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Volumn 15, Issue 1, 2014, Pages 118-139

Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response

Author keywords

[No Author keywords available]

Indexed keywords

BASIC REPRODUCTION NUMBER; BOUNDED DOMAIN; CHARACTERISTIC EQUATION; GLOBAL STABILITY; LOCAL STABILITY; LYAPUNOV FUNCTIONALS; TRAVELING WAVE SOLUTION; WELLPOSEDNESS;

EID: 84885320086     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2013.06.005     Document Type: Conference Paper
Times cited : (87)

References (38)
  • 1
    • 77955746205 scopus 로고    scopus 로고
    • Global properties of a class of HIV models
    • A.M. Elaiw Global properties of a class of HIV models Nonlinear Anal. Real World Appl. 11 2010 2253 2263
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 2253-2263
    • Elaiw, A.M.1
  • 4
    • 77954622136 scopus 로고    scopus 로고
    • A mathematical model of HIV infection: Simulating T4, T8, macrophages, antiboby, and virus via specific anti-HIV response in the presence of adaptation and tropism
    • F.W. Robbins A mathematical model of HIV infection: simulating T4, T8, macrophages, antiboby, and virus via specific anti-HIV response in the presence of adaptation and tropism Bull. Math. Biol. 72 2010 1208 1253
    • (2010) Bull. Math. Biol. , vol.72 , pp. 1208-1253
    • Robbins, F.W.1
  • 5
    • 77955747979 scopus 로고    scopus 로고
    • Global properties of an improved hepatitis B virus model
    • K. Wang, A. Fan, and A. Forres Global properties of an improved hepatitis B virus model Nonlinear Anal. Real World Appl. 11 2010 3131 3138
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 3131-3138
    • Wang, K.1    Fan, A.2    Forres, A.3
  • 7
    • 0019451351 scopus 로고
    • Hepatocellular carcinoma and hepatitis B virus
    • R.P. Beasley, and C.C. Lin Hepatocellular carcinoma and hepatitis B virus Lancet 2 1981 1129 1133
    • (1981) Lancet , vol.2 , pp. 1129-1133
    • Beasley, R.P.1    Lin, C.C.2
  • 9
    • 0029994971 scopus 로고    scopus 로고
    • Viral dynamics in hepatitis B virus infection
    • M.A. Nowak, and S. Bonhoeffer Viral dynamics in hepatitis B virus infection Proc. Natl. Acad. Sci. USA 93 1996 4398 4402
    • (1996) Proc. Natl. Acad. Sci. USA , vol.93 , pp. 4398-4402
    • Nowak, M.A.1    Bonhoeffer, S.2
  • 10
    • 0036629793 scopus 로고    scopus 로고
    • Dynamics of hepatitis B virus infection
    • R.M. Ribeiro, and A. Lo Dynamics of hepatitis B virus infection Microb. Infect 4 2002 829 835
    • (2002) Microb. Infect , vol.4 , pp. 829-835
    • Ribeiro, R.M.1    Lo, A.2
  • 11
    • 0029957041 scopus 로고    scopus 로고
    • Viral dynamics in vivo: Limitations on estimates of intracellular delay and virus decay
    • A.V.M. Herz, and S. Bonhoeffer Viral dynamics in vivo: limitations on estimates of intracellular delay and virus decay Proc. Natl. Acad. Sci. USA 93 1996 7247 7251
    • (1996) Proc. Natl. Acad. Sci. USA , vol.93 , pp. 7247-7251
    • Herz, A.V.M.1    Bonhoeffer, S.2
  • 12
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-i dynamics in vivo
    • A.S. Perelson, and P.W. Nelson Mathematical analysis of HIV-i dynamics in vivo SIAM Rev. 41 1999 3 44
    • (1999) SIAM Rev. , vol.41 , pp. 3-44
    • Perelson, A.S.1    Nelson, P.W.2
  • 13
    • 84885301785 scopus 로고    scopus 로고
    • World Heath Organization, Hepatitis B: Fact sheet: No. 204, 2012. Available at: (accessed 7 July 2012)
    • World Heath Organization, Hepatitis B: Fact sheet: No. 204, 2012. Available at: http://www.who.int/mediacentre/factsheets/fs204/en/ (accessed 7 July 2012).
  • 14
    • 35248843203 scopus 로고    scopus 로고
    • Propagation of HBV with spatial dependence
    • K. Wang, and W. Wang Propagation of HBV with spatial dependence Math. Biosci. 210 2007 78 95
    • (2007) Math. Biosci. , vol.210 , pp. 78-95
    • Wang, K.1    Wang, W.2
  • 16
    • 44749094468 scopus 로고    scopus 로고
    • Dynamics of an HBV model with diffusion and delay
    • K. Wang, W. Wang, and S. Song Dynamics of an HBV model with diffusion and delay J. Theoret. Biol. 253 2008 36 44
    • (2008) J. Theoret. Biol. , vol.253 , pp. 36-44
    • Wang, K.1    Wang, W.2    Song, S.3
  • 17
    • 77955124495 scopus 로고    scopus 로고
    • Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay
    • Q. Gan, R. Xu, and P. Yang Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay IMA J. Appl. Math. 75 2010 392 417
    • (2010) IMA J. Appl. Math. , vol.75 , pp. 392-417
    • Gan, Q.1    Xu, R.2    Yang, P.3
  • 18
    • 61449085429 scopus 로고    scopus 로고
    • An HBV model with diffusion and time delay
    • R. Xu, and Z. Ma An HBV model with diffusion and time delay J. Theoret. Biol. 257 2009 449 509
    • (2009) J. Theoret. Biol. , vol.257 , pp. 449-509
    • Xu, R.1    Ma, Z.2
  • 19
    • 79953187556 scopus 로고    scopus 로고
    • Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
    • G. Huang, W. Ma, and T. Takeuchi Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response Appl. Math. Lett. 24 2011 1199 1203
    • (2011) Appl. Math. Lett. , vol.24 , pp. 1199-1203
    • Huang, G.1    Ma, W.2    Takeuchi, T.3
  • 20
    • 79952575805 scopus 로고    scopus 로고
    • Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response
    • Y. Nakata Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response Nonlinear Anal. 74 2011 2929 2940
    • (2011) Nonlinear Anal. , vol.74 , pp. 2929-2940
    • Nakata, Y.1
  • 21
    • 0000076167 scopus 로고
    • Mutual interference between parasites or predators and its effect on searching efficiency
    • J.R. Beddington Mutual interference between parasites or predators and its effect on searching efficiency J. Animal Ecol. 44 1975 331 340
    • (1975) J. Animal Ecol. , vol.44 , pp. 331-340
    • Beddington, J.R.1
  • 23
    • 52049107094 scopus 로고    scopus 로고
    • Spatial dynamics of a nonlocal and time-delayed reaction-diffusion system
    • J. Fang, J.J. Wei, and X.-Q. Zhao Spatial dynamics of a nonlocal and time-delayed reaction-diffusion system J. Differential Equations 248 2008 2749 2770
    • (2008) J. Differential Equations , vol.248 , pp. 2749-2770
    • Fang, J.1    Wei, J.J.2    Zhao, X.-Q.3
  • 24
    • 33744731512 scopus 로고    scopus 로고
    • Front propagation for discrete periodic monostable equations
    • J.S. Guo, and F. Hamel Front propagation for discrete periodic monostable equations Math. Ann. 335 2006 489 525
    • (2006) Math. Ann. , vol.335 , pp. 489-525
    • Guo, J.S.1    Hamel, F.2
  • 25
    • 33845515570 scopus 로고    scopus 로고
    • Delayed nonlocal diffusive systems in biological invasion and disease spread
    • H. Brunner, X.-Q. Zhao, X. Zou, Fields Inst. Commun. Amer. Math. Soc. Providence, RI
    • S.A. Gourley, and J. Wu Delayed nonlocal diffusive systems in biological invasion and disease spread H. Brunner, X.-Q. Zhao, X. Zou, Nonlinear Dynamic and Evolution Equations Fields Inst. Commun. vol. 48 2006 Amer. Math. Soc. Providence, RI 137 200
    • (2006) Nonlinear Dynamic and Evolution Equations , vol.48 VOL. , pp. 137-200
    • Gourley, S.A.1    Wu, J.2
  • 26
    • 0038739403 scopus 로고    scopus 로고
    • Existence of traveling wavefronts of delayed reaction-diffusion systems without monotonicity
    • J. Huang, and X. Zou Existence of traveling wavefronts of delayed reaction-diffusion systems without monotonicity Discrete Contin. Dyn. Syst. Ser. A 9 2003 925 936
    • (2003) Discrete Contin. Dyn. Syst. Ser. A , vol.9 , pp. 925-936
    • Huang, J.1    Zou, X.2
  • 27
    • 84870469259 scopus 로고    scopus 로고
    • Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models
    • C.-H. Hsu, and T.-S. Yang Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models Nonlinearity 26 2013 121 139
    • (2013) Nonlinearity , vol.26 , pp. 121-139
    • Hsu, C.-H.1    Yang, T.-S.2
  • 28
    • 0035836903 scopus 로고    scopus 로고
    • Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
    • S.W. Ma Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem J. Differential Equations 171 2001 294 314
    • (2001) J. Differential Equations , vol.171 , pp. 294-314
    • Ma, S.W.1
  • 29
    • 0345116416 scopus 로고    scopus 로고
    • Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models
    • H.R. Thieme, and X.-Q. Zhao Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models J. Differential Equations 195 2003 430 470
    • (2003) J. Differential Equations , vol.195 , pp. 430-470
    • Thieme, H.R.1    Zhao, X.-Q.2
  • 30
    • 32044459052 scopus 로고    scopus 로고
    • Traveling wave fronts in reaction-diffusion systems with spatiotemporal delays
    • Z.C. Wang, W.T. Li, and S.G. Ruan Traveling wave fronts in reaction-diffusion systems with spatiotemporal delays J. Differential Equations 222 2006 185 232
    • (2006) J. Differential Equations , vol.222 , pp. 185-232
    • Wang, Z.C.1    Li, W.T.2    Ruan, S.G.3
  • 31
    • 0343717093 scopus 로고    scopus 로고
    • Travelling wave fronts of reaction diffusion systems with delay
    • J. Wu, and X. Zou Travelling wave fronts of reaction diffusion systems with delay J. Dynam. Differential Equations 13 2001 651 687
    • (2001) J. Dynam. Differential Equations , vol.13 , pp. 651-687
    • Wu, J.1    Zou, X.2
  • 33
    • 84966246501 scopus 로고
    • Absract functional differential equations and reaction-diffusion systems
    • R. Martin, and H. Smith Absract functional differential equations and reaction-diffusion systems Trans. Amer. Math. Soc. 321 1990 1 44
    • (1990) Trans. Amer. Math. Soc. , vol.321 , pp. 1-44
    • Martin, R.1    Smith, H.2
  • 34
    • 0042074672 scopus 로고    scopus 로고
    • Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays
    • C.V. Pao Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays Nonlinear Anal. Real World Appl. 5 2004 91 104
    • (2004) Nonlinear Anal. Real World Appl. , vol.5 , pp. 91-104
    • Pao, C.V.1
  • 35
    • 78651249823 scopus 로고    scopus 로고
    • Global analyis of a stage-structured model with population diffusion
    • W. Wang, and G. Mulone Global analyis of a stage-structured model with population diffusion Appl. Anal. 90 2011 253 262
    • (2011) Appl. Anal. , vol.90 , pp. 253-262
    • Wang, W.1    Mulone, G.2
  • 36
    • 3042695365 scopus 로고    scopus 로고
    • Global properties of basic virus dynamics models
    • A. Korobeinikov Global properties of basic virus dynamics models Bull. Math. Biol. 66 2004 879 883
    • (2004) Bull. Math. Biol. , vol.66 , pp. 879-883
    • Korobeinikov, A.1
  • 37
    • 70350722240 scopus 로고    scopus 로고
    • Complete global stablity for an SIR epidemic model with delay-distributed or discrete
    • C.C. McCluskey Complete global stablity for an SIR epidemic model with delay-distributed or discrete Nonlinear Anal. Real World Appl. 11 2010 55 59
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 55-59
    • McCluskey, C.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.