stratified patterns of contacts between people: close contacts within households and more distant contacts between the households. The epidemic transmission dynamics is significantly modified as a consequence. We introduce a minimal model that incorporates these household effects in the framework of mean-field theory and numerical simulations. We show that the reproduction number R0 depends on the household size in a surprising way: linearly for relatively small households, and as a square root of size for larger households. We discuss the implications of the findings for the lockdown, test, tracing, and isolation policies.

scholarly journals Quenched mean-field theory for the majority-vote model on complex networks

2017 ◽  
Vol 120 (1) ◽  
pp. 18003 ◽  
Author(s):  
Feng Huang ◽  
Hanshuang Chen ◽  
Chuansheng Shen
Keyword(s):  
Field Theory ◽  
Complex Networks ◽  
Majority Vote ◽  
Mean Field Theory ◽  
Mean Field ◽  
Vote Model

scholarly journals Virus-Information Coevolution Spreading Dynamics on Multiplex Networks

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Jian Wang ◽  
Xiaolin Qin ◽  
Hongying Fang
Keyword(s):  
Field Theory ◽  
Mathematical Model ◽  
Numerical Simulations ◽  
Systematic Study ◽  
Dynamic Process ◽  
Mean Field Theory ◽  
Mean Field ◽  
Multiplex Networks ◽  
Spreading Dynamics ◽  
Information Spreading

Virus and information spreading dynamics widely exist in complex systems. However, systematic study still lacks for the interacting spreading dynamics between the two types of dynamics. This paper proposes a mathematical model on multiplex networks, which considers the heterogeneous susceptibility and infectivity in two subnetworks. By using a heterogeneous mean-field theory, we studied the dynamic process and outbreak threshold of the system. Through extensive numerical simulations on artificial networks, we find that the virus’s spreading dynamics can be suppressed by increasing the information spreading probability, decreasing the protection power, or decreasing the susceptibility and infectivity.

ON THE MEAN FIELD THEORY OF RANDOM HETEROPOLYMERS

1992 ◽  
Vol 03 (supp01) ◽  
pp. 195-200 ◽  
Author(s):  
SILVIO FRANZ ◽  
MARC MÉZARD ◽  
GIORGIO PARISI
Keyword(s):  
Field Theory ◽  
Numerical Simulations ◽  
Random Potential ◽  
Mean Field Theory ◽  
Mean Field ◽  
Directed Polymers ◽  
Directed Polymer ◽  
Replica Symmetry ◽  
The Mean

We discuss some of the problems appearing in the Mean Field Theory of Random Heteropolymers. We show how an hypothesis of replica symmetry maps this problem onto a directed polymer in a random potential, and explain how this hypothesis can be checked through numerical simulations on directed polymers. The approach of Shaknovitch and Gutin is also reviewed in light of these findings.

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