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Volumn 5, Issue 5, 2004, Pages 895-909

Traveling waves in a bio-reactor model

Author keywords

Bio reactor model; Center manifold theorem; Heteroclinic orbit; Singular perturbation theory; Traveling waves

Indexed keywords


EID: 4344640995     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2004.05.001     Document Type: Article
Times cited : (30)

References (9)
  • 1
    • 0032201842 scopus 로고    scopus 로고
    • Effects of random motility on microbial growth and competition in a flow reactor
    • Ballyk M. Le D. Jones D.A. Smith H.L. Effects of random motility on microbial growth and competition in a flow reactor SIAM J. Appl. Math. 59 1999 573-596
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 573-596
    • Ballyk, M.1    Le, D.2    Jones, D.A.3    Smith, H.L.4
  • 2
    • 0003289290 scopus 로고
    • Applications of centre manifold theory
    • New York: Springer
    • Carr J. Applications of centre manifold theory Applied Mathematical Sciences Vol. 35 1981 Springer New York
    • (1981) Applied Mathematical Sciences , vol.35
    • Carr, J.1
  • 3
    • 34250627892 scopus 로고
    • Geometrical singular perturbation theory for ordinary differential equations
    • Fenichel N. Geometrical singular perturbation theory for ordinary differential equations J. Differential Equations 31 1979 53-98
    • (1979) J. Differential Equations , vol.31 , pp. 53-98
    • Fenichel, N.1
  • 4
    • 0002316532 scopus 로고
    • Geometrical singular perturbation theory
    • R. Johnson (Ed.), New York: Springer
    • Jones C.K.R.T. Geometrical singular perturbation theory In: Johnson R. (Ed.) Dynamical Systems Lecture Notes in Mathematics Vol. 1609 1995 Springer New York
    • (1995) Dynamical Systems , vol.1609
    • Jones, C.K.R.T.1
  • 5
    • 0019153064 scopus 로고
    • Traveling waves in a simple population model involving growth and death
    • Kennedy C.R. Aris R. Traveling waves in a simple population model involving growth and death Bulletin of Math. Biol. 42 1980 397-429
    • (1980) Bulletin of Math. Biol. , vol.42 , pp. 397-429
    • Kennedy, C.R.1    Aris, R.2
  • 7
    • 0035506976 scopus 로고    scopus 로고
    • Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation
    • Rottschafer V. Wayne C.E. Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation J. Differential Equations 176 2001 532-560
    • (2001) J. Differential Equations , vol.176 , pp. 532-560
    • Rottschafer, V.1    Wayne, C.E.2
  • 8
    • 0033164394 scopus 로고    scopus 로고
    • Dynamics of a periodically pulsed bio-reactor model
    • Smith H.L. Zhao X.-Q. Dynamics of a periodically pulsed bio-reactor model J. Differential Equations 155 1999 368-404
    • (1999) J. Differential Equations , vol.155 , pp. 368-404
    • Smith, H.L.1    Zhao, X.-Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.