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Volumn 22, Issue 3, 2011, Pages 339-370

On the equilibrium points, boundedness and positivity of a Sveirs epidemic model under constant regular constrained vaccination

Author keywords

epidemic models; equilibrium points; positivity; SEIRS epidemic models; SVEIRS epidemic models; vaccination control

Indexed keywords


EID: 80055079558     PISSN: 08684952     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (42)
  • 1
    • 73049118001 scopus 로고    scopus 로고
    • Delay-dependent stability of reset systems
    • Barreiro, A., Banos, A. (2010). Delay-dependent stability of reset systems. Automatica, 46(1), 216-221.
    • (2009) Automatica , vol.46 , Issue.1 , pp. 216-221
    • Barreiro, A.1    Banos, A.2
  • 2
    • 77955387921 scopus 로고    scopus 로고
    • Solutions of linear impulsive differential systems bounded on the entire real axis
    • Article number 494379
    • Boichuk, A., Langerov'a, M., Skorkov'a, J. (2010). Solutions of linear impulsive differential systems bounded on the entire real axis. Advances in Difference Equations, Article number 494379.
    • (2009) Advances in Difference Equations
    • Boichuk, A.1    Langerov'a, M.2    Skorkov'a, J.3
  • 3
    • 79954516506 scopus 로고    scopus 로고
    • From multiblock partial least squares to multiblock redundancy analysis. A continuum approach
    • Bougeard, S., Qannari, E.M., Lupo, C., Hanafi, M. (2011). From multiblock partial least squares to multiblock redundancy analysis. A continuum approach. Informatica, 22(1), 11-26.
    • (2011) Informatica , vol.22 , Issue.1 , pp. 11-26
    • Bougeard, S.1    Qannari, E.M.2    Lupo, C.3    Hanafi, M.4
  • 4
    • 0007160306 scopus 로고    scopus 로고
    • Epidemic modelling: An introduction
    • Cambridge University Press, New York
    • Daley, D.J., Gani, J. (2005). Epidemic Modelling: An Introduction. Studies in Mathematical Biology, Vol. 15, Cambridge University Press, New York.
    • (2005) Studies in Mathematical Biology , vol.15
    • Daley, D.J.1    Gani, J.2
  • 5
    • 79954564973 scopus 로고    scopus 로고
    • Hiv evolution: A quantification of the effects due to age and medical progress
    • D'Amico, G., Di Biase, G., Janssen, J., Manca, R. (2011). Hiv evolution: A quantification of the effects due to age and medical progress. Informatica, 22(1), 27-42.
    • (2011) Informatica , vol.22 , Issue.1 , pp. 27-42
    • D'Amico, G.1    Di Biase, G.2    Janssen, J.3    Manca, R.4
  • 7
    • 0345060341 scopus 로고    scopus 로고
    • Absolute stability of single-input single-output systems with constant internal point delays
    • De la Sen, M. (2003). Absolute stability of single-input single-output systems with constant internal point delays. Informatica, 15(3), 357-374.
    • (2003) Informatica , vol.15 , Issue.3 , pp. 357-374
    • De La Sen, M.1
  • 8
    • 33845602228 scopus 로고    scopus 로고
    • A note about the total stability of a class of hybrid systems
    • De la Sen, M. (2006). A note about the total stability of a class of hybrid systems. Informatica, 17(4), 565-576.
    • (2006) Informatica , vol.17 , Issue.4 , pp. 565-576
    • De La Sen, M.1
  • 9
    • 33846926285 scopus 로고    scopus 로고
    • Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays
    • De la Sen, M. (2007a). Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays. Applied Mathematics and Computation, 185(1), 508-526.
    • (2007) Applied Mathematics and Computation , vol.185 , Issue.1 , pp. 508-526
    • De La Sen, M.1
  • 10
    • 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
    • De la Sen, M. (2007b). On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays. Applied Mathematics and Computation, 190(12), 382-401.
    • (2007) Applied Mathematics and Computation , vol.190 , Issue.12 , pp. 382-401
    • De La Sen, M.1
  • 11
    • 50849124426 scopus 로고    scopus 로고
    • About the properties of a modified generalized Beverton-Holt equation in ecology models
    • Article number 592950
    • De la Sen, M. (2008a). About the properties of a modified generalized Beverton-Holt equation in ecology models. Discrete Dynamics in Nature and Society, Article number 592950.
    • (2008) Discrete Dynamics in Nature and Society
    • De La Sen, M.1
  • 12
    • 47249109916 scopus 로고    scopus 로고
    • The generalized Beverton-Holt equation and the control of populations
    • De la Sen, M. (2008b). The generalized Beverton-Holt equation and the control of populations. Applied Mathematical Modelling, 32(11), 2312-2328.
    • (2008) Applied Mathematical Modelling , vol.32 , Issue.11 , pp. 2312-2328
    • De La Sen, M.1
  • 13
    • 42949109680 scopus 로고    scopus 로고
    • A control theory point of view on Beverton-Holt equation in population dynamics and some of its generalizations
    • De la Sen, M., Alonso-Quesada, S. (2008b). A control theory point of view on Beverton-Holt equation in population dynamics and some of its generalizations. Applied Mathematics and Computation, 199(2), 464-481.
    • (2008) Applied Mathematics and Computation , vol.199 , Issue.2 , pp. 464-481
    • De La Sen, M.1    Alonso-Quesada, S.2
  • 14
    • 41949142364 scopus 로고    scopus 로고
    • Model-matching-based control of the Beverton-Holt equation in ecology
    • Article number 793512
    • De la Sen, M., Alonso-Quesada, S. (2008c). Model-matching-based control of the Beverton-Holt equation in ecology. Discrete Dynamics in Nature and Society, Article number 793512.
    • (2008) Discrete Dynamics in Nature and Society
    • De La Sen, M.1    Alonso-Quesada, S.2
  • 15
    • 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
    • De la Sen, M., Alonso-Quesada, S. (2009). Control issues for the Beverton-Holt equation in population in ecology by locally monitoring the environment carrying capacity: non-adaptive and adaptive cases. Applied Mathematics and Computation, 215(7), 2616-2633.
    • (2009) Applied Mathematics and Computation , vol.215 , Issue.7 , pp. 2616-2633
    • De La Sen, M.1    Alonso-Quesada, S.2
  • 17
    • 1642519782 scopus 로고    scopus 로고
    • On the uniform exponential stability of a wide class of linear time-delay systems
    • De la Sen, M., Luo, N.S. (2004). On the uniform exponential stability of a wide class of linear time-delay systems, Journal of Mathematical Analysis and Applications, 289(2), 456-476.
    • (2004) Journal of Mathematical Analysis and Applications , vol.289 , Issue.2 , pp. 456-476
    • De La Sen, M.1    Luo, N.S.2
  • 18
    • 79953280211 scopus 로고    scopus 로고
    • On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls
    • Article ID 281612. doi:10.1155/2010/281612
    • De la Sen, M., Agarwal, R.P., Ibeas, I., Alonso-Quesada, S. (2010b). On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls. Advances in Difference Equations, Article ID 281612. doi:10.1155/2010/281612.
    • (2010) Advances in Difference Equations
    • De La Sen, M.1    Agarwal, R.P.2    Ibeas, I.3    Alonso-Quesada, S.4
  • 19
    • 79954466189 scopus 로고    scopus 로고
    • Large-scale analysis using heuristic methods
    • Dzemyda, G., Sakalauskas, L. (2011). Large-scale analysis using heuristic methods. Informatica, 22(1), 1-10.
    • (2011) Informatica , vol.22 , Issue.1 , pp. 1-10
    • Dzemyda, G.1    Sakalauskas, L.2
  • 20
    • 51349139976 scopus 로고    scopus 로고
    • Solutions to the problem of prey and predator and the epidemic model via differential transform method
    • Erturk, V.S., Momani, S. (2008). Solutions to the problem of prey and predator and the epidemic model via differential transform method. Kybernetes, 37(8), 1180-1188.
    • (2008) Kybernetes , vol.37 , Issue.8 , pp. 1180-1188
    • Erturk, V.S.1    Momani, S.2
  • 21
    • 44649122225 scopus 로고    scopus 로고
    • The effects of pulse vaccination on SEIR model with two time delays
    • Gao, S., Teng, Z., Xie, D. (2008). The effects of pulse vaccination on SEIR model with two time delays. Applied Mathematics and Computation, 201(1-2), 282-292.
    • (2008) Applied Mathematics and Computation , vol.201 , Issue.1-2 , pp. 282-292
    • Gao, S.1    Teng, Z.2    Xie, D.3
  • 22
    • 4344716963 scopus 로고    scopus 로고
    • Representations of multi-model based controllers by using artificial intelligence tools
    • Ibeas, A., De la Sen, M. (2004), Representations of multi-model based controllers by using artificial intelligence tools. Informatica, 15(3), 337-362.
    • (2004) Informatica , vol.15 , Issue.3 , pp. 337-362
    • Ibeas, A.1    De La Sen, M.2
  • 23
    • 65649087936 scopus 로고    scopus 로고
    • Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence
    • Jiang, Y., Huiming, Y.W., Song, X., Mei, L. Su, G., Qiu, S. (2009). Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Applied Mathematics and Computation, 213(2), 312-321.
    • (2009) Applied Mathematics and Computation , vol.213 , Issue.2 , pp. 312-321
    • Jiang, Y.1    Huiming, Y.W.2    Song, X.3    Mei, L.4    Su, G.5    Qiu, S.6
  • 25
    • 84867960899 scopus 로고    scopus 로고
    • An epidemic model with a time-delay transmission
    • Khan, Q.J.A., Krishnan, E.V. (2003). An epidemic model with a time-delay transmission. Applications of Mathematics, 48(3), 193-203.
    • (2003) Applications of Mathematics , vol.48 , Issue.3 , pp. 193-203
    • Khan, Q.J.A.1    Krishnan, E.V.2
  • 29
    • 77949294319 scopus 로고    scopus 로고
    • Representation of solutions of control hybrid differential-difference impulse systems
    • Marchenko, V.M., Zaczkiewicz, Z. (2009a). Representation of solutions of control hybrid differential-difference impulse systems. Differential Equations, 45(12), 1811-1822.
    • (2009) Differential Equations , vol.45 , Issue.12 , pp. 1811-1822
    • Marchenko, V.M.1    Zaczkiewicz, Z.2
  • 30
    • 67650479175 scopus 로고    scopus 로고
    • On the stability of hybrid difference-differential systems
    • Marchenko, V.M., Loiseau, J.J. (2009b). On the stability of hybrid difference-differential systems, Differential Equations, 45(5), 743-756.
    • (2009) Differential Equations , vol.45 , Issue.5 , pp. 743-756
    • Marchenko, V.M.1    Loiseau, J.J.2
  • 31
    • 0004029334 scopus 로고    scopus 로고
    • Publications of the Newton Institute Cambridge University Press, Cambridge 1995, Denis Mollison Editor (transferred to digital printing 2003
    • Mollison, D. (Ed.) (2003). Epidemic Models: Their Structure and Relation to Data. Publications of the Newton, Institute, Cambridge University Press, Cambridge, 1995, Denis Mollison Editor (transferred to digital printing 2003).
    • (2003) Epidemic Models: Their Structure and Relation to Data
    • Mollison, D.1
  • 32
    • 34848843779 scopus 로고    scopus 로고
    • Existence of epidemic waves in a disease transmission model with two-habitat population
    • Mukhopadhyay, B., Bhattacharyya, R. (2007). Existence of epidemic waves in a disease transmission model with two-habitat population. International Journal of Systems Science, 38(9) 699-707.
    • (2007) International Journal of Systems Science , vol.38 , Issue.9 , pp. 699-707
    • Mukhopadhyay, B.1    Bhattacharyya, R.2
  • 33
    • 77951491287 scopus 로고    scopus 로고
    • On exact controllability of first-order impulsive differential equations
    • Article number 136504
    • Nieto, J.J., Tisdell, C.C. (2010). On exact controllability of first-order impulsive differential equations. Advances in Difference Equations, Article number 136504.
    • (2009) Advances in Difference Equations
    • Nieto, J.J.1    Tisdell, C.C.2
  • 34
    • 0037266709 scopus 로고    scopus 로고
    • Fuzzy gradual rules in epidemiology
    • Ortega, N., Barros, L.C., Massad, E. (2003). Fuzzy gradual rules in epidemiology. Kybernetes, 32(3-4), 460-477.
    • (2003) Kybernetes , vol.32 , Issue.3-4 , pp. 460-477
    • Ortega, N.1    Barros, L.C.2    Massad, E.3
  • 35
    • 33748177345 scopus 로고    scopus 로고
    • Vaccination policies for chaos reduction in childhood epidemics
    • Piccardi, C., Lazzaris, S. (1998). Vaccination policies for chaos reduction in childhood epidemics. IEEE Transactions on Biomedical Engineering, 45(5), 591-595.
    • (1998) IEEE Transactions on Biomedical Engineering , vol.45 , Issue.5 , pp. 591-595
    • Piccardi, C.1    Lazzaris, S.2
  • 36
    • 77949793154 scopus 로고    scopus 로고
    • On a time-varying parameter adaptive self-organizing system in the presence of large outliers in observations
    • Pupeikis, R. (2010). On a time-varying parameter adaptive self-organizing system in the presence of large outliers in observations. Informatica, 21(1), 79-94.
    • (2009) Informatica , vol.21 , Issue.1 , pp. 79-94
    • Pupeikis, R.1
  • 37
    • 67649224128 scopus 로고    scopus 로고
    • Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays
    • Song, X., Jiang, Y.,Wei, H. (2009). Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Applied Mathematics and Computation, 214(2), 381-390.
    • (2009) Applied Mathematics and Computation , vol.214 , Issue.2 , pp. 381-390
    • Song, X.1    Jiang, Y.2    Wei, H.3
  • 38
    • 72149112479 scopus 로고    scopus 로고
    • Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method
    • Yildirim, A., Cherruault, Y. (2009). Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method. Kybernetes, 38(9), 1566-1575.
    • (2009) Kybernetes , vol.38 , Issue.9 , pp. 1566-1575
    • Yildirim, A.1    Cherruault, Y.2
  • 39
    • 77953229337 scopus 로고    scopus 로고
    • Species permanence and dynamical behaviour analysis of an impulsively controlled ecological system with distributed time delay
    • Yu, H.G., Zhong, S.M., Agarwal, R.P., Xiong, L.L. (2010). Species permanence and dynamical behaviour analysis of an impulsively controlled ecological system with distributed time delay. Computers & Mathematics with Applications, 59(2), 3824-3835.
    • (2009) Computers & Mathematics with Applications , vol.59 , Issue.2 , pp. 3824-3835
    • Yu, H.G.1    Zhong, S.M.2    Agarwal, R.P.3    Xiong, L.L.4
  • 40
    • 58049151187 scopus 로고    scopus 로고
    • Dynamic behavior of a delayed impulsive SEIRS model in epidemiology
    • Zhang, T.L., Teng, Z.D. (2008). Dynamic behavior of a delayed impulsive SEIRS model in epidemiology. Rocky Mountain Journal of Mathematics, 38(5), 1841-1862.
    • (2008) Rocky Mountain Journal of Mathematics , vol.38 , Issue.5 , pp. 1841-1862
    • Zhang, T.L.1    Teng, Z.D.2
  • 41
    • 67649210286 scopus 로고    scopus 로고
    • Dynamic behaviour for a nonautonomous SIRS epidemic model with distributed delays
    • Zhang, T.L., Liu, J.L., Teng, Z.D. (2009). Dynamic behaviour for a nonautonomous SIRS epidemic model with distributed delays. Applied Mathematics and Computation, 214(2), 624-631.
    • (2009) Applied Mathematics and Computation , vol.214 , Issue.2 , pp. 624-631
    • Zhang, T.L.1    Liu, J.L.2    Teng, Z.D.3
  • 42
    • 77954804049 scopus 로고    scopus 로고
    • Parameters estimation in modelling of gas-gap in RBMK type reactor using Bayesian approach
    • Zutautaite-Seputiene, I., Augutis, J., Telksnys, T. (2010). Parameters estimation in modelling of gas-gap in RBMK type reactor using Bayesian approach. Informatica, 21(2), 295-306.
    • (2009) Informatica , vol.21 , Issue.2 , pp. 295-306
    • Zutautaite-Seputiene, I.1    Augutis, J.2    Telksnys, T.3


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