메뉴 건너뛰기




Volumn 2008, Issue , 2008, Pages

Extinction and permanence of a three-species Lotka-Volterra system with impulsive control strategies

Author keywords

[No Author keywords available]

Indexed keywords


EID: 58149522519     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2008/752403     Document Type: Article
Times cited : (18)

References (33)
  • 1
    • 19644401490 scopus 로고    scopus 로고
    • "Stabilization of large generalized Lotka-Volterra foodwebs by evolutionary feedback"
    • Article ID 158701
    • G. J. Ackland and I. D. Gallagher, "Stabilization of large generalized Lotka-Volterra foodwebs by evolutionary feedback," Physical Review Letters, vol. 93, no. 15, Article ID 158701, 4 pages, 2004.
    • (2004) Physical Review Letters , vol.93 , Issue.15 , pp. 4
    • Ackland, G.J.1    Gallagher, I.D.2
  • 4
    • 49749130502 scopus 로고    scopus 로고
    • "Impulsive perturbations of a three-trophic prey-dependent food chain system"
    • P. Georgescu and G. Moroşanu, "Impulsive perturbations of a three-trophic prey-dependent food chain system," Mathematical and Computer Modeling, vol. 48, no. 7-8, pp. 975-997, 2008.
    • (2008) Mathematical and Computer Modeling , vol.48 , Issue.7-8 , pp. 975-997
    • Georgescu, P.1    Moroşanu, G.2
  • 5
    • 33847027600 scopus 로고    scopus 로고
    • "Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response"
    • H.-F. Huo, W.-T. Li, and J. J. Nieto, "Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response," Chaos, Solitons & Fractals, vol. 33, no. 2, pp. 505-512, 2007.
    • (2007) Chaos, Solitons & Fractals , vol.33 , Issue.2 , pp. 505-512
    • Huo, H.-F.1    Li, W.-T.2    Nieto, J.J.3
  • 6
    • 38949134467 scopus 로고    scopus 로고
    • "The period function of the generalized Lotka-Volterra centers"
    • J. Villadelprat, "The period function of the generalized Lotka-Volterra centers," Journal of Mathematical Analysis and Applications, vol. 341, no. 2, pp. 834- 854, 2008.
    • (2008) Journal of Mathematical Analysis and Applications , vol.341 , Issue.2 , pp. 834-854
    • Villadelprat, J.1
  • 7
    • 85126444119 scopus 로고    scopus 로고
    • "Positive periodic solution of a more realistic three-species Lotka- Volterra model with delay and density regulation"
    • In press
    • S. Wen, S. Chen, and H. Mei, "Positive periodic solution of a more realistic three-species Lotka- Volterra model with delay and density regulation," Chaos, Solitons & Fractals. In press.
    • Chaos, Solitons & Fractals
    • Wen, S.1    Chen, S.2    Mei, H.3
  • 8
    • 12944265108 scopus 로고    scopus 로고
    • "Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems"
    • J. Yan, A. Zhao, and J. J. Nieto, "Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems," Mathematical and Computer Modelling, vol. 40, no. 5-6, pp. 509-518, 2004.
    • (2004) Mathematical and Computer Modelling , vol.40 , Issue.5-6 , pp. 509-518
    • Yan, J.1    Zhao, A.2    Nieto, J.J.3
  • 9
    • 44249125024 scopus 로고    scopus 로고
    • "Complexity of a delayed predator-prey model with impulsive harvest and Holling type II functional response"
    • G. Zeng, F. Wang, and J. J. Nieto, "Complexity of a delayed predator-prey model with impulsive harvest and Holling type II functional response," Advances in Complex Systems, vol. 11, no. 1, pp. 77- 97, 2008.
    • (2008) Advances in Complex Systems , vol.11 , Issue.1 , pp. 77-97
    • Zeng, G.1    Wang, F.2    Nieto, J.J.3
  • 10
    • 34547319856 scopus 로고    scopus 로고
    • "Impulsive ecological control of a stage-structured pest management system"
    • G. Jiang, Q. Lu, and L. Peng, "Impulsive ecological control of a stage-structured pest management system," Mathematical Biosciences and Engineering, vol. 2, no. 2, pp. 329-344, 2005.
    • (2005) Mathematical Biosciences and Engineering , vol.2 , Issue.2 , pp. 329-344
    • Jiang, G.1    Lu, Q.2    Peng, L.3
  • 11
    • 15244363365 scopus 로고    scopus 로고
    • "State-dependent impulsive models of integrated pest management IPM strategies and their dynamic consequences"
    • S. Tang and R. A. Cheke, "State-dependent impulsive models of integrated pest management IPM strategies and their dynamic consequences," Journal ofMathematical Biology, vol. 50, no. 3, pp. 257-292, 2005.
    • (2005) Journal OfMathematical Biology , vol.50 , Issue.3 , pp. 257-292
    • Tang, S.1    Cheke, R.A.2
  • 12
    • 13244265933 scopus 로고    scopus 로고
    • "Integrated pest management models and their dynamical behaviour"
    • S. Tang, Y. Xiao, L. Chen, and R. A. Cheke, "Integrated pest management models and their dynamical behaviour," Bulletin of Mathematical Biology, vol. 67, no. 1, pp. 115-135, 2005.
    • (2005) Bulletin of Mathematical Biology , vol.67 , Issue.1 , pp. 115-135
    • Tang, S.1    Xiao, Y.2    Chen, L.3    Cheke, R.A.4
  • 13
    • 0004290570 scopus 로고
    • Impulsive Differential Equations: Periodic Solutions and Applications, vol. 66 of Pitman Monographs and Surveys in Pure and Applied Mathematics
    • Harlo, UK
    • D. Bainov and P. S. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications, vol. 66 of Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Science & Technical, Harlo, UK, 1993.
    • (1993) Longman Science & Technical
    • Bainov, D.1    Simeonov, P.S.2
  • 19
    • 44649189400 scopus 로고    scopus 로고
    • "Mathematical modeling and control of population systems: Applications in biological pest control"
    • M. Rafikov, J.M. Balthazar, and H. F. von Bremen, "Mathematical modeling and control of population systems: Applications in biological pest control," Applied Mathematics and Computation, vol. 200, no. 2, pp. 557-573, 2008.
    • (2008) Applied Mathematics and Computation , vol.200 , Issue.2 , pp. 557-573
    • Rafikov, M.1    Balthazar, J.M.2    von Bremen, H.F.3
  • 20
    • 36949038244 scopus 로고    scopus 로고
    • "Permanence and periodic solution of predator-prey system with Holling type functional response and impulses"
    • Article ID 81756, 2007
    • W. Wang, J. Shen, and J. J. Nieto, "Permanence and periodic solution of predator-prey system with Holling type functional response and impulses," Discrete Dynamics in Nature and Society, vol. 2007, Article ID 81756, 15 pages, 2007.
    • (2007) Discrete Dynamics in Nature and Society , pp. 15
    • Wang, W.1    Shen, J.2    Nieto, J.J.3
  • 21
    • 34250343482 scopus 로고    scopus 로고
    • "A impulsive infective transmission SI model for pest control"
    • H. Zhang, W. Xu, and L. Chen, "A impulsive infective transmission SI model for pest control," Mathematical Methods in the Applied Sciences, vol. 30, no. 10, pp. 1169-1184, 2007.
    • (2007) Mathematical Methods in the Applied Sciences , vol.30 , Issue.10 , pp. 1169-1184
    • Zhang, H.1    Xu, W.2    Chen, L.3
  • 22
    • 43649101953 scopus 로고    scopus 로고
    • "A delayed epidemic model with stage-structure and pulses for pest management strategy"
    • H. Zhang, L. Chen, and J. J. Nieto, "A delayed epidemic model with stage-structure and pulses for pest management strategy," Nonlinear Analysis: Real World Applications, vol. 9, no. 4, pp. 1714-1726, 2008.
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.4 , pp. 1714-1726
    • Zhang, H.1    Chen, L.2    Nieto, J.J.3
  • 23
    • 18644371351 scopus 로고    scopus 로고
    • "Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy"
    • B. Liu, Y. Zhang, and L. Chen, "Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy," International Journal of Bifurcation and Chaos, vol. 15, no. 2, pp. 517-531, 2005.
    • (2005) International Journal of Bifurcation and Chaos , vol.15 , Issue.2 , pp. 517-531
    • Liu, B.1    Zhang, Y.2    Chen, L.3
  • 24
    • 0037332898 scopus 로고    scopus 로고
    • "Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator"
    • X. Liu and L. Chen, "Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator," Chaos, Solitons & Fractals, vol. 16, no. 2, pp. 311-320, 2003.
    • (2003) Chaos, Solitons & Fractals , vol.16 , Issue.2 , pp. 311-320
    • Liu, X.1    Chen, L.2
  • 25
    • 40949083467 scopus 로고    scopus 로고
    • "Complicated dynamics of a predator-prey system with Watt-type functional response and impulsive control strategy"
    • W. Wang, X. Wang, and Y. Lin, "Complicated dynamics of a predator-prey system with Watt-type functional response and impulsive control strategy," Chaos, Solitons & Fractals, vol. 37, no. 5, pp. 1427- 1441, 2008.
    • (2008) Chaos, Solitons & Fractals , vol.37 , Issue.5 , pp. 1427-1441
    • Wang, W.1    Wang, X.2    Lin, Y.3
  • 26
    • 85126457486 scopus 로고    scopus 로고
    • "The dynamical complexity of an impulsive Watt-type preypredator system"
    • In press
    • X. Wang, W. Wang, Y. Lin, and X. Lin, "The dynamical complexity of an impulsive Watt-type preypredator system," Chaos, Solitons & Fractals. In press.
    • Chaos, Solitons & Fractals
    • Wang, X.1    Wang, W.2    Lin, Y.3    Lin, X.4
  • 27
    • 45849121404 scopus 로고    scopus 로고
    • "The dynamical complexity of a Ivlev-type prey-predator system with impulsive effect"
    • H. Wang and W. Wang, "The dynamical complexity of a Ivlev-type prey-predator system with impulsive e.ect," Chaos, Solitons & Fractals, vol. 38, no. 4, pp. 1168-1176, 2008.
    • (2008) Chaos, Solitons & Fractals , vol.38 , Issue.4 , pp. 1168-1176
    • Wang, H.1    Wang, W.2
  • 28
    • 4243053687 scopus 로고    scopus 로고
    • "The study of predator-prey system with defensive ability of prey and impulsive perturbations on the predator"
    • S. Zhang, L. Dong, and L. Chen, "The study of predator-prey system with defensive ability of prey and impulsive perturbations on the predator," Chaos, Solitons & Fractals, vol. 23, no. 2, pp. 631-643, 2005.
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.2 , pp. 631-643
    • Zhang, S.1    Dong, L.2    Chen, L.3
  • 29
    • 24344490756 scopus 로고    scopus 로고
    • "Chaos in periodically forced Holling type IV predator-prey system with impulsive perturbations"
    • S. Zhang, D. Tan, and L. Chen, "Chaos in periodically forced Holling type IV predator-prey system with impulsive perturbations," Chaos, Solitons & Fractals, vol. 27, no. 4, pp. 980-990, 2006.
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.4 , pp. 980-990
    • Zhang, S.1    Tan, D.2    Chen, L.3
  • 30
    • 9644278028 scopus 로고    scopus 로고
    • "Chaos in three species food chain system with impulsive perturbations"
    • S. Zhang and L. Chen, "Chaos in three species food chain system with impulsive perturbations," Chaos, Solitons & Fractals, vol. 24, no. 1, pp. 73-83, 2005.
    • (2005) Chaos, Solitons & Fractals , vol.24 , Issue.1 , pp. 73-83
    • Zhang, S.1    Chen, L.2
  • 31
    • 13444288053 scopus 로고    scopus 로고
    • "A Holling II functional response food chain model with impulsive perturbations"
    • S. Zhang and L. Chen, "A Holling II functional response food chain model with impulsive perturbations," Chaos, Solitons & Fractals, vol. 24, no. 5, pp. 1269-1278, 2005.
    • (2005) Chaos, Solitons & Fractals , vol.24 , Issue.5 , pp. 1269-1278
    • Zhang, S.1    Chen, L.2
  • 32
    • 40749161156 scopus 로고    scopus 로고
    • "Chaotic behavior of a three-species Beddington-type system with impulsive perturbations"
    • W. Wang, H. Wang, and Z. Li, "Chaotic behavior of a three-species Beddington-type system with impulsive perturbations," Chaos, Solitons & Fractals, vol. 37, no. 2, pp. 438-443, 2008.
    • (2008) Chaos, Solitons & Fractals , vol.37 , Issue.2 , pp. 438-443
    • Wang, W.1    Wang, H.2    Li, Z.3
  • 33
    • 23144449908 scopus 로고    scopus 로고
    • "Dynamic complexities of a food chain model with impulsive perturbations and Beddington-DeAngelis functional response"
    • S. Zhang, D. Tan, and L. Chen, "Dynamic complexities of a food chain model with impulsive perturbations and Beddington-DeAngelis functional response," Chaos, Solitons & Fractals, vol. 27, no. 3, pp. 768 -777, 2006.
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.3 , pp. 768-777
    • Zhang, S.1    Tan, D.2    Chen, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.