The analysis of anSEIRrumor propagation model on heterogeneous network

Qiming Liu1, Tao Li1, Meici Sun1
1Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China

Tài liệu tham khảo

Daley, 1964, Epidemics and rumours, Nature, 204, 1118, 10.1038/2041118a0 Barabási, 1999, Emergence of scaling in random networks, Science, 286, 509, 10.1126/science.286.5439.509 Sudbury, 1985, The proportion of population never hearing a rumour, J. Appl. Probab., 22, 443, 10.2307/3213787 Chierichetti, 2011, Rumorspreading in social networks, Theoret. Comput. Sci., 412, 2602, 10.1016/j.tcs.2010.11.001 Roshani, 2012, Effects of degree-biased transmission rate and nonlinear infectivity on rumor spreading in complex social networks, Phys. Rev. E, 85, 10.1103/PhysRevE.85.036109 D.W. Soh,  Quek, et al. Randomized rumor spreading in non-static networks, in: 2011 International Conference on ICT Convergence, 2011 pp. 156–160. Shah, 2011, Rumors in a network: who’s the culprit?, IEEE Trans. Inform. Theory, 57, 5163, 10.1109/TIT.2011.2158885 Moreno, 2004, Dynamics of rumor spreading in complex network, Physical E, 69 Moreno, 2004, Efficiency and reliability of epidemic data dissemination in complex networks, Physical E, 69 Zhao, 2011, Rumor spreading model with consideration of forgetting mechanism: a case of online blogging live journal, Physica A, 390, 2619, 10.1016/j.physa.2011.03.010 Zhao, 2013, SIR rumor spreading model in the new media age, Physica A, 392, 995, 10.1016/j.physa.2012.09.030 Zhao, 2012, SIHR rumor spreading model in social networks, Physica A, 391, 2444, 10.1016/j.physa.2011.12.008 Su, 2015, An information propagation model considering incomplete reading behavior in microblog, Physica A, 419, 55, 10.1016/j.physa.2014.10.042 Xia, 2015, Rumor spreading models considering hestitating mechanism in complex social networks, Physica A, 437, 295, 10.1016/j.physa.2015.05.113 Pastor-Satorras, 2002, Epidemic dynamics in finite size scale-free networks, Phys. Rev. E, 65, 10.1103/PhysRevE.65.035108 Zhang, 2009, Spreading of epidemics on scale-free networks with nonlinear infectivity, Nonlinear Anal., 70, 3273, 10.1016/j.na.2008.04.031 van den Driessche, 2002, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180, 29, 10.1016/S0025-5564(02)00108-6 Hale, 1969 Yoshiizawa, 1966 Liao, 2001 Pastor-Satorras, 2002, Epidemic dynamics in finite size scale-free networks, Phys. Rev. E, 65, 10.1103/PhysRevE.65.035108 Zhang, 2011, The analysis of an epidemic model on networks, Appl. Math. Comput., 217, 7053, 10.1016/j.amc.2010.09.063 Kermack, 1927, Contributions to the mathematical theory of epidemics, Proc. R. Soc. A, 115, 700, 10.1098/rspa.1927.0118 Li, 2010, Epidemic outbreaks on networks with effective contacts, Nonlinear Anal. RWA, 11, 1017, 10.1016/j.nonrwa.2009.01.046 Wang, 2014, SIRaRu rumor spreading model in complex networks, Physica, 398, 43, 10.1016/j.physa.2013.12.004 Fu, 2008, Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization, Phys. Rev. E, 77, 10.1103/PhysRevE.77.036113