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Volumn 16, Issue 3, 2011, Pages 283-314

Feedback linearization-based vaccination control strategies for true-mass action type SEIR epidemic models

Author keywords

Control; Epidemic models; Positivity; SEIR epidemic models; Stability

Indexed keywords


EID: 80053030539     PISSN: 13925113     EISSN: 23358963     Source Type: Journal    
DOI: 10.15388/na.16.3.14094     Document Type: Article
Times cited : (32)

References (29)
  • 1
    • 42949109680 scopus 로고    scopus 로고
    • A Control theory point of view on Beverton-Holt equation in population dynamics and some of its generalizations
    • M. De la Sen, S. Alonso-Quesada, A Control theory point of view on Beverton-Holt equation in population dynamics and some of its generalizations, Appl. Math. Comput., 199(2), pp. 464-481, 2008.
    • (2008) Appl. Math. Comput , vol.199 , Issue.2 , pp. 464-481
    • de la Sen, M.1    Alonso-Quesada, S.2
  • 2
    • 70449534883 scopus 로고    scopus 로고
    • Control issues for the Beverton-Holt equation in population in ecology by locally monitoring the environment carrying capacity: Non-adaptive and adaptive cases
    • M. De la Sen, S. Alonso-Quesada, Control issues for the Beverton-Holt equation in population in ecology by locally monitoring the environment carrying capacity: Non-adaptive and adaptive cases, Appl. Math. Comput., 215(7), pp. 2616-2633, 2009.
    • (2009) Appl. Math. Comput , vol.215 , Issue.7 , pp. 2616-2633
    • de la Sen, M.1    Alonso-Quesada, S.2
  • 3
    • 41949142364 scopus 로고    scopus 로고
    • Model-matching-based control of the Beverton-Holt equation in ecology
    • Article ID 793512, 2008, doi:10.1155/2008/793512
    • M. De la Sen, S. Alonso-Quesada, Model-matching-based control of the Beverton-Holt equation in ecology, Discrete Dyn. Nat. Soc., 2008, Article ID 793512, 2008, doi:10.1155/2008/793512.
    • (2008) Discrete Dyn. Nat. Soc
    • de la Sen, M.1    Alonso-Quesada, S.2
  • 4
    • 50849124426 scopus 로고    scopus 로고
    • About the properties of a modified generalized Beveron-Holt equation in ecology models
    • Article ID 592950, 2008, doi:10.1155/2008/592950
    • M. De la Sen, About the properties of a modified generalized Beveron-Holt equation in ecology models, Discrete Dyn. Nat. Soc., 2008, Article ID 592950, 2008, doi:10.1155/2008/592950.
    • (2008) Discrete Dyn. Nat. Soc
    • de la Sen, M.1
  • 5
    • 47249109916 scopus 로고    scopus 로고
    • The generalized Beverton-Holt equation and the control of populations
    • M. De la Sen, The generalized Beverton-Holt equation and the control of populations, Appl. Math. Model., 32(11), pp. 2312-2328, 2008.
    • (2008) Appl. Math. Model , vol.32 , Issue.11 , pp. 2312-2328
    • de la Sen, M.1
  • 8
    • 72149112479 scopus 로고    scopus 로고
    • Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method
    • A. Yildirim, Y. Cherruault, Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method, Kybernetes, 38(9), pp. 1566-1575, 2009.
    • (2009) Kybernetes , vol.38 , Issue.9 , pp. 1566-1575
    • Yildirim, A.1    Cherruault, Y.2
  • 9
    • 51349139976 scopus 로고    scopus 로고
    • Solutions to the problem of prey and predator and the epidemic model via differential transform method
    • V.S. Erturk, S. Momani, Solutions to the problem of prey and predator and the epidemic model via differential transform method, Kybernetes, 37(8), pp. 1180-1188, 2008.
    • (2008) Kybernetes , vol.37 , Issue.8 , pp. 1180-1188
    • Erturk, V.S.1    Momani, S.2
  • 10
    • 0037266709 scopus 로고    scopus 로고
    • Fuzzy gradual rules in epidemiology
    • N. Ortega, L.C. Barros, E. Massad, Fuzzy gradual rules in epidemiology, Kybernetes, 32(3-4), pp. 460-477, 2003.
    • (2003) Kybernetes , vol.32 , Issue.3-4 , pp. 460-477
    • Ortega, N.1    Barros, L.C.2    Massad, E.3
  • 11
    • 68949150809 scopus 로고    scopus 로고
    • The explicit series solution of SIR and SIS epidemic models
    • H. Khan, R.N. Mohapatra, K. Varajvelu, S.J. Liao, The explicit series solution of SIR and SIS epidemic models, Appl. Math. Comput., 215(2), pp. 653-669, 2009.
    • (2009) Appl. Math. Comput , vol.215 , Issue.2 , pp. 653-669
    • Khan, H.1    Mohapatra, R.N.2    Varajvelu, K.3    Liao, S.J.4
  • 12
    • 67649224128 scopus 로고    scopus 로고
    • Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays
    • X.Y. Song, Y. Jiang, H.M. Wei, Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays, Appl. Math. Comput., 214(2), pp. 381-390, 2009.
    • (2009) Appl. Math. Comput , vol.214 , Issue.2 , pp. 381-390
    • Song, X.Y.1    Jiang, Y.2    Wei, H.M.3
  • 13
    • 67649210286 scopus 로고    scopus 로고
    • Dynamic behaviour for a nonautonomous SIRS epidemic model with distributed delays
    • T.L. Zhang, J.L. Liu, Z.D. Teng, Dynamic behaviour for a nonautonomous SIRS epidemic model with distributed delays, Appl. Math. Comput., 214(2), pp. 624-631, 2009.
    • (2009) Appl. Math. Comput , vol.214 , Issue.2 , pp. 624-631
    • Zhang, T.L.1    Liu, J.L.2    Teng, Z.D.3
  • 14
    • 34848843779 scopus 로고    scopus 로고
    • Existence of epidemic waves in a disease transmission model with two-habitat population
    • B. Mukhopadhyay, R. Bhattacharyya, Existence of epidemic waves in a disease transmission model with two-habitat population, Int. J. Syst. Sci., 38(9), pp. 699-707, 2007.
    • (2007) Int. J. Syst. Sci , vol.38 , Issue.9 , pp. 699-707
    • Mukhopadhyay, B.1    Bhattacharyya, R.2
  • 15
    • 72149120291 scopus 로고    scopus 로고
    • On excitable dynamic systems with delays
    • M. De la Sen, On excitable dynamic systems with delays, Kybernetes, 38(9), pp. 1576-1598, 2009.
    • (2009) Kybernetes , vol.38 , Issue.9 , pp. 1576-1598
    • de la Sen, M.1
  • 16
    • 34249808822 scopus 로고    scopus 로고
    • On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays
    • M. De la Sen, On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays, Appl. Math. Comput., 190(1), pp. 382-401, 2007.
    • (2007) Appl. Math. Comput , vol.190 , Issue.1 , pp. 382-401
    • de la Sen, M.1
  • 17
    • 80053004779 scopus 로고    scopus 로고
    • Stability and Control, Springer-Verlag
    • S. Sastry, Nonlinear Systems: Analysis, Stability and Control, Springer-Verlag, 1999.
    • (1999) Analysis
    • Sastry, S.1    Systems, N.2
  • 19
    • 38649118468 scopus 로고    scopus 로고
    • Feedback-linearization and feedback-feedforward decentralized control for multipower system
    • E. De Tuglie, S.M. Iannone, F. Torelli, Feedback-linearization and feedback-feedforward decentralized control for multipower system, Electric Pow. Sys. Res., 78(3), pp. 382-391, 2008.
    • (2008) Electric Pow. Sys. Res , vol.78 , Issue.3 , pp. 382-391
    • de Tuglie, E.1    Iannone, S.M.2    Torelli, F.3
  • 20
    • 78049294594 scopus 로고    scopus 로고
    • Adaptive feedback linearizing control of nonholonomic wheeled mobile robots in presence of parametric and nonparametric uncertainties
    • K. Shojaei, A.M. Shahri, A. Tarakameh, Adaptive feedback linearizing control of nonholonomic wheeled mobile robots in presence of parametric and nonparametric uncertainties, Robotics and Computer-Integrated Manufacturing, 27(1), pp. 194-204, 2011.
    • (2011) Robotics and Computer-Integrated Manufacturing , vol.27 , Issue.1 , pp. 194-204
    • Shojaei, K.1    Shahri, A.M.2    Tarakameh, A.3
  • 21
    • 79953280211 scopus 로고    scopus 로고
    • On a generalized timevarying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive controls
    • Article ID 281612, 2010, doi:10.1155/2010/281612
    • M. De la Sen, R.P. Agarwal, A. Ibeas, S. Alonso-Quesada, On a generalized timevarying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive controls, Adv. Differ. Equ., 2010, Article ID 281612, 2010, doi:10.1155/2010/281612.
    • (2010) Adv. Differ. Equ
    • de la Sen, M.1    Agarwal, R.P.2    Ibeas, A.3    Alonso-Quesada, S.4
  • 23
    • 79959257841 scopus 로고    scopus 로고
    • On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination
    • Article ID 748608, 2011, doi:10.1155/2011/748608
    • M. De la Sen, R.P. Agarwal, A. Ibeas, S. Alonso-Quesada, On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination, Adv. Differ. Equ., 2011, Article ID 748608, 2011, doi:10.1155/2011/748608.
    • (2011) Adv. Differ. Equ
    • de la Sen, M.1    Agarwal, R.P.2    Ibeas, A.3    Alonso-Quesada, S.4
  • 25
    • 78751634246 scopus 로고    scopus 로고
    • Analysis of a vaccination model for carrier dependent infectious diseases with environmental effects
    • R. Naresh, S. Pandey, A.K. Misra, Analysis of a vaccination model for carrier dependent infectious diseases with environmental effects, Nonlinear Anal. Model. Control, 13(3), pp. 331-350, 2008.
    • (2008) Nonlinear Anal. Model. Control , vol.13 , Issue.3 , pp. 331-350
    • Naresh, R.1    Pandey, S.2    Misra, A.K.3
  • 26
    • 77949379391 scopus 로고    scopus 로고
    • Analysis of a delay nonautonomous predator-prey system with disease in the prey
    • G.P. Samanta, Analysis of a delay nonautonomous predator-prey system with disease in the prey, Nonlinear Anal. Model. Control, 15(1), pp. 97-108, 2010.
    • (2010) Nonlinear Anal. Model. Control , vol.15 , Issue.1 , pp. 97-108
    • Samanta, G.P.1
  • 28
    • 78649953589 scopus 로고    scopus 로고
    • Stability analysis of an eco-epidemiological model incorporating a prey refuge
    • A.K. Pal, G.P. Samanta, Stability analysis of an eco-epidemiological model incorporating a prey refuge, Nonlinear Anal. Model. Control, 15(4), pp. 473-491, 2010.
    • (2010) Nonlinear Anal. Model. Control , vol.15 , Issue.4 , pp. 473-491
    • Pal, A.K.1    Samanta, G.P.2
  • 29
    • 79952355338 scopus 로고    scopus 로고
    • On the backward bifurcation of a vaccination model with nonlinear incidence
    • B. Buonomo, D. Lacitignola, On the backward bifurcation of a vaccination model with nonlinear incidence, Nonlinear Anal. Model. Control, 16(1), pp. 30-46, 2011.
    • (2011) Nonlinear Anal. Model. Control , vol.16 , Issue.1 , pp. 30-46
    • Buonomo, B.1    Lacitignola, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.