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Volumn 62, Issue 1-2, 2010, Pages 167-176

Dynamical behaviors of a trimolecular response model with impulsive input

Author keywords

Bifurcation; Biochemical reaction; Impulsive effect; Permanent

Indexed keywords

BIFURCATION; BIOCHEMICAL REACTIONS; DIFFERENTIAL THEORY; DYNAMICAL BEHAVIORS; IMPULSIVE EFFECTS; LIMIT CYCLE; PERIODIC SOLUTION; PERMANENT; POSITIVE EQUILIBRIUM; RESPONSE MODEL; SUFFICIENT CONDITIONS;

EID: 78049527088     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9707-5     Document Type: Article
Times cited : (10)

References (30)
  • 2
    • 0025413863 scopus 로고
    • Two routes to chaos in condensed phase combustion
    • 0696.76082 10.1137/0150026 1043595
    • A. Bayliss B.J. Matkowsky 1990 Two routes to chaos in condensed phase combustion SIAM J. Appl. Math. 50 2 437 459 0696.76082 10.1137/0150026 1043595
    • (1990) SIAM J. Appl. Math. , vol.50 , Issue.2 , pp. 437-459
    • Bayliss, A.1    Matkowsky, B.J.2
  • 3
    • 0028369845 scopus 로고
    • From traveling to chaos in combustion
    • 10.1137/S0036139992232921 1260912
    • A. Bayliss B.G. Matkowsky 1994 From traveling to chaos in combustion SIAM J. Appl. Math. 54 1 1470 1474 10.1137/S0036139992232921 1260912
    • (1994) SIAM J. Appl. Math. , vol.54 , Issue.1 , pp. 1470-1474
    • Bayliss, A.1    Matkowsky, B.G.2
  • 5
    • 0000542785 scopus 로고    scopus 로고
    • Operational procedure towards the classification of chemical oscillators
    • 10.1021/j100156a048
    • M. Eiswirth A. Freund J. Ross 1999 Operational procedure towards the classification of chemical oscillators J. Phys. Chem. 95 1294 1299 10.1021/j100156a048
    • (1999) J. Phys. Chem. , vol.95 , pp. 1294-1299
    • Eiswirth, M.1    Freund, A.2    Ross, J.3
  • 6
    • 78049528750 scopus 로고
    • The trimolecular response model of saturated Prigogine
    • 1806387
    • H.Z. Gao K.N. Huang 1990 The trimolecular response model of saturated Prigogine J. Fujian Norm. Univ. (Nat. Sci.) 6 4 18 24 1806387
    • (1990) J. Fujian Norm. Univ. (Nat. Sci.) , vol.6 , Issue.4 , pp. 18-24
    • Gao, H.Z.1    Huang, K.N.2
  • 9
    • 0015012526 scopus 로고
    • 10.1016/0022-5193(71)90054-3
    • R. Lefever G. Nicolis 1971 J. Theor. Biol. 30 267 280 10.1016/0022-5193(71)90054-3
    • (1971) J. Theor. Biol. , vol.30 , pp. 267-280
    • Lefever, R.1    Nicolis, G.2
  • 10
    • 0037332898 scopus 로고    scopus 로고
    • Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
    • DOI 10.1016/S0960-0779(02)00408-3, PII S0960077902004083
    • X.N. Liu L.S. Chen 2003 Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator Chaos Solitons Fractals 16 311 320 1085.34529 10.1016/S0960-0779(02)00408-3 1949478 (Pubitemid 35412184)
    • (2003) Chaos, Solitons and Fractals , vol.16 , Issue.2 , pp. 311-320
    • Liu, X.1    Chen, L.2
  • 11
    • 10244240509 scopus 로고    scopus 로고
    • The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management
    • 10.1016/j.nonrwa.2004.08.001 2111652
    • B. Liu Y.J. Zhang L.S. Chen 2005 The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management Nonlinear Anal.: Real World Appl. 6 227 243 10.1016/j.nonrwa.2004.08.001 2111652
    • (2005) Nonlinear Anal.: Real World Appl. , vol.6 , pp. 227-243
    • Liu, B.1    Zhang, Y.J.2    Chen, L.S.3
  • 12
    • 0005359799 scopus 로고    scopus 로고
    • From annular to interval dynamics: Symbolic analysis of the periodically forced Brusselator
    • DOI 10.1016/0960-0779(96)00006-9
    • J.X. Liu W.M. Zheng B.L. Hao 1996 From annular to interval dynamics: symbolic analysis of the periodically forced Brusselator Chaos Solitons Fractals 7 1427 1453 1080.37561 10.1016/0960-0779(96)00006-9 1409911 (Pubitemid 126377335)
    • (1996) Chaos, Solitons and Fractals , vol.7 , Issue.9 , pp. 1427-1453
    • Liu, J.-X.1    Zheng, W.-M.2    Hao, B.-L.3
  • 14
    • 84863116421 scopus 로고    scopus 로고
    • Permanence and global stability in an impulsive Lotka-Volterra N-Species competitive system with both discrete delays and continuous delays
    • 1155.92356 10.1142/S1793524508000151 2444295
    • X.Z. Meng L.S. Chen 2008 Permanence and global stability in an impulsive Lotka-Volterra N-Species competitive system with both discrete delays and continuous delays Int. J. Biomath. 1 179 196 1155.92356 10.1142/ S1793524508000151 2444295
    • (2008) Int. J. Biomath. , vol.1 , pp. 179-196
    • Meng, X.Z.1    Chen, L.S.2
  • 15
    • 37248999845 scopus 로고    scopus 로고
    • The dynamics of an age structured predator-prey model with disturbing pulse and time delays
    • DOI 10.1016/j.nonrwa.2006.12.001, PII S1468121806001647
    • X.Z. Meng J.J. Jiao L.S. Chen 2008 The dynamics of an age structured predator-prey model with disturbing pulse and time delayeds Nonlinear Anal.: Real World Appl. 9 547 561 1142.34054 10.1016/j.nonrwa.2006.12.001 2382398 (Pubitemid 350267346)
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.2 , pp. 547-561
    • Meng, X.1    Jiao, J.2    Chen, L.3
  • 16
    • 38849176953 scopus 로고    scopus 로고
    • Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment
    • DOI 10.1007/s10483-008-0110-x
    • X.Z. Meng Q.L. Zhao L.S. Chen 2008 Global qualitative analysis of a new Monod type chemostat model with delayed growth response and pulsed input in a polluted environment Appl. Math. Mech. 29 75 87 05318339 10.1007/s10483-008- 0110-x 2445571 (Pubitemid 351200441)
    • (2008) Applied Mathematics and Mechanics (English Edition) , vol.29 , Issue.1 , pp. 75-87
    • Meng, X.-Z.1    Zhao, Q.-L.2    Chen, L.-S.3
  • 18
    • 33746776371 scopus 로고
    • Time, structure and fluctuations
    • 8, December
    • Prigogine, I.: Time, structure and fluctuations. Noble Lecture 8, December (1977)
    • (1977) Noble Lecture
    • Prigogine, I.1
  • 21
    • 70349202857 scopus 로고    scopus 로고
    • The study of a ratio-dependent predator-prey model with stage structure in the prey
    • 1183.92083 10.1007/s11071-009-9491-2 2550826
    • R.Q. Shi L.S. Chen 2009 The study of a ratio-dependent predator-prey model with stage structure in the prey Nonlinear Dyn. 58 443 451 1183.92083 10.1007/s11071-009-9491-2 2550826
    • (2009) Nonlinear Dyn. , vol.58 , pp. 443-451
    • Shi, R.Q.1    Chen, L.S.2
  • 22
    • 51849099116 scopus 로고    scopus 로고
    • Dynamical behaviors of the Brusselator system with impulsive input
    • 10.1007/s10910-008-9362-y 2439060
    • M.J. Sun Y.S. Tan L.S. Chen 2008 Dynamical behaviors of the Brusselator system with impulsive input J. Math. Chem. 10.1007/s10910-008-9362-y 2439060
    • (2008) J. Math. Chem.
    • Sun, M.J.1    Tan, Y.S.2    Chen, L.S.3
  • 24
    • 4244101701 scopus 로고
    • Some further studies of nonlinear oscillations in chemical systems
    • 10.1063/1.1679748
    • J.J. Tyson J. Liht 1973 Some further studies of nonlinear oscillations in chemical systems J. Chem. Phys. 58 3919 3930 10.1063/1.1679748
    • (1973) J. Chem. Phys. , vol.58 , pp. 3919-3930
    • Tyson, J.J.1    Liht, J.2
  • 25
    • 70450260787 scopus 로고    scopus 로고
    • Dynamic complexity of microbial pesticide model
    • 10.1007/s11071-009-9499-7
    • T.Y. Wang L.S. Chen 2009 Dynamic complexity of microbial pesticide model Nonlinear Dyn. 10.1007/s11071-009-9499-7
    • (2009) Nonlinear Dyn.
    • Wang, T.Y.1    Chen, L.S.2
  • 26
    • 67449138477 scopus 로고    scopus 로고
    • Dynamic analysis of mathematical model of ethanol fermentation with gas stripping
    • 1082.34039 10.1007/s11071-008-9415-6 2511152
    • C.J. Wei L.S. Chen 2009 Dynamic analysis of mathematical model of ethanol fermentation with gas stripping Nonlinear Dyn. 57 13 23 1082.34039 10.1007/s11071-008-9415-6 2511152
    • (2009) Nonlinear Dyn. , vol.57 , pp. 13-23
    • Wei, C.J.1    Chen, L.S.2
  • 27
    • 36949058437 scopus 로고
    • Concentration wave propagation in two-dimensional liquid-phase
    • A.N. Zailin A.M. Zhabotinskii 1970 Concentration wave propagation in two-dimensional liquid-phase Nature 225 535
    • (1970) Nature , vol.225 , pp. 535
    • Zailin, A.N.1    Zhabotinskii, A.M.2
  • 28
    • 84863115644 scopus 로고    scopus 로고
    • A model for two species with stage structure and feedback control
    • 1155.92359 10.1142/S1793524508000230 2449829
    • H. Zhang L.S. Chen 2008 A model for two species with stage structure and feedback control Int. J. Biomath. 1 267 286 1155.92359 10.1142/S1793524508000230 2449829
    • (2008) Int. J. Biomath. , vol.1 , pp. 267-286
    • Zhang, H.1    Chen, L.S.2
  • 29
    • 67449164093 scopus 로고    scopus 로고
    • Chemical chaos in enzyme kinetics
    • 1176.80088 10.1007/s11071-008-9427-2 2511163
    • Z. Zhao L.S. Chen 2009 Chemical chaos in enzyme kinetics Nonlinear Dyn. 57 135 142 1176.80088 10.1007/s11071-008-9427-2 2511163
    • (2009) Nonlinear Dyn. , vol.57 , pp. 135-142
    • Zhao, Z.1    Chen, L.S.2
  • 30
    • 79952004546 scopus 로고    scopus 로고
    • The effect of pulsed harvesting policy on the inshore-offshore fishery model with the impulsive diffusion
    • doi: 10.1007/s11071-009-9527-7
    • Zhao, Z., Zhang, X.Q., Chen, L.S.: The effect of pulsed harvesting policy on the inshore-offshore fishery model with the impulsive diffusion, Nonlinear Dyn. (2009). doi: 10.1007/s11071-009-9527-7
    • (2009) Nonlinear Dyn
    • Zhao, Z.1    Zhang, X.Q.2    Chen, L.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.