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Enhancement of scale-free network attack tolerance

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Chinese Physics B 2010年第11期19卷 7-12页

作者：瞿泽辉王璞宋朝鸣秦志光 School of Computer Science and Engineering University of Electric Science & Technology of China Center for Complex network Research(CCNR) Department of PhysicsBiology and Computer ScienceNortheastern University Department of Civil and Environmental Engineering Massachusetts Institute of Technology Cambridge Center for Cancer Systems Biology Dana Farber Cancer InstituteHarvard University

Despite the large size of most communication and transportation systems, there are short paths between nodes in these networks which guarantee the efficient information, data and passenger delivery; furthermore these networks have a surprising tolerance under random errors thanks to their inherent scale-free topology. However, their scale-free topology also makes them fragile under intentional attacks, leaving us a challenge on how to improve the network robustness against intentional attacks without losing their strong tolerance under random errors and high message and passenger delivering capacity. Here We propose two methods （SL method and SH method） to enhance scale-free network＇s tolerance under attack in different conditions.

关键词： scale-free network robustness spatial limited network attack tolerance

Effects of channel noise on synchronization transitions in delayed scale-free network of stochastic Hodgkin–Huxley neurons

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Chinese Physics B 2015年第11期24卷 619-625页

作者：王宝英龚玉兵 Library Ludong University Yantai 264025 China School of Physics and Optoelectronic Engineering Ludong University Yantai 264025 China

We numerically study the effect of the channel noise on the spiking synchronization of a scale-free Hodgkin-Huxley neuron network with time delays. It is found that the time delay can induce synchronization transitions at an intermediate and proper channel noise intensity, and the synchronization transitions become strongest when the channel noise intensity is optimal. The neurons can also exhibit synchronization transitions as the channel noise intensity is varied, and this phenomenon is enhanced at around the time delays that can induce the synchronization transitions. It is also found that the synchronization transitions induced by the channel noise are dependent on the coupling strength and the network average degree, and there is an optimal coupling strength or network average degree with which the synchronization transitions become strongest. These results show that by inducing synchronization transitions, the channel noise has a big regulation effect on the synchronization of the neuronal network. These findings could find potential implications for the information transmission in neural systems.

关键词： channel noise scale-free network time delay synchronization transition

Epidemic spreading on a scale-free network with awareness

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Chinese Physics B 2012年第10期21卷 44-48页

作者：鲁延玲蒋国平宋玉蓉 College of Computer Nanjing University of Posts and Telecommunications College of Automation Nanjing University of Posts and Telecommunications

This paper presents a modified susceptible-infected-recovered（SIR） model with the effects of awareness and vaccination to study the epidemic spreading on scale-free networks based on the mean-field *** this model,when susceptible individuals receive awareness from their infected neighbor nodes,they will take vaccination *** theoretical analysis and the numerical simulations show that the existence of awareness and vaccination can significantly improve the epidemic threshold and reduce the risk of virus *** addition,regardless of the existence of vaccination,the awareness can increase the spreading threshold and slow the spreading speed *** a given awareness and a certain spreading rate,the total number of infections reduces with the increasing vaccination rate.

关键词： scale-free network awareness vaccination epidemic threshold

Massive migration promotes the early spread of COVID-19 in China: a study based on a scale-free network

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Infectious Diseases of Poverty 2020年第4期9卷 161-161页

作者： Wen-Yu Song Pan Zang Zhong-Xing Ding Xin-Yu Fang Li-Guo Zhu Ya Zhu Chang-Jun Bao Feng Chen Ming Wu Zhi-Hang Peng School of Pediatrics Nanjing Medical UniversityNanjing211166JiangsuChina Department of Epidemiology and Biostatistics School of Public HealthNanjing Medical UniversityNanjing211166JiangsuChina Center for Global Health School of Public HealthNanjing Medical UniversityNanjing211166JiangsuChina Jiangsu Provincial Center for Disease Control and Prevention Nanjing211166JiangsuChina Institude of Healthy Jiangsu Development Nanjing Medical UniversityNanjing211166JiangsuChina

Background The coronavirus disease 2019(COVID-19)epidemic met coincidentally with massive migration before Lunar New Year in China in early *** study is to investigate the relationship between the massive migration and the coronavirus disease 2019(COVID-19)epidemic in *** The epidemic data between January 25th and February 15th and migration data between Jan 1st and Jan 24th were collected from the official *** the R package WGCNA,we established a scale-free network of the selected *** analysis was applied to describe the correlation between the Spring Migration and COVID-19 *** The epidemic seriousness in Hubei(except the city of Wuhan)was closely correlated with the migration from Wuhan between January 10 and January 24,*** epidemic seriousness in the other provinces,municipalities and autonomous regions was largely affected by the immigration from *** establishing a scale-free network of the regions,we divided the regions into two *** regions in the brown module consisted of three municipalities,nine provincial capitals and other 12 *** COVID-19 epidemics in these regions were more likely to be aggravated by *** The migration from Wuhan could partly explain the epidemic seriousness in Hubei Province and other *** scale-free network we have established can better evaluate the *** municipalities(Beijing,Shanghai and Tianjin),eight provincial capitals(including Nanjing,Changsha et al.)and 12 other cities(including Qingdao,Zhongshan,Shenzhen et al.)were hub cities in the spread of COVID-19 in China.

关键词： COVID-19 Migration scale-free network

Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal network

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Science China(Technological Sciences) 2016年第3期59卷 364-370页

作者： YILMAZ Ergin BAYSAL Veli PERC Matjaz OZER Mahmut epartment of Biomedical Engineering Engineering Faculty bülent Ecevit University Zonguldak 67100 Turkey Department of Physics Faculty of Sciences King Abdulaziz University Jeddah 21431 Saudi Arabia Faculty of Natural Sciences and Mathematics University of Maribor Korogka cesta 160 Maribor SI-2000 Slovenia Department of Electrical and Electronics Engineering Engineering Faculty bülent Ecevit University Zonguldak 67100 Tarkey

An autapse is an unusual synapse that occurs between the axon and the soma of the same neuron. Mathematically, it can be described as a self-delayed feedback loop that is defined by a specific time-delay and the so-called autaptic coupling strength. Recently, the role and function of autapses within the nervous system has been studied extensively. Here, we extend the scope of theoretical research by investigating the effects of an autapse on the transmission of a weak localized pacemaker activity in a scale-free neuronal network. Our results reveal that by mediating the spiking activity of the pacemaker neuron, an autapse increases the propagation of its rhythm across the whole network, if only the autaptic time delay and the autaptic coupling strength are properly adjusted. We show that the autapse-induced enhancement of the transmission of pacemaker activity occurs only when the autaptic time delay is close to an integer multiple of the intrinsic oscillation time of the neurons that form the network. In particular, we demonstrate the emergence of multiple resonances involving the weak signal, the intrinsic oscillations, and the time scale that is dictated by the autapse. Interestingly, we also show that the enhancement of the pacemaker rhythm across the network is the strongest if the degree of the pacemaker neuron is lowest. This is because the dissipation of the localized rhythm is contained to the few directly linked neurons, and only afterwards, through the secondary neurons, it propagates further. If the pacemaker neuron has a high degree, then its rhythm is simply too weak to excite all the neighboring neurons, and propagation therefore fails.

关键词： autapse self-delayed feedback neuron channel noise scale-free network

Dynamical Evolution of Weighted scale-free network Models

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Dynamical Evolution of Weighted Scale-free Network Models

Study on scale-free network Traffic with Bandwidth of Links

第24届中国控制与决策会议

作者： Dan Wang 1 , Xiaolong Qian 2 , Xiaozheng Jin 1 1. Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang, 1100442. School of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

Inspired by the weighted network model proposed by Barrat, Barthélemy, and Vespignani （BBV）, we construct a new evolving model that characterizes the weighted scale-free networks with community structure by adjusting one parameter. In the process of the evolution, a new node or a new community with a probability is added to the network, and new links are added to the network according to the strength preferential attachment rule. Theoretical analyses and numerical simulations show that our model captures power-law distributions of node strengths and link weights, as confirmed in several real-world systems.

关键词： scale-free network Weighted network

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Study on Scale-free Network Traffic with Bandwidth of Links

Evolution of donations on scale-free networks during a COVID-19 breakout

2010 Chinese Control and Decision Conference

作者： Hao Yu~1,Yucheng Zhou~2,Yan Ma~3,Yuanwei Jing~1 1.School of Information Science and Engineering,Northeastern University,Shenyang,110004 2.Research Institute of Wood Industry Chinese Academy of Forestry,Beijing,100091,China 3.College of Economy & Trade,Qingdao Technological University,Qingdao,266520,China

＜正＞This paper discusses problems on scale-free network traffic,with the bandwidth considered as the delivering ability of ***,the traffic model of scale-free network is established,with the fixed bandwidth,which means the delivering ability of each link as a constant in the *** better understanding traffic dynamic in real systems, the effects of bandwidth on the packet delivering of the traffic systems have been focus ***,some phenomena are found from the simulations,and the change of network load with different bandwidths is researched qualitatively in a ’tunable clustering coefficient’ BA scale-free network and on the background of information *** capacity of network load is higher in the network with the plenteous bandwidth,on the contrary,the capacity of network load degreases substantially induced by the bandwidth *** the light of the theory of complex network topology and traffic,the analytical explanations are provided on the change of the capacity of network load with the restriction of bandwidth.

关键词： Traffic scale-free network Clustering coefficient Bandwidth Degree

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Chinese Physics B 2022年第8期31卷 212-225页

作者： Xian-Jia Wang Lin-Lin Wang Economics and Management School Wuhan UniversityWuhan 430072China Institute of Systems Engineering Wuhan UniversityWuhan 430072China

Having a large number of timely donations during the early stages of a COVID-19 breakout would normally be considered rare. Donation is a special public goods game with zero yield for donors, and it has the characteristics of the prisoners’ dilemma. This paper discusses why timely donations in the early stages of COVID-19 occurred. Based on the idea that donation is a strategy adopted by players during interconnection on account of their understanding of the environment, donation-related populations are placed on social networks and the inter-correlation structures in the population are described by scale-free networks. Players in donation-related populations are of four types: donors, illegal beneficiaries,legal beneficiaries, and inactive people. We model the evolutionary game of donation on a scale-free network. Donors,illegal beneficiaries and inactive people learn and update strategies under the Fermi update rule, whereas the conversion between legal beneficiaries and the other three types is determined by the environment surrounding the players. We study the evolution of cooperative action when the agglomeration coefficient, the parameters of the utility function, the noise intensity, the utility coefficient, the donation coefficient and the initial states of the population on the scale-free network change. For population sizes of 50, 100, 150, and 200, we give the utility functions and the agglomeration coefficients for promoting cooperation and study the corresponding steady states and structural characteristics of the population. We identify the best ranges of the noise intensity K, the donation coefficient α and the utility coefficient β for promoting cooperation at different population sizes. Furthermore, with the increase of the population size, the donor traps are *** the same time, it is discovered that the initial states of the population have a great impact on the steady states;thus the upper and lower triangle phenomena are proposed. We also fi

关键词： donation public goods game evolutionary game scale-free network

Epidemic spreading on scale-free networks with diversity of node anti-attack abilities

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The Journal of China Universities of Posts and Telecommunications 2010年第1期17卷 73-76,126页

作者： SONG Yu-rong JIANG Guo-ping Center for Control and Intelligence Technology Nanjing University of Posts and Telecommunications Nanjing 210003 China College of Automation Nanjing University of Posts and Telecommunications Nanjing 210003 China

In this article, a modified susceptible-infected-removed （SIR） model is proposed to study the influence of diversity of node anti-attack abilities on the threshold of propagation in scale-free networks. In particular, a vulnerability function related to node degree is introduced into the model to describe the diversity of a node anti-attack ability. Analytical results are derived using the mean-field theory and it is observed that the diversity of anti-attack of nodes in scale-free networks can increase effectively the threshold of epidemic propagation. The simulation results agree with the analytical results. The results show that the vulnerability functions can help adopt appropriate immunization strategies.

关键词： epidemic spreading scale-free network SIR model anti-attack vulnerability function