A Dynamic Evolution Model of Airline Networks
Ze-Jun Xie** , Lu-Man Zhang, Sheng-Feng Deng, Wei Li
College of Physical Science and Technology, Central China Normal University, Wuhan 430079
Abstract :Empirical data show that most of the degree distribution of airline networks assume a double power law. In this work, firstly, we assume cities as sites, flight between two cities as an edge between two sites, and build a dynamic evolution model for airline networks by improving the BA model, in which the conception of attractiveness plays a decisive role in the course of evolution of the networks. To this end, we discuss whether the attractiveness depends on the site label $s$ or not separately, finally we obtain analytic degree distribution. As a result, if the attractiveness of a site is independent of the degree distribution of sites, which will follow the double power law, otherwise, it will be scale-free. Moreover, degree distribution depends on the parameters of the models, and some parameters are more sensitive than others.
收稿日期: 2017-01-11
出版日期: 2017-04-29
[1] Barabási A L, Albert R and Jeong H 1999 Physica A 272 173 [2] Amaral L A N, Scala A, Barthelemy M and Stanley H E 2000 Proc. Natl. Acad. Sci. USA 97 11149 [3] Barrat A, Barthelemy M, Pastor-Satorras R and Vespignani A 2004 Proc. Natl. Acad. Sci. USA 101 3747 [4] Barrat A, Barthélemy M and Vespignani A 2005 J. Stat. Mech: Theory Exp. 2005 P05003 [5] Guimera R and Amaral L A N 2004 Eur. Phys. J. B 38 381 [6] Guimera R, Mossa S, Turtschi A and Amaral L A 2005 Proc. Natl. Acad. Sci. USA 102 7794 [7] Barthélemy M, Barrat A, Pastor-Satorras R and Vespignani A 2005 Physica A 346 34 [8] Chi L P, Wang R, Su H, Xu X P, Zhao J S, Li W and Cai X 2003 Chin. Phys. Lett. 20 1393 [9] Wang R and Cai X 2005 Chin. Phys. Lett. 22 2715 [10] Li W and Cai X 2004 Phys. Rev. E 69 046106 [11] Dorogovtsev S N, Mendes J F F and Samukhin A N 2000 Phys. Rev. Lett. 85 4633 [12] Bateman and Harry 1953 Higher Transcendental Functions vol I–III (New York: McGraw-Hill Book Company) [13] Bagler and Ganesh 2008 Physica A 387 2972 [14] Guida M and Maria F 2007 Chaos Solitons Fractals 31 527
[1]
. [J]. 中国物理快报, 2022, 39(8): 80503-080503.
[2]
. [J]. 中国物理快报, 2017, 34(6): 68901-.
[3]
. [J]. 中国物理快报, 2016, 33(10): 108901-108901.
[4]
. [J]. 中国物理快报, 2016, 33(06): 68901-068901.
[5]
. [J]. 中国物理快报, 2015, 32(12): 128901-128901.
[6]
. [J]. 中国物理快报, 2015, 32(03): 30501-030501.
[7]
. [J]. Chin. Phys. Lett., 2013, 30(3): 38901-038901.
[8]
. [J]. 中国物理快报, 2012, 29(8): 88902-088902.
[9]
LI Ling**;JIN Zhen-Lan
. Scale-Free Brain Networks Based on the Event-Related Potential during Visual Spatial Attention [J]. 中国物理快报, 2011, 28(4): 48701-048701.
[10]
ZHANG Jiang**;WANG You-Gui
. Size Dependency of Income Distribution and Its Implications [J]. 中国物理快报, 2011, 28(3): 38901-038901.
[11]
ZOU Sheng-Rong;XU Ying-Ying;XU Xiu-Lian;WANG Jian;HE Da-Ren**
. A Simple Model of Interaction between Journals, Authors and Editorial Board Members [J]. 中国物理快报, 2011, 28(1): 18902-018902.
[12]
XU Yan;GUO Liang-Peng;DING Ning;WANG You-Gui. Evidence of Scaling in Chinese Income Distribution [J]. 中国物理快报, 2010, 27(7): 78901-078901.
[13]
ZHU Jun-Fang;HAN Xiao-Pu;WANG Bing-Hong;. Statistical Property and Model for the Inter-Event Time of Terrorism Attacks [J]. 中国物理快报, 2010, 27(6): 68902-068902.
[14]
LIU Jian-Ye;;GUO Wen-Jun. Finding a Probe for Extracting Information on the Momentum Dependent-Interaction in Heavy Ion Collisions [J]. 中国物理快报, 2010, 27(6): 62503-062503.
[15]
SHANG Ming-Sheng;CHEN Guan-Xiong;DAI Shuang-Xing;WANG Bing-Hong;ZHOU Tao;. Interest-Driven Model for Human Dynamics [J]. 中国物理快报, 2010, 27(4): 48701-048701.