메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages

A viral infection model with a nonlinear infection rate

Author keywords

[No Author keywords available]

Indexed keywords


EID: 80052676912     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2009/958016     Document Type: Article
Times cited : (17)

References (31)
  • 1
    • 0004282679 scopus 로고    scopus 로고
    • Oxford, UK Oxford University Press
    • Nowak M. A., May R. M., Virus Dynamics 2000 Oxford, UK Oxford University Press xii+237
    • (2000) Virus Dynamics , pp. 237
    • Nowak, M.A.1    May, R.M.2
  • 2
    • 35248843203 scopus 로고    scopus 로고
    • Propagation of HBV with spatial dependence
    • DOI 10.1016/j.mbs.2007.05.004, PII S0025556407001022
    • Wang K., Wang W., Propagation of HBV with spatial dependence Mathematical Biosciences 2007 210 1 78 95 (Pubitemid 47562489)
    • (2007) Mathematical Biosciences , vol.210 , Issue.1 , pp. 78-95
    • Wang, K.1    Wang, W.2
  • 3
    • 50149116834 scopus 로고    scopus 로고
    • The effects of distributed life cycles on the dynamics of viral infections
    • Campos D., Méndez V., Fedotov S., The effects of distributed life cycles on the dynamics of viral infections Journal of Theoretical Biology 2008 254 2 430 438
    • (2008) Journal of Theoretical Biology , vol.254 , Issue.2 , pp. 430-438
    • Campos, D.1    Méndez, V.2    Fedotov, S.3
  • 5
    • 0033760676 scopus 로고    scopus 로고
    • Persistent virus infection despite chronic cytotoxic T-lymphocyte activation in gamma interferon-deficient mice infected with lymphocytic choriomeningitis virus
    • Bartholdy C., Christensen J. P., Wodarz D., Thomsen A. R., Persistent virus infection despite chronic cytotoxic T-lymphocyte activation in gamma interferon-deficient mice infected with lymphocytic choriomeningitis virus Journal of Virology 2000 74 22 10304 10311
    • (2000) Journal of Virology , vol.74 , Issue.22 , pp. 10304-10311
    • Bartholdy, C.1    Christensen, J.P.2    Wodarz, D.3    Thomsen, A.R.4
  • 6
    • 0031000756 scopus 로고    scopus 로고
    • Human immunodeficiency virus drug therapy and virus load
    • Bonhoeffer S., Coffin J. M., Nowak M. A., Human immunodeficiency virus drug therapy and virus load Journal of Virology 1997 71 4 3275 3278 (Pubitemid 27121567)
    • (1997) Journal of Virology , vol.71 , Issue.4 , pp. 3275-3278
    • Bonhoeffer, S.1    Coffin, J.M.2    Nowak, M.A.3
  • 7
    • 0036533682 scopus 로고    scopus 로고
    • The importance of lytic and nonlytic immune responses in viral infections
    • DOI 10.1016/S1471-4906(02)02189-0, PII S1471490602021890
    • Wodarz D., Christensen J. P., Thomsen A. R., The importance of lytic and nonlytic immune responses in viral infections Trends in Immunology 2002 23 4 194 200 (Pubitemid 34260935)
    • (2002) Trends in Immunology , vol.23 , Issue.4 , pp. 194-200
    • Wodarz, D.1    Christensen, J.P.2    Thomsen, A.R.3
  • 8
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-1 dynamics in vivo
    • PII S0036144598335107
    • Perelson A. S., Nelson P. W., Mathematical analysis of HIV-1 dynamics in vivo SIAM Review 1999 41 1 3 44 (Pubitemid 129723746)
    • (1999) SIAM Review , vol.41 , Issue.1 , pp. 3-44
    • Perelson, A.S.1    Nelson, P.W.2
  • 9
    • 0033952043 scopus 로고    scopus 로고
    • Dose effects and density-dependent regulation of two microparasites of Daphnia magna
    • Ebert D., Zschokke-Rohringer C. D., Carius H. J., Dose effects and density-dependent regulation of two microparasites of Daphnia magna Oecologia 2000 122 2 200 209 (Pubitemid 30096238)
    • (2000) Oecologia , vol.122 , Issue.2 , pp. 200-209
    • Ebert, D.1    Zschokke-Rohringer, C.D.2    Carius, H.J.3
  • 10
    • 0034730047 scopus 로고    scopus 로고
    • Scrapie infections initiated at varying doses: An analysis of 117 titration experiments
    • McLean A. R., Bostock C. J., Scrapie infections initiated at varying doses: an analysis of 117 titration experiments Philosophical Transactions of the Royal Society B 2000 355 1400 1043 1050
    • (2000) Philosophical Transactions of the Royal Society B , vol.355 , Issue.1400 , pp. 1043-1050
    • McLean, A.R.1    Bostock, C.J.2
  • 11
    • 53149149076 scopus 로고    scopus 로고
    • Dose-dependent infection rates of parasites produce the Allee effect in epidemiology
    • DOI 10.1098/rspb.2001.1816
    • Regoes R. R., Ebert D., Bonhoeffer S., Dose-dependent infection rates of parasites produce the Allee effect in epidemiology Proceedings of the Royal Society B 2002 269 1488 271 279 (Pubitemid 34161034)
    • (2002) Education Economics , vol.269 , Issue.1488 , pp. 271-279
    • Regoes, R.R.1    Ebert, D.2    Bonhoeffer, S.3
  • 12
    • 33746833233 scopus 로고    scopus 로고
    • Analysis of a delayed epidemic model with pulse vaccination and saturation incidence
    • DOI 10.1016/j.vaccine.2006.05.018, PII S0264410X06005779
    • Gao S., Chen L., Nieto J. J., Torres A., Analysis of a delayed epidemic model with pulse vaccination and saturation incidence Vaccine 2006 24 35-36 6037 6045 (Pubitemid 44175617)
    • (2006) Vaccine , vol.24 , Issue.35-36 , pp. 6037-6045
    • Gao, S.1    Chen, L.2    Nieto, J.J.3    Torres, A.4
  • 13
    • 0037429355 scopus 로고    scopus 로고
    • Dynamical behavior of an epidemic model with a nonlinear incidence rate
    • DOI 10.1016/S0022-0396(02)00089-X, PII S002203960200089X
    • Ruan S., Wang W., Dynamical behavior of an epidemic model with a nonlinear incidence rate Journal of Differential Equations 2003 188 1 135 163 (Pubitemid 36233149)
    • (2003) Journal of Differential Equations , vol.188 , Issue.1 , pp. 135-163
    • Ruan, S.1    Wang, W.2
  • 14
    • 0034839054 scopus 로고    scopus 로고
    • Global analysis in a predator-prey system with nonmonotonic functional response
    • DOI 10.1137/S0036139999361896, PII S0036139999361896
    • Ruan S., Xiao D., Global analysis in a predator-prey system with nonmonotonic functional response SIAM Journal on Applied Mathematics 2001 61 4 1445 1472 (Pubitemid 32825187)
    • (2001) SIAM Journal on Applied Mathematics , vol.61 , Issue.4 , pp. 1445-1472
    • Ruan, S.1    Xiao, D.2
  • 15
    • 63349096012 scopus 로고    scopus 로고
    • Re-infection-induced backward bifurcation in the transmission dynamics of Chlamydia trachomatis
    • Sharomi O., Gumel A. B., Re-infection-induced backward bifurcation in the transmission dynamics of Chlamydia trachomatis Journal of Mathematical Analysis and Applications 2009 356 1 96 118
    • (2009) Journal of Mathematical Analysis and Applications , vol.356 , Issue.1 , pp. 96-118
    • Sharomi, O.1    Gumel, A.B.2
  • 16
    • 33846877367 scopus 로고    scopus 로고
    • Epidemic models with nonlinear infection forces
    • Wang W., Epidemic models with nonlinear infection forces Mathematical Biosciences and Engineering 2006 3 1 267 279 (Pubitemid 46227044)
    • (2006) Mathematical Biosciences and Engineering , vol.3 , Issue.1 , pp. 267-279
    • Wang, W.1
  • 17
    • 43649101953 scopus 로고    scopus 로고
    • A delayed epidemic model with stage-structure and pulses for pest management strategy
    • DOI 10.1016/j.nonrwa.2007.05.004, PII S1468121807000934
    • Zhang H., Chen L., Nieto J. J., A delayed epidemic model with stage-structure and pulses for pest management strategy Nonlinear Analysis: Real World Applications 2008 9 4 1714 1726 (Pubitemid 351685810)
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.4 , pp. 1714-1726
    • Zhang, H.1    Chen, L.2    Nieto, J.J.3
  • 18
    • 34347272262 scopus 로고    scopus 로고
    • Asymptotic properties of a HIV-1 infection model with time delay
    • Li D., Ma W., Asymptotic properties of a HIV-1 infection model with time delay Journal of Mathematical Analysis and Applications 2007 335 1 683 691
    • (2007) Journal of Mathematical Analysis and Applications , vol.335 , Issue.1 , pp. 683-691
    • Li, D.1    Ma, W.2
  • 20
    • 67349124783 scopus 로고    scopus 로고
    • Analysis of an HIV/AIDS treatment model with a nonlinear incidence
    • Cai L., Wu J., Analysis of an HIV/AIDS treatment model with a nonlinear incidence Chaos, Solitons Fractals 2009 41 1 175 182
    • (2009) Chaos, Solitons Fractals , vol.41 , Issue.1 , pp. 175-182
    • Cai, L.1    Wu, J.2
  • 21
    • 36949038244 scopus 로고    scopus 로고
    • Permanence and periodic solution of predator-prey system with Holling type functional response and impulses
    • Wang W., Shen J., Nieto J. J., Permanence and periodic solution of predator-prey system with Holling type functional response and impulses Discrete Dynamics in Nature and Society 2007 2007 15
    • (2007) Discrete Dynamics in Nature and Society , vol.2007 , pp. 15
    • Wang, W.1    Shen, J.2    Nieto, J.J.3
  • 22
    • 34249022093 scopus 로고    scopus 로고
    • + T cells
    • DOI 10.1016/j.amc.2006.12.044, PII S009630030601719X
    • Wang X., Song X., Global stability and periodic solution of a model for HIV infection of CD4+ T cells Applied Mathematics and Computation 2007 189 2 1331 1340 (Pubitemid 46802749)
    • (2007) Applied Mathematics and Computation , vol.189 , Issue.2 , pp. 1331-1340
    • Wang, X.1    Song, X.2
  • 23
    • 58149496553 scopus 로고    scopus 로고
    • Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls
    • Yang J., Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls Discrete Dynamics in Nature and Society 2008 2008 19
    • (2008) Discrete Dynamics in Nature and Society , vol.2008 , pp. 19
    • Yang, J.1
  • 24
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • DOI 10.1016/S0025-5564(02)00108-6, PII S0025556402001086
    • van den Driessche P., Watmough J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Mathematical Biosciences 2002 180 29 48 (Pubitemid 35304346)
    • (2002) Mathematical Biosciences , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 25
    • 0003698819 scopus 로고    scopus 로고
    • 2nd New York, NY, USA Springer Texts in Applied Mathematics
    • Perko L., Differential Equations and Dynamical Systems 1996 7 2nd New York, NY, USA Springer xiv+519 Texts in Applied Mathematics
    • (1996) Differential Equations and Dynamical Systems , vol.7 , pp. 519
    • Perko, L.1
  • 26
    • 0001641821 scopus 로고
    • Bifurcations of a limit cycle for a family of vector fields on the plan
    • Bogdanov R., Bifurcations of a limit cycle for a family of vector fields on the plan Selecta Mathematica Sovietica 1981 1 373 388
    • (1981) Selecta Mathematica Sovietica , vol.1 , pp. 373-388
    • Bogdanov, R.1
  • 27
    • 0002549474 scopus 로고
    • Versal deformations of a singular point on the plan in the case of zero eigenvalues
    • Bogdanov R., Versal deformations of a singular point on the plan in the case of zero eigenvalues Selecta Mathematica Sovietica 1981 1 389 421
    • (1981) Selecta Mathematica Sovietica , vol.1 , pp. 389-421
    • Bogdanov, R.1
  • 29
    • 0033754709 scopus 로고    scopus 로고
    • No significant correlation exists between core promoter mutations, viral replication, and liver damage in chronic hepatitis B infection
    • Chun Y. K., Kim J. Y., Woo H. J., No significant correlation exists between core promoter mutations, viral replication, and liver damage in chronic hepatitis B infection Hepatology 2000 32 5 1154 1162
    • (2000) Hepatology , vol.32 , Issue.5 , pp. 1154-1162
    • Chun, Y.K.1    Kim, J.Y.2    Woo, H.J.3
  • 30
    • 5044245608 scopus 로고    scopus 로고
    • Dynamic determination and analysis of serum virus load in patients with chronic HBV infection
    • Deng G.-H., Wang Z.-L., Wang Y.-M., Wang K.-F., Fan Y., Dynamic determination and analysis of serum virus load in patients with chronic HBV infection World Chinese Journal of Digestology 2004 12 4 862 865 (Pubitemid 39341167)
    • (2004) World Chinese Journal of Digestology , vol.12 , Issue.4 , pp. 862-865
    • Deng, G.-H.1    Wang, Z.-L.2    Wang, Y.-M.3    Wang, K.-F.4    Fan, Y.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.