메뉴 건너뛰기




Volumn 65, Issue 2, 2005, Pages 550-566

A delay reaction-diffusion model of the spread of bacteriophage infection

Author keywords

Delay; Reaction diffusion; Stage structure; Through stage death rate; Traveling wave

Indexed keywords

BACTERIOPHAGE; DELAY; REACTION-DIFFUSION; STAGE STRUCTURES; THROUGH-STAGE DEATH RATE; TRAVELING WAVES;

EID: 19944390652     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139903436613     Document Type: Article
Times cited : (90)

References (21)
  • 1
    • 0000788763 scopus 로고
    • Modeling the role of viral disease in recurrent phytoplankton blooms
    • E. BELTRAMI AND T. O. CARROLL, Modeling the role of viral disease in recurrent phytoplankton blooms, J. Math. Biol., 32 (1994), pp. 857-863.
    • (1994) J. Math. Biol. , vol.32 , pp. 857-863
    • Beltrami, E.1    Carroll, T.O.2
  • 2
    • 0031802262 scopus 로고    scopus 로고
    • Modeling and analysis of a marine bacteriophage infection
    • E. BERETTA AND Y. KUANG, Modeling and analysis of a marine bacteriophage infection, Math. Biosci., 149 (1998), pp. 57-76.
    • (1998) Math. Biosci. , vol.149 , pp. 57-76
    • Beretta, E.1    Kuang, Y.2
  • 3
    • 19944404654 scopus 로고    scopus 로고
    • On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection
    • E. BERETTA, M. CARLETTI, AND F. SOLIMANO, On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection, Canad. Appl. Math. Quart., 8 (2000), pp. 321-366.
    • (2000) Canad. Appl. Math. Quart. , vol.8 , pp. 321-366
    • Beretta, E.1    Carletti, M.2    Solimano, F.3
  • 4
    • 0002784039 scopus 로고    scopus 로고
    • Modeling and analysis of a marine bacteriophage infection with latency period
    • E. BERETTA AND Y. KUANG, Modeling and analysis of a marine bacteriophage infection with latency period, Nonlinear Anal. Real World Appl., 2 (2001), pp. 35-74.
    • (2001) Nonlinear Anal. Real World Appl. , vol.2 , pp. 35-74
    • Beretta, E.1    Kuang, Y.2
  • 5
    • 0036373967 scopus 로고    scopus 로고
    • Geometric stability switch criteria in delay differential systems with delay dependent parameters
    • E. BERETTA AND Y. KUANG, Geometric stability switch criteria in delay differential systems with delay dependent parameters, SIAM. J. Math. Anal., 33 (2002), pp. 1144-1165.
    • (2002) SIAM. J. Math. Anal. , vol.33 , pp. 1144-1165
    • Beretta, E.1    Kuang, Y.2
  • 6
    • 0024475207 scopus 로고
    • High abundance of viruses found in aquatic environments
    • O. BERGH, K. Y. BORSHEIM, G. BRATBAK, AND M. HELDAL, High abundance of viruses found in aquatic environments, Nature, 340 (1989), pp. 467-468.
    • (1989) Nature , vol.340 , pp. 467-468
    • Bergh, O.1    Borsheim, K.Y.2    Bratbak, G.3    Heldal, M.4
  • 7
    • 0033878587 scopus 로고    scopus 로고
    • Linking genetic change to community evolution: Insights from studies of bacteria and bacteriophage
    • B. J. M. BOHANNAN AND R. E. LENSKI, Linking genetic change to community evolution: Insights from studies of bacteria and bacteriophage, Ecology Letters, 3 (2000), pp. 362-377.
    • (2000) Ecology Letters , vol.3 , pp. 362-377
    • Bohannan, B.J.M.1    Lenski, R.E.2
  • 8
    • 0000848484 scopus 로고
    • Conditions for the existence of bacteriophage
    • A. CAMPBELL, Conditions for the existence of bacteriophage, Evolution, 15 (1961), pp. 153-165.
    • (1961) Evolution , vol.15 , pp. 153-165
    • Campbell, A.1
  • 9
    • 0035568086 scopus 로고    scopus 로고
    • Numerical determination of the instability region for a delay model of phage-bacteria interaction
    • M. CARLETTI, Numerical determination of the instability region for a delay model of phage-bacteria interaction, Numer. Algorithms, 28 (2001), pp. 27-44.
    • (2001) Numer. Algorithms , vol.28 , pp. 27-44
    • Carletti, M.1
  • 10
    • 0036176248 scopus 로고    scopus 로고
    • On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment
    • M. CARLETTI, On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment, Math. Biosci., 175 (2002), pp. 117-131.
    • (2002) Math. Biosci. , vol.175 , pp. 117-131
    • Carletti, M.1
  • 11
    • 19944407018 scopus 로고    scopus 로고
    • Extinction and wavefront propagation in a reaction-diffusion model of a structured population with distributed maturation delay
    • S. A. GOURLEY, AND J. W.-H. SO, Extinction and wavefront propagation in a reaction-diffusion model of a structured population with distributed maturation delay, Proc. Roy. Soc. Edinburgh Sect. A, 133 (2003), pp. 527-548.
    • (2003) Proc. Roy. Soc. Edinburgh Sect. A , vol.133 , pp. 527-548
    • Gourley, S.A.1    So, J.W.-H.2
  • 13
    • 0037406628 scopus 로고    scopus 로고
    • Biodiversity, habitat area, resource growth rate and interference competition
    • Y. KUANG, W. F. FAGAN, AND I. LOLADZE, Biodiversity, habitat area, resource growth rate and interference competition, Bull. Math. Biol., 65 (2003), pp. 497-518.
    • (2003) Bull. Math. Biol. , vol.65 , pp. 497-518
    • Kuang, Y.1    Fagan, W.F.2    Loladze, I.3
  • 14
    • 0022216068 scopus 로고
    • Constraints on the coevolution of bacteria and virulent phage: A model, some experiments, and predictions for natural communities
    • R. E. LENSKI AND B. R. LEVIN, Constraints on the coevolution of bacteria and virulent phage: A model, some experiments, and predictions for natural communities, Amer. Naturalist, 125 (1985), pp. 585-602.
    • (1985) Amer. Naturalist , vol.125 , pp. 585-602
    • Lenski, R.E.1    Levin, B.R.2
  • 16
    • 0025198355 scopus 로고
    • Viral mortality of marine bacteria and cyanobacteria
    • L. M. PROCTOR AND J. A. FUHRMAN, Viral mortality of marine bacteria and cyanobacteria, Nature, 343 (1990), pp. 60-62.
    • (1990) Nature , vol.343 , pp. 60-62
    • Proctor, L.M.1    Fuhrman, J.A.2
  • 17
    • 0001790430 scopus 로고
    • A structured population model and a related functional-differential equation: Global attractors and uniform persistence
    • H. L. SMITH, A structured population model and a related functional-differential equation: Global attractors and uniform persistence, J. Dynam. Differential Equations, 6 (1994), pp. 71-99.
    • (1994) J. Dynam. Differential Equations , vol.6 , pp. 71-99
    • Smith, H.L.1
  • 18
    • 32044440101 scopus 로고    scopus 로고
    • A reaction-diffusion model for a single species with age structure. I. Travelling wavefronts on unbounded domains
    • J. W.-H. SO, J. WU, AND X. ZOU, A reaction-diffusion model for a single species with age structure. I. Travelling wavefronts on unbounded domains, Proc. Roy. Soc. London Ser. A, 457 (2001), pp. 1841-1853.
    • (2001) Proc. Roy. Soc. London Ser. A , vol.457 , pp. 1841-1853
    • So, J.W.-H.1    Wu, J.2    Zou, A.X.3
  • 19
    • 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), pp. 430-470.
    • (2003) J. Differential Equations , vol.195 , pp. 430-470
    • Thieme, H.R.1    Zhao, X.-Q.2
  • 20
    • 0011689727 scopus 로고    scopus 로고
    • Global dynamics of a chemostat competition model with distributed delay
    • G. S. K. WOLKOWICZ, H. XIA, AND J. WU, Global dynamics of a chemostat competition model with distributed delay, J. Math. Biol., 38 (1999), pp. 285-316.
    • (1999) J. Math. Biol. , vol.38 , pp. 285-316
    • Wolkowicz, G.S.K.1    Xia, H.2    Wu, J.3
  • 21
    • 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), pp. 651-687.
    • (2001) J. Dynam. Differential Equations , vol.13 , pp. 651-687
    • Wu, J.1    Zou, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.