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Volumn 28, Issue 1-4, 2001, Pages 27-44

Numerical determination of the instability region for a delay model of phage-bacteria interaction

Author keywords

Delay differential equations; Instability region; Phage bacteria interaction; Stability switch criterion

Indexed keywords


EID: 0035568086     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014070126757     Document Type: Article
Times cited : (1)

References (13)
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    • Manchester
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    • (1999) MCCM Technical Report , vol.343
    • Baker, C.T.H.1    Bocharov, G.A.2    Rihan, F.A.3
  • 3
    • 2042474906 scopus 로고    scopus 로고
    • On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage interaction
    • E. Beretta, M. Carletti and F. Solimano, On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage interaction, to appear in Canad. Appl. Math. Quart.
    • Canad. Appl. Math. Quart.
    • Beretta, E.1    Carletti, M.2    Solimano, F.3
  • 4
    • 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) 57-76.
    • (1998) Math. Biosci. , vol.149 , pp. 57-76
    • Beretta, E.1    Kuang, Y.2
  • 5
    • 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, Nonlin. Anal. RWA 2 (2001) 35-74.
    • (2001) Nonlin. Anal. RWA , vol.2 , pp. 35-74
    • Beretta, E.1    Kuang, Y.2
  • 6
    • 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, to appear in SIAM J. Math. Anal.
    • SIAM J. Math. Anal.
    • Beretta, E.1    Kuang, Y.2
  • 7
    • 0034509077 scopus 로고    scopus 로고
    • Numerical modelling in biosciences using delay differential equations
    • G.A. Bocharov and F.A. Rihan, Numerical modelling in biosciences using delay differential equations, J. Comput. Appl. Math. 125 (2000) 183-199.
    • (2000) J. Comput. Appl. Math. , vol.125 , pp. 183-199
    • Bocharov, G.A.1    Rihan, F.A.2
  • 8
    • 0000848484 scopus 로고
    • Conditions for the existence of bacteriophage
    • A. Campbell, Conditions for the existence of bacteriophage, Evolution 15 (1961) 153-165.
    • (1961) Evolution , vol.15 , pp. 153-165
    • Campbell, A.1
  • 10
    • 0001283921 scopus 로고
    • Stability switches in linear scalar neutral delay equations
    • H.I. Freedman and Y. Kuang, Stability switches in linear scalar neutral delay equations, Funkcialay Ekvacioj 34 (1991) 187-209.
    • (1991) Funkcialay Ekvacioj , vol.34 , pp. 187-209
    • Freedman, H.I.1    Kuang, Y.2
  • 13
    • 33845446052 scopus 로고
    • Calibrating of phage-induced mortality in marine bacteria. Ultrastructural studies of marine bacteriophage development from one-step growth experiments
    • L.M. Proctor, A. Okubo and J.A. Fuhrman, Calibrating of phage-induced mortality in marine bacteria. Ultrastructural studies of marine bacteriophage development from one-step growth experiments, Microb. Ecol. 25 (1993) 161-182.
    • (1993) Microb. Ecol. , vol.25 , pp. 161-182
    • Proctor, L.M.1    Okubo, A.2    Fuhrman, J.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.