메뉴 건너뛰기




Volumn 29, Issue 2, 2006, Pages 474-482

Chaotic behavior of a chemostat model with Beddington-DeAngelis functional response and periodically impulsive invasion

Author keywords

[No Author keywords available]

Indexed keywords

CHEMOSTATS; COMPUTER SIMULATION; FUNCTIONS; MATHEMATICAL MODELS; SUBSTRATES; SYSTEMS ANALYSIS;

EID: 31444451666     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.026     Document Type: Article
Times cited : (20)

References (27)
  • 1
    • 0000201530 scopus 로고
    • Complex dynamics in a model microbial system
    • M. Kot, G.S. Sayler, and T.W. Schultz Complex dynamics in a model microbial system Bull Math Biol 54 1992 619 648
    • (1992) Bull Math Biol , vol.54 , pp. 619-648
    • Kot, M.1    Sayler, G.S.2    Schultz, T.W.3
  • 2
    • 0026570272 scopus 로고
    • Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally and externally imposed frequencies
    • S. Pavlou, and I.G. Kevrekids Microbial predation in a periodically operated chemostat: a global study of the interaction between natural and externally and externally imposed frequencies Math Biosci 108 1992 1 55
    • (1992) Math Biosci , vol.108 , pp. 1-55
    • Pavlou, S.1    Kevrekids, I.G.2
  • 3
    • 0032126231 scopus 로고    scopus 로고
    • Food chains in the chemostat: Relationships between mean yield and complex dynamics
    • G. Alessandra, D.F. Oscar, and R. Sergio Food chains in the chemostat: relationships between mean yield and complex dynamics Bull Math Biol 60 1998 703 719
    • (1998) Bull Math Biol , vol.60 , pp. 703-719
    • Alessandra, G.1    Oscar, D.F.2    Sergio, R.3
  • 5
    • 0000076167 scopus 로고
    • Mutual interference between parasites or predators and its effect on searching efficiency
    • J.R. Beddington Mutual interference between parasites or predators and its effect on searching efficiency J Animal Ecol 44 1975 331 340
    • (1975) J Animal Ecol , vol.44 , pp. 331-340
    • Beddington, J.R.1
  • 8
    • 0028974350 scopus 로고
    • Comparing predator-prey models to Luckinbill's experiment with didinium and paramecium
    • G.W. Harrision Comparing predator-prey models to Luckinbill's experiment with didinium and paramecium Ecology 76 1995 357 369
    • (1995) Ecology , vol.76 , pp. 357-369
    • Harrision, G.W.1
  • 11
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulse and their population dynamic consequences
    • S.Y. Tang, and L.S. Chen Density-dependent birth rate, birth pulse and their population dynamic consequences J Math Biol 44 2002 185 199
    • (2002) J Math Biol , vol.44 , pp. 185-199
    • Tang, S.Y.1    Chen, L.S.2
  • 12
    • 0031750774 scopus 로고    scopus 로고
    • The dynamics of an infectious disease in a population with birth pulses
    • M.G. Roberts, and R.R. Kao The dynamics of an infectious disease in a population with birth pulses Math Biosci 149 1998 23 36
    • (1998) Math Biosci , vol.149 , pp. 23-36
    • Roberts, M.G.1    Kao, R.R.2
  • 13
    • 0032213158 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model
    • B. Shulgin, L. Stone, and Z. Agur Pulse vaccination strategy in the SIR epidemic model Bull Math Biol 60 1998 1 26
    • (1998) Bull Math Biol , vol.60 , pp. 1-26
    • Shulgin, B.1    Stone, L.2    Agur, Z.3
  • 14
    • 4243137828 scopus 로고    scopus 로고
    • Stability properties of pulse vaccination strategy in SEIR epidemic model
    • A. D'Onofrio Stability properties of pulse vaccination strategy in SEIR epidemic model Math Comput Modell 26 1997 59 72
    • (1997) Math Comput Modell , vol.26 , pp. 59-72
    • D'Onofrio, A.1
  • 15
    • 0030140255 scopus 로고    scopus 로고
    • A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
    • J.C. Panetta A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competitive environment Bull Math Biol 58 1996 425 447
    • (1996) Bull Math Biol , vol.58 , pp. 425-447
    • Panetta, J.C.1
  • 16
    • 0347269498 scopus 로고    scopus 로고
    • Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment
    • A. Lakmeche, and O. Arino Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment Dyn Continuous Discrete Impulsive Syst 7 2000 165 187
    • (2000) Dyn Continuous Discrete Impulsive Syst , vol.7 , pp. 165-187
    • Lakmeche, A.1    Arino, O.2
  • 17
    • 0031468520 scopus 로고    scopus 로고
    • Permanence of population growth models with impulsive effects
    • G. Ballinger, and X. Liu Permanence of population growth models with impulsive effects Math Comput Modell 26 1997 59 72
    • (1997) Math Comput Modell , vol.26 , pp. 59-72
    • Ballinger, G.1    Liu, X.2
  • 18
    • 0027706230 scopus 로고    scopus 로고
    • Invasion and chaos in a periodically pulsed mass-action chemostat
    • E. Funasaki, and M. Kot Invasion and chaos in a periodically pulsed mass-action chemostat Theoret Population Biol 1997 203 224
    • (1997) Theoret Population Biol , pp. 203-224
    • Funasaki, E.1    Kot, M.2
  • 19
    • 0037732498 scopus 로고    scopus 로고
    • Quasipeiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator
    • S.Y. Tang, and L.S. Chen Quasipeiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator Int J Bifurc Chaos 13 4 2003 973 980
    • (2003) Int J Bifurc Chaos , vol.13 , Issue.4 , pp. 973-980
    • Tang, S.Y.1    Chen, L.S.2
  • 20
    • 13444288053 scopus 로고    scopus 로고
    • A Holling II functional response food chain model with impulsive perturbations
    • S.W. Zhang, and L.S. Chen A Holling II functional response food chain model with impulsive perturbations Chaos, Solitons & Fractals 24 2005 1269 1278
    • (2005) Chaos, Solitons & Fractals , vol.24 , pp. 1269-1278
    • Zhang, S.W.1    Chen, L.S.2
  • 21
    • 0036489550 scopus 로고    scopus 로고
    • Chaos in functional response host-parasitoid ecosystem models
    • S.Y. Tang, and L.S. Chen Chaos in functional response host-parasitoid ecosystem models Chaos, Solitons & Fractals 13 2002 875 884
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 875-884
    • Tang, S.Y.1    Chen, L.S.2
  • 22
    • 0016394337 scopus 로고
    • Biological population with nonoverlapping generations: Stable points, stable cycles, and chaos
    • R.M. May Biological population with nonoverlapping generations: stable points, stable cycles, and chaos Science 186 1974 645 657
    • (1974) Science , vol.186 , pp. 645-657
    • May, R.M.1
  • 23
    • 0000336301 scopus 로고
    • Bifurcations and dynamic complexity in simple ecological models
    • R.M. May, and G.F. Oster Bifurcations and dynamic complexity in simple ecological models Am Nature 110 1976 573 599
    • (1976) Am Nature , vol.110 , pp. 573-599
    • May, R.M.1    Oster, G.F.2
  • 25
    • 0038239680 scopus 로고    scopus 로고
    • Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems
    • A. Venkatesan, S. Parthasarathy, and M. Lakshmanan Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems Chaos, Solitons & Fractals 18 2003 891 898
    • (2003) Chaos, Solitons & Fractals , vol.18 , pp. 891-898
    • Venkatesan, A.1    Parthasarathy, S.2    Lakshmanan, M.3
  • 26
    • 0034252135 scopus 로고    scopus 로고
    • Density-dependent vital rates and their population dynamic consequences
    • M.G. Neubert, and H. Caswell Density-dependent vital rates and their population dynamic consequences J Math Biol 41 2000 103 121
    • (2000) J Math Biol , vol.41 , pp. 103-121
    • Neubert, M.G.1    Caswell, H.2
  • 27
    • 0035751986 scopus 로고    scopus 로고
    • From chaos to chaos. An analysis of a discrete age-structured prey-predator model
    • A. Wikan From chaos to chaos. An analysis of a discrete age-structured prey-predator model J Math Biol 43 2001 471 500
    • (2001) J Math Biol , vol.43 , pp. 471-500
    • Wikan, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.