Research on Rumor Spreading Model with Time Delay and Control Effect

References

[1] Kosfeld M. Rumours and markets. Journal of Mathematical Economics, 2005, 41(6): 646–664.10.1016/j.jmateco.2004.05.001Suche in Google Scholar

[2] Pendleton S C. Rumor research revisited and expanded. Language & Communication, 1998, 18(1): 69–86.10.1016/S0271-5309(97)00024-4Suche in Google Scholar

[3] Goffman W, Newill V A. Generalization of epidemic theory: An application to the transmission of ideas. Nature, 1964, 204(4955): 225–228.10.1038/204225a0Suche in Google Scholar PubMed

[4] Daley D J, Kendall D G. Epidemics and rumours. Nature, 1964, 204(4963): 1118.10.1038/2041118a0Suche in Google Scholar PubMed

[5] Kawachi K, Seki M, Yoshida H, et al. A rumor transmission model with various contact interactions. Journal of Theoretical Biology, 2008, 253(1): 55–60.10.1016/j.jtbi.2007.11.024Suche in Google Scholar PubMed

[6] Zhao L, Wang J, Chen Y, et al. SIHR rumor spreading model in social networks. Physica A: Statistical Mechanics and Its Applications, 2012, 391(7): 2444–2453.10.1016/j.physa.2011.12.008Suche in Google Scholar

[7] Afassinou K. Analysis of the impact of education rate on the rumor spreading mechanism. Physica A: Statistical Mechanics and Its Applications, 2014, 414: 43–52.10.1016/j.physa.2014.07.041Suche in Google Scholar

[8] Zhang N, Huang H, Su B, et al. Dynamic 8-state ICSAR rumor propagation model considering official rumor refutation. Physica A: Statistical Mechanics and Its Applications, 2014, 415: 333–346.10.1016/j.physa.2014.07.023Suche in Google Scholar

[9] Huo L, Ma C. Dynamical analysis of rumor spreading model with impulse vaccination and time delay. Physica A: Statistical Mechanics and Its Applications, 2017, 471: 653–665.10.1016/j.physa.2016.12.024Suche in Google Scholar

[10] Hosseini S, Azgomi M A. A model for malware propagation in scale-free networks based on rumor spreading process. Computer Networks, 2016, 108: 97–107.10.1016/j.comnet.2016.08.010Suche in Google Scholar

[11] Liu Q, Li T, Sun M. The analysis of an SEIR rumor propagation model on heterogeneous network. Physica A: Statistical Mechanics and Its Applications, 2017, 469: 372–380.10.1016/j.physa.2016.11.067Suche in Google Scholar

[12] Zhang Y, Zhu J. Stability analysis of I2S2R rumor spreading model in complex networks. Physica A: Statistical Mechanics and Its Applications, 2018, 503: 862–881.10.1016/j.physa.2018.02.087Suche in Google Scholar

[13] Zan Y. DSIR double-rumors spreading model in complex networks. Chaos, Solitons and Fractals, 2018, 110: 191–202.10.1016/j.chaos.2018.03.021Suche in Google Scholar

[14] Statman M. Behavioral finance: Finance with normal people. Borsa Istanbul Review, 2014, 14(2): 65–73.10.1016/j.bir.2014.03.001Suche in Google Scholar

[15] Faia E. Sovereign risk, bank funding and investors’ pessimism. Journal of Economic Dynamics and Control, 2017, 79: 79–96.10.1016/j.jedc.2017.03.010Suche in Google Scholar

[16] Andrei D, Cujean J. Information percolation, momentum and reversal. Social Science Electronic Publishing, 2017, 123(3): 617–645.10.1016/j.jfineco.2016.05.012Suche in Google Scholar

[17] Chou H I, Tian G Y, Yin X. Takeover rumors: Returns and pricing of rumored targets. International Review of Financial Analysis, 2015, 41: 13–27.10.1016/j.irfa.2015.05.006Suche in Google Scholar

[18] Hu Y, Pan Q, Hou W, et al. Rumor spreading model with the different attitudes towards rumors. Physica A: Statistical Mechanics and Its Applications, 2018, 502: 331–344.10.1016/j.physa.2018.02.096Suche in Google Scholar

[19] Misra A K, Sharma A, Shukla J B. Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases. Mathematical and Computer Modelling, 2011, 53(5–6): 1221–1228.10.1016/j.mcm.2010.12.005Suche in Google Scholar

[20] Misra A K, Sharma A, Shukla J B. Stability analysis and optimal control of an epidemic model with awareness programs by media. Biosystems, 2015, 138: 53–62.10.1016/j.biosystems.2015.11.002Suche in Google Scholar PubMed

[21] Samanta S, Rana S, Sharma A, et al. Effect of awareness programs by media on the epidemic outbreaks: A mathematical model. Applied Mathematics and Computation, 2013, 219(12): 6965–6977.10.1016/j.amc.2013.01.009Suche in Google Scholar

[22] Greenhalgh D, Rana S, Samanta S, et al. Awareness programs control infectious disease — Multiple delay induced mathematical model. Applied Mathematics and Computation, 2015, 251: 539–563.10.1016/j.amc.2014.11.091Suche in Google Scholar

[23] Agaba G O, Kyrychko Y N, Blyuss K B. Dynamics of vaccination in a time-delayed epidemic model with awareness. Mathematical Biosciences, 2017, 294: 92–99.10.1016/j.mbs.2017.09.007Suche in Google Scholar

[24] Agaba G O, Kyrychko Y N, Blyuss K B. Time-delayed SIS epidemic model with population awareness. Ecological Complexity, 2017, 31: 50–56.10.1016/j.ecocom.2017.03.002Suche in Google Scholar

[25] Melesse D Y, Gumel A B. Global asymptotic properties of an SEIRS model with multiple infectious stages. Journal of Mathematical Analysis and Applications, 2010, 366(1): 202–217.10.1016/j.jmaa.2009.12.041Suche in Google Scholar

[26] Van den Driessche P, Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical biosciences, 2002, 180(1–2): 29–48.10.1016/S0025-5564(02)00108-6Suche in Google Scholar PubMed

[27] Wang Y, Cao J, Jin Z, et al. Impact of media coverage on epidemic spreading in complex networks. Physica A: Statistical Mechanics and Its Applications, 2013, 392(23): 5824–5835.10.1016/j.physa.2013.07.067Suche in Google Scholar PubMed PubMed Central

[28] Butler G, Freedman H I, Waltman P. Uniformly Persistent Systems. Proceedings of the American Mathematical Society, 1986, 96(3): 425–430.10.1090/S0002-9939-1986-0822433-4Suche in Google Scholar

[29] Breda D, Maset S, Vermiglio R. TRACE-DDE: A tool for robust analysis and characteristic equations for delay differential equations. Topics in Time Delay Systems. Springer, Berlin, Heidelberg, 2009: 145–155.10.1007/978-3-642-02897-7_13Suche in Google Scholar

[30] Breda D, Maset S, Vermiglio R. Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary conditions. Applied Numerical Mathematics, 2006, 56(3–4): 318–331.10.1016/j.apnum.2005.04.011Suche in Google Scholar