메뉴 건너뛰기




Volumn 260, Issue 4, 2009, Pages 502-509

Periodic solution of a chemostat model with Monod growth rate and impulsive state feedback control

Author keywords

Continuous culture; Impulsive autonomous system; Impulsive control; Microorganism; Periodic solution of order one

Indexed keywords

BIOTECHNOLOGY; CHEMOSTAT; CONTROL SYSTEM; MICROORGANISM; NUMERICAL MODEL;

EID: 70049102520     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.07.007     Document Type: Article
Times cited : (45)

References (21)
  • 2
    • 0000128494 scopus 로고
    • Qualitative properties of chemostat equation with time delays II
    • Beretta E., and Takeuchi Y. Qualitative properties of chemostat equation with time delays II. Differential Equations Dyn. Syst. 2 (1994) R263-R288
    • (1994) Differential Equations Dyn. Syst. , vol.2
    • Beretta, E.1    Takeuchi, Y.2
  • 4
    • 0041758422 scopus 로고    scopus 로고
    • Feedback control for chemostat models
    • De Leenheer P., and Smith H. Feedback control for chemostat models. J. Math. Biol. 46 (2003) R48-R70
    • (2003) J. Math. Biol. , vol.46
    • De Leenheer, P.1    Smith, H.2
  • 5
    • 0038778266 scopus 로고    scopus 로고
    • A theoretical and empirical investigation of delayed growth response in the culture of bacteria
    • Ellermeyer S., and Hendrix J. A theoretical and empirical investigation of delayed growth response in the culture of bacteria. J. Theor. Biol. 222 (2003) R485-R494
    • (2003) J. Theor. Biol. , vol.222
    • Ellermeyer, S.1    Hendrix, J.2
  • 6
    • 0031558482 scopus 로고    scopus 로고
    • Two distinct types of natural selection in turbidostat-like and chemostat-like ecosystems
    • Flegr J. Two distinct types of natural selection in turbidostat-like and chemostat-like ecosystems. J. Theor. Biol. 188 (1997) R121-R126
    • (1997) J. Theor. Biol. , vol.188
    • Flegr, J.1
  • 7
    • 15844396415 scopus 로고    scopus 로고
    • Feedback control for nonmonotone competition models in the chemostat
    • Gouze J.L., and Robledo G. Feedback control for nonmonotone competition models in the chemostat. Nonlinear Anal. Real World Appl. 6 4 (2005) R671-R690
    • (2005) Nonlinear Anal. Real World Appl. , vol.6 , Issue.4
    • Gouze, J.L.1    Robledo, G.2
  • 8
    • 33746005301 scopus 로고    scopus 로고
    • Complex dynamics of a Holling type II prey-predator system with state feedback control
    • Jiang G.R., Lu Q.S., and Qian L.N. Complex dynamics of a Holling type II prey-predator system with state feedback control. Chaos, Solitons Fractals 31 (2007) R448-R461
    • (2007) Chaos, Solitons Fractals , vol.31
    • Jiang, G.R.1    Lu, Q.S.2    Qian, L.N.3
  • 9
    • 34247122731 scopus 로고    scopus 로고
    • Chaos and its control in an impulsive differential system
    • Jiang G.R., Lu Q.S., and Qian L.N. Chaos and its control in an impulsive differential system. Chaos, Solitons Fractals 34 (2007) R1135-R1147
    • (2007) Chaos, Solitons Fractals , vol.34
    • Jiang, G.R.1    Lu, Q.S.2    Qian, L.N.3
  • 10
    • 0042448303 scopus 로고
    • Limit cycles in a chemostat-related model
    • Kuang Y. Limit cycles in a chemostat-related model. SIAM J. Appl. Math. 49 (1989) R1759-R1767
    • (1989) SIAM J. Appl. Math. , vol.49
    • Kuang, Y.1
  • 12
    • 70049090400 scopus 로고    scopus 로고
    • Competition in a turbidostat for an inhibitory nutrient
    • Li B.T. Competition in a turbidostat for an inhibitory nutrient. J. Biol. Dyn. 2 (2008) R208-R220
    • (2008) J. Biol. Dyn. , vol.2
    • Li, B.T.1
  • 14
    • 38149117106 scopus 로고    scopus 로고
    • Dynamic behaviors of Monod type chemostat model with impulsive perturbation on the nutrient concentration
    • Sun S.L., and Chen L.S. Dynamic behaviors of Monod type chemostat model with impulsive perturbation on the nutrient concentration. J. Math. Chem. 42 (2007) R837-R847
    • (2007) J. Math. Chem. , vol.42
    • Sun, S.L.1    Chen, L.S.2
  • 15
    • 84863116309 scopus 로고    scopus 로고
    • Dynamics of a nonautonomous system with impulsive output
    • Tan Y.S., Tao F.M., and Chen L.S. Dynamics of a nonautonomous system with impulsive output. Int. J. Biomath. 1 2 (2008) R225-R238
    • (2008) Int. J. Biomath. , vol.1 , Issue.2
    • Tan, Y.S.1    Tao, F.M.2    Chen, L.S.3
  • 16
    • 2942670841 scopus 로고    scopus 로고
    • Modelling and analysis of integrated pest management strategy
    • Tang S.Y., and Chen L.S. Modelling and analysis of integrated pest management strategy. Discrete Contin. Dyn. Syst. Ser. B 4 (2004) R759-R768
    • (2004) Discrete Contin. Dyn. Syst. Ser. B , vol.4
    • Tang, S.Y.1    Chen, L.S.2
  • 17
    • 13244265933 scopus 로고    scopus 로고
    • Integrated pest management models and their dynamical behaviour
    • Tang S.Y.., Xiao Y.N., Chen L.S., and Cheke R.A. Integrated pest management models and their dynamical behaviour. Bull. Math. Biol. 67 1 (2005) R115-R135
    • (2005) Bull. Math. Biol. , vol.67 , Issue.1
    • Tang, S.Y..1    Xiao, Y.N.2    Chen, L.S.3    Cheke, R.A.4
  • 18
    • 0842283262 scopus 로고    scopus 로고
    • Modeling threshold phenomena, metabolic pathways switches and signals in chemostat-cultivated cells: the Crabtree effect in Saccharomyces cerevisiae
    • Thierie J. Modeling threshold phenomena, metabolic pathways switches and signals in chemostat-cultivated cells: the Crabtree effect in Saccharomyces cerevisiae. J. Theor. Biol. 226 4 (2004) R483-R501
    • (2004) J. Theor. Biol. , vol.226 , Issue.4
    • Thierie, J.1
  • 19
    • 33747356002 scopus 로고    scopus 로고
    • Bifurcation and chaos in a Monod type food chain chemostat with pulsed input and washout
    • Wang F.Y., Hao C.P., and Chen L.S. Bifurcation and chaos in a Monod type food chain chemostat with pulsed input and washout. Chaos, Solitons Fractals 31 4 (2007) R826-R839
    • (2007) Chaos, Solitons Fractals , vol.31 , Issue.4
    • Wang, F.Y.1    Hao, C.P.2    Chen, L.S.3
  • 20
    • 26444534343 scopus 로고    scopus 로고
    • Existence of periodic solution of order one of planar impulsive autonomous system
    • Zeng G.Z., Chen L.S., and Sun L.H. Existence of periodic solution of order one of planar impulsive autonomous system. J. Comput. Appl. Math. 186 (2006) R466-R481
    • (2006) J. Comput. Appl. Math. , vol.186
    • Zeng, G.Z.1    Chen, L.S.2    Sun, L.H.3
  • 21
    • 0031095895 scopus 로고    scopus 로고
    • Comparison of various control configurations for continuous bioreactors
    • Zhao Y., and Skogestad S. Comparison of various control configurations for continuous bioreactors. Ind. Eng. Chem. Res. 36 (1997) R697-R705
    • (1997) Ind. Eng. Chem. Res. , vol.36
    • Zhao, Y.1    Skogestad, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.