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Volumn 219, Issue 20, 2013, Pages 10263-10270

A delayed Lotka-Volterra model with birth pulse and impulsive effect at different moment on the prey

Author keywords

Birth pulse; Delayed Lotka Volterra model; Global attractivity; Impulsive effect; Permanence

Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL TECHNIQUES;

EID: 84893707688     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.03.129     Document Type: Article
Times cited : (15)

References (19)
  • 1
    • 0000083221 scopus 로고
    • Age-dependent prédation is not a simple process. I. Continuous time models
    • A. Hastings, Age-dependent prédation is not a simple process. I. Continuous time models, Theor. Popul. Biol. 23 (1983) 47-62.
    • (1983) Theor. Popul. Biol. , vol.23 , pp. 47-62
    • Hastings, A.1
  • 2
    • 33947200296 scopus 로고    scopus 로고
    • Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
    • DOI 10.1016/j.amc.2006.07.124, PII S0096300306009623
    • X. Meng, L. Chen, H. Cheng, Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination, Appl. Math. Comput. 186 (2007) 516-529. (Pubitemid 46435636)
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.1 , pp. 516-529
    • Meng, X.1    Chen, L.2    Cheng, H.3
  • 3
    • 33846624830 scopus 로고    scopus 로고
    • Permanence and extinction of a periodic predator-prey delay system with functional response and stage structure for prey
    • DOI 10.1016/j.amc.2006.05.195, PII S0096300306007831
    • H. Zhang, L Chen, R. Zhu, Permanence and extinction of a periodic predator-prey delay system with functional response and stage structure for prey, Appl. Math. Comput. 184 (2007) 931-944. (Pubitemid 46176149)
    • (2007) Applied Mathematics and Computation , vol.184 , Issue.2 , pp. 931-944
    • Zhang, H.1    Chen, L.2    Zhu, R.3
  • 4
    • 15844390604 scopus 로고    scopus 로고
    • A stage structured predator-prey model and its dependence on maturation delay and death rate
    • DOI 10.1007/s00285-004-0278-2
    • S.A Gourley, Y. Kuang, A stage structured predator-prey model and its dependence on through-stage delay and death rate, J. Math. Biol. 49 (2004) 188-200. (Pubitemid 40876393)
    • (2004) Journal of Mathematical Biology , vol.49 , Issue.2 , pp. 188-200
    • Gourley, S.A.1    Kuang, Y.2
  • 5
    • 33747198005 scopus 로고    scopus 로고
    • A stage-structured predator-prey model of Beddington-DeAngelis type
    • DOI 10.1137/050630003
    • S. Liu, E. Beretta, A stage-structured predator-prey model of beddington deangelis type, SIAM J. Appl. Math. 66 (4) (2006) 1101-1129. (Pubitemid 44231183)
    • (2006) SIAM Journal on Applied Mathematics , vol.66 , Issue.4 , pp. 1101-1129
    • Liu, S.1    Beretta, E.2
  • 6
    • 0036659991 scopus 로고    scopus 로고
    • Asymptotic behaviors of competitive lotka-volterra system with stage structure
    • S. Liu, L. Chen, G. Luo, Y. Jiang, Asymptotic behaviors of competitive Lotka-Volterra system with stage structure, J. Math. Anal. Appl. 271 (2002) 124-138.
    • (2002) J. Math. Anal. Appl. , vol.271 , pp. 124-138
    • Liu, S.1    Chen, L.2    Luo, G.3    Jiang, Y.4
  • 7
    • 3042704738 scopus 로고    scopus 로고
    • The periodic competing Lotka-Volterra model with impulsive effect
    • B. Liu, L. Chen, The periodic competing Lotka-Volterra model with impulsive effect, IMA J. Math. Med. Biol. 21 (2004) 129-145. (Pubitemid 38867856)
    • (2004) Mathematical Medicine and Biology , vol.21 , Issue.2 , pp. 129-145
    • Liu, B.1    Chen, L.2
  • 8
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulses and their population dynamic consequences
    • DOI 10.1007/s002850100121
    • S. Tang, L. Chen, Density-dependent birth rate, birth pulses and their population dynamic consequences, J. Math. Biol. 44 (2002) 185-199. (Pubitemid 44200139)
    • (2002) Journal of Mathematical Biology , vol.44 , Issue.2 , pp. 185-199
    • Tang, S.1    Chen, L.2
  • 9
    • 0037410027 scopus 로고    scopus 로고
    • Boundedness for impulsive delay differential equations and applications to population growth models
    • X. Liu, G. Ballinger, Boundedness for impulsive delay differential equations and applications to population growth models, Nonlinear Anal. 53 (2003) 1041-1062.
    • (2003) Nonlinear Anal. , vol.53 , pp. 1041-1062
    • Liu, X.1    Ballinger, G.2
  • 10
    • 38649104183 scopus 로고    scopus 로고
    • A new stage structured predator-prey gomportz model with time delay and impulsive perturbations on the prey
    • K.Y. Liu, X.Z. Meng, LS. Chen, A new stage structured predator-prey Gomportz model with time delay and impulsive perturbations on the prey, Appl. Math. Comput. 196 (2008) 705-719.
    • (2008) Appl. Math. Comput. , vol.196 , pp. 705-719
    • Liu, K.Y.1    Meng, X.Z.2    Chen, L.S.3
  • 12
    • 0003475470 scopus 로고
    • Springer-Verlag, Berlin, Heidelberg, NY
    • J.D. Murry, Mathematical Biology, Springer-Verlag, Berlin, Heidelberg, NY, 1989.
    • (1989) Mathematical Biology
    • Murry, J.D.1
  • 13
    • 0025132577 scopus 로고
    • A time-delay model of single-species growth with stage-structured
    • W.G. Aiello, H.I. Freedman, A time-delay model of single-species growth with stage-structured, Math. Biosci. 101 (1990) 139.
    • (1990) Math. Biosci. , vol.101 , pp. 139
    • Aiello, W.G.1    Freedman, H.I.2
  • 14
    • 0022842682 scopus 로고
    • Global stability in time-delayed single species dynamics
    • H.I. Freedman, K. Gopalsamy, Global stability in time-delayed single species dynamics, Bull. Math. Biol. 48 (1986) 485.
    • (1986) Bull. Math. Biol. , vol.48 , pp. 485
    • Freedman, H.I.1    Gopalsamy, K.2
  • 15
    • 0019430734 scopus 로고
    • Global stability for population models
    • P. Cull, Global stability for population models, Bull. Math. Biol. 43 (1987) 47-85.
    • (1987) Bull. Math. Biol. , vol.43 , pp. 47-85
    • Cull, P.1
  • 16
    • 0032213158 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model
    • B. Shulgin, L. Stone, 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
  • 18
    • 0035016953 scopus 로고    scopus 로고
    • Modeling and analysis of a predator-prey model with disease in the prey
    • DOI 10.1016/S0025-5564(01)00049-9, PII S0025556401000499
    • Y. Xiao, L Chen, Modelling and analysis of a predator-prey model with disease in the prey, Math. Biosci. 171 (2001) 59-82. (Pubitemid 32429043)
    • (2001) Mathematical Biosciences , vol.171 , Issue.1 , pp. 59-82
    • Xiao, Y.1    Chen, L.2
  • 19
    • 84893709961 scopus 로고
    • Chinese Science and Technology Publishing House, Bejing (in Chinese)
    • L. Chen, Biomathematical Models and Research, Vol. 84, Chinese Science and Technology Publishing House, Bejing, 1988 (in Chinese).
    • (1988) Biomathematical Models and Research , vol.84
    • Chen, L.1


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