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Volumn 2015, Issue 1, 2015, Pages

Optimal control of a rumor propagation model with latent period in emergency event

Author keywords

asymptotical stable; emergency event; optimal control; rumor propagation

Indexed keywords


EID: 84923848762     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/s13662-015-0394-x     Document Type: Article
Times cited : (52)

References (37)
  • 6
    • 0034701844 scopus 로고    scopus 로고
    • The exact solution of the general stochastic rumour
    • Pearce, CEM: The exact solution of the general stochastic rumour. Math. Comput. Model. 31, 289-298 (2000)
    • (2000) Math. Comput. Model , vol.31 , pp. 289-298
    • Pearce, C.E.M.1
  • 7
    • 0034351078 scopus 로고    scopus 로고
    • The Maki-Thompson rumour model: a detailed analysis
    • Gani, J: The Maki-Thompson rumour model: a detailed analysis. Environ. Model. Softw. 15, 721-725 (2000)
    • (2000) Environ. Model. Softw , vol.15 , pp. 721-725
    • Gani, J.1
  • 8
    • 0344303631 scopus 로고    scopus 로고
    • Rumours, epidemics, and processes of mass action: synthesis and analysis
    • Dickinson, RE, Pearce, CEM: Rumours, epidemics, and processes of mass action: synthesis and analysis. Math. Comput. Model. 38, 1157-1167 (2003)
    • (2003) Math. Comput. Model , vol.38 , pp. 1157-1167
    • Dickinson, R.E.1    Pearce, C.E.M.2
  • 9
    • 33645163386 scopus 로고    scopus 로고
    • Models for the transmission dynamics of fanatic behaviors
    • Banks T, Castillo-Chávezs C, (eds), SIAM Series Frontiers in Applied Mathematics, 28
    • Castillo-Chávez, C, Song, B: Models for the transmission dynamics of fanatic behaviors. In: Banks, T, Castillo-Chávezs, C (eds.) Bioterrorism: Mathematical Modeling Applications to Homeland Security. SIAM Series Frontiers in Applied Mathematics, vol. 28, pp. 155-172 (2003)
    • (2003) Bioterrorism: Mathematical Modeling Applications to Homeland Security , pp. 155-172
    • Castillo-Chávez, C.1    Song, B.2
  • 10
    • 33645136546 scopus 로고    scopus 로고
    • The power of a good idea: quantitative modeling of the spread of ideas from epidemiological models
    • Bettencourt, LMA: The power of a good idea: quantitative modeling of the spread of ideas from epidemiological models. Physica A 364, 513-536 (2006)
    • (2006) Physica A , vol.364 , pp. 513-536
    • Bettencourt, L.M.A.1
  • 11
    • 48249083347 scopus 로고    scopus 로고
    • Deterministic models for rumor transmission
    • Kawachi, K: Deterministic models for rumor transmission. Nonlinear Anal., Real World Appl. 9, 1989-2028 (2008)
    • (2008) Nonlinear Anal., Real World Appl , vol.9 , pp. 1989-2028
    • Kawachi, K.1
  • 12
    • 44749085103 scopus 로고    scopus 로고
    • A rumor transmission model with various contact interactions
    • Kawachi, K, Seki, M, Yoshida, H: A rumor transmission model with various contact interactions. J. Theor. Biol. 253, 55-60 (2008)
    • (2008) J. Theor. Biol , vol.253 , pp. 55-60
    • Kawachi, K.1    Seki, M.2    Yoshida, H.3
  • 13
    • 80052773322 scopus 로고    scopus 로고
    • Limit theorems for a general stochastic rumour model
    • Lebensztayn, E, Machado, FP, Rodríguez, PM: Limit theorems for a general stochastic rumour model. SIAM J. Appl. Math. 71(4), 1476-1486 (2011)
    • (2011) SIAM J. Appl. Math , vol.71 , Issue.4 , pp. 1476-1486
    • Lebensztayn, E.1    Machado, F.P.2    Rodríguez, P.M.3
  • 14
    • 84893713013 scopus 로고    scopus 로고
    • On rumour spreading with skepticism and denial
    • Huang, W: On rumour spreading with skepticism and denial. Working paper (2011)
    • (2011) Working paper
    • Huang, W.1
  • 15
    • 41349109719 scopus 로고    scopus 로고
    • Dynamics of rumor propagation on small world networks
    • Zanette, DH: Dynamics of rumor propagation on small world networks. Phys. Rev. A 65, 041908 (2002)
    • (2002) Phys. Rev. A , vol.65
    • Zanette, D.H.1
  • 16
    • 0035510399 scopus 로고    scopus 로고
    • Critical behavior of propagation on small-world networks
    • Zanette, DH: Critical behavior of propagation on small-world networks. Phys. Rev. A 64, 050901 (2001)
    • (2001) Phys. Rev. A , vol.64
    • Zanette, D.H.1
  • 17
    • 33645158226 scopus 로고    scopus 로고
    • Modelling the dynamics of disaster spreading in networks
    • Buzna, L, Helbing, D: Modelling the dynamics of disaster spreading in networks. Physica A 363, 132-140 (2006)
    • (2006) Physica A , vol.363 , pp. 132-140
    • Buzna, L.1    Helbing, D.2
  • 18
    • 42749098327 scopus 로고    scopus 로고
    • Dynamics of rumor spreading in complex networks
    • Moreno, Y, Nekovee, M, Pacheco, A: Dynamics of rumor spreading in complex networks. Phys. Rev. E 69, 066130 (2004)
    • (2004) Phys. Rev. E , vol.69
    • Moreno, Y.1    Nekovee, M.2    Pacheco, A.3
  • 19
    • 70350746051 scopus 로고    scopus 로고
    • Stochastic epidemics and rumours on finite random networks
    • Isham, V, Harden, S, Nekovee, M: Stochastic epidemics and rumours on finite random networks. Physica A 389, 561-576 (2004)
    • (2004) Physica A , vol.389 , pp. 561-576
    • Isham, V.1    Harden, S.2    Nekovee, M.3
  • 20
    • 79955737654 scopus 로고    scopus 로고
    • Rumor spreading and vertex expansion on regular graphs
    • Sauerwald, T, Stauery, A: Rumor spreading and vertex expansion on regular graphs. In: 22nd ACM-SIAM Symp, pp. 462-475 (2011)
    • (2011) 22nd ACM-SIAM Symp , pp. 462-475
    • Sauerwald, T.1    Stauery, A.2
  • 21
    • 84904979068 scopus 로고    scopus 로고
    • 2SI2R rumor spreading model in homogeneous networks
    • Zhao, L, Wang, J, Huang, R: 2SI2R rumor spreading model in homogeneous networks. Physica A 441, 153-161 (2014)
    • (2014) Physica A , vol.441 , pp. 153-161
    • Zhao, L.1    Wang, J.2    Huang, R.3
  • 22
    • 84891756120 scopus 로고    scopus 로고
    • SIRaRu rumor spreading model in complex networks
    • Zhao, L, Wang, J, Huang, R: SIRaRu rumor spreading model in complex networks. Physica A 398, 43-55 (2014)
    • (2014) Physica A , vol.398 , pp. 43-55
    • Zhao, L.1    Wang, J.2    Huang, R.3
  • 23
    • 0034313015 scopus 로고    scopus 로고
    • Optimal control of deterministic epidemics
    • Behncke, H: Optimal control of deterministic epidemics. Optim. Control Appl. Methods 21, 269-285 (2000)
    • (2000) Optim. Control Appl. Methods , vol.21 , pp. 269-285
    • Behncke, H.1
  • 24
    • 80052793577 scopus 로고    scopus 로고
    • Optimal control of a vector borne disease with horizontal transmission
    • Lashari, AA, Zaman, G: Optimal control of a vector borne disease with horizontal transmission. Nonlinear Anal., Real World Appl. 13, 203-212 (2012)
    • (2012) Nonlinear Anal., Real World Appl , vol.13 , pp. 203-212
    • Lashari, A.A.1    Zaman, G.2
  • 26
    • 84863325044 scopus 로고    scopus 로고
    • Optimal control of computer virus under a delayed model
    • Zhu, Q, Yang, LX, Yang, C: Optimal control of computer virus under a delayed model. Appl. Math. Comput. 218, 11613-11619 (2012)
    • (2012) Appl. Math. Comput , vol.218 , pp. 11613-11619
    • Zhu, Q.1    Yang, L.X.2    Yang, C.3
  • 27
    • 84861028083 scopus 로고    scopus 로고
    • Modeling and parameter estimation of contact processes. PhD thesis
    • Cintrón-Arias, A: Modeling and parameter estimation of contact processes. PhD thesis, Cornell University (2006)
    • (2006) Cornell University
    • Cintrón-Arias, A.1
  • 29
    • 0030544879 scopus 로고    scopus 로고
    • A geometric approach to the global-stability problems
    • Li, MY, Muldowney, JS: A geometric approach to the global-stability problems. SIAM J. Math. Anal. 27, 1070-1083 (1996)
    • (1996) SIAM J. Math. Anal , vol.27 , pp. 1070-1083
    • Li, M.Y.1    Muldowney, J.S.2
  • 30
    • 4644337889 scopus 로고    scopus 로고
    • Global stability in some SEIR epidemic models
    • Li, MY, Wang, L: Global stability in some SEIR epidemic models. IMA 126, 295-311 (2002)
    • (2002) IMA , vol.126 , pp. 295-311
    • Li, M.Y.1    Wang, L.2
  • 31
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • Muldowney, JS: Compound matrices and ordinary differential equations. Rocky Mt. J. Math. 20, 857-872 (1990)
    • (1990) Rocky Mt. J. Math , vol.20 , pp. 857-872
    • Muldowney, J.S.1
  • 32
    • 84968505772 scopus 로고
    • Persistence in dynamical systems
    • Butler, GJ, Waltman, P: Persistence in dynamical systems. Proc. Am. Math. Soc. 96, 425-430 (1986)
    • (1986) Proc. Am. Math. Soc , vol.96 , pp. 425-430
    • Butler, G.J.1    Waltman, P.2
  • 33
    • 84966222841 scopus 로고
    • Uniform persistence and repellors for maps
    • Hofbauer, J, So, J: Uniform persistence and repellors for maps. Proc. Am. Math. Soc. 107, 1137-1142 (1989)
    • (1989) Proc. Am. Math. Soc , vol.107 , pp. 1137-1142
    • Hofbauer, J.1    So, J.2
  • 34
    • 0023967009 scopus 로고
    • Systems of ordinary differential equations which generate an order preserving flow
    • Smith, HL: Systems of ordinary differential equations which generate an order preserving flow. SIAM Rev. 30, 87-113 (1988)
    • (1988) SIAM Rev , vol.30 , pp. 87-113
    • Smith, H.L.1
  • 35
    • 0036631015 scopus 로고    scopus 로고
    • Optimal control of an HIV immunology model
    • Joshi, HR: Optimal control of an HIV immunology model. Optim. Control Appl. Methods 23, 199-213 (2002)
    • (2002) Optim. Control Appl. Methods , vol.23 , pp. 199-213
    • Joshi, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.