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Volumn 88, Issue 8, 2009, Pages 1143-1155

The effects of a single stage-structured population model with impulsive toxin input and time delays in a polluted environment

Author keywords

Environmental pollution; Global attractivity; Impulsive toxin input; Stage structured; Time delay

Indexed keywords


EID: 70349886551     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810903156156     Document Type: Article
Times cited : (6)

References (29)
  • 1
    • 0020959624 scopus 로고
    • Effects of toxicants on population: A qualitative approach, II. First order kinetics
    • T.G. Hallam, C.E. Clark, and G.S. Jordan, Effects of toxicants on population: A qualitative approach, II. First order kinetics, J. Math. Biol. 18(1) (1983), pp. 25-37.
    • (1983) J. Math. Biol. , vol.18 , Issue.1 , pp. 25-37
    • Hallam, T.G.1    Clark, C.E.2    Jordan, G.S.3
  • 2
    • 0020571184 scopus 로고
    • Effects of toxicant on population: A qualitative approach. I. Equilibrium environmental exposure
    • T.G. Hallam, C.E. Clark, and R.R. Lassiter, Effects of toxicant on population: A qualitative approach. I. Equilibrium environmental exposure, Ecol. Model. 18 (1983), pp. 291-304.
    • (1983) Ecol. Model. , vol.18 , pp. 291-304
    • Hallam, T.G.1    Clark, C.E.2    Lassiter, R.R.3
  • 3
    • 0142059602 scopus 로고    scopus 로고
    • The effects of impulsive toxicant input on a population in a polluted environment
    • B. Liu, L.S. Chen, and Y.J. Zhang, The effects of impulsive toxicant input on a population in a polluted environment, J. Biol. Syst. 11(3) (2003), pp. 265-274.
    • (2003) J. Biol. Syst. , vol.11 , Issue.3 , pp. 265-274
    • Liu, B.1    Chen, L.S.2    Zhang, Y.J.3
  • 4
    • 70349872577 scopus 로고    scopus 로고
    • How do the spatial structure and time delay affect the persistence of a polluted species
    • Y.N. Xiao and L.S. Chen, How do the spatial structure and time delay affect the persistence of a polluted species, Appl. Anal. 82(3) (2003), pp. 253-267.
    • (2003) Appl. Anal. , vol.82 , Issue.3 , pp. 253-267
    • Xiao, Y.N.1    Chen, L.S.2
  • 5
    • 0036129371 scopus 로고    scopus 로고
    • Control of environmental pollution to conserve a population, Nonlinear Anal
    • P.D.N. Srinivasu, Control of environmental pollution to conserve a population, Nonlinear Anal. Real World Appl. 3 (2002), pp. 397-411.
    • (2002) Real World Appl. , vol.3 , pp. 397-411
    • Srinivasu, P.D.N.1
  • 8
    • 27144533856 scopus 로고    scopus 로고
    • The dynamics of a prey-dependent consumption model concerning impulsive control strategy
    • B. Liu, L.S. Chen, and Y.J. Zhang, The dynamics of a prey-dependent consumption model concerning impulsive control strategy, Appl. Math. Comput. 169 (2005), pp. 305-320.
    • (2005) Appl. Math. Comput. , vol.169 , pp. 305-320
    • Liu, B.1    Chen, L.S.2    Zhang, Y.J.3
  • 9
    • 1842581466 scopus 로고    scopus 로고
    • Dynamic complexities of a Holling I predator-prey Model concerning periodic biological and chemical control
    • B. Liu, Y.J. Zhang, and L.S. Chen, Dynamic complexities of a Holling I predator-prey Model concerning periodic biological and chemical control, Chaos Solitons Fractals 22(1) (2004), pp. 123-134.
    • (2004) Chaos Solitons Fractals , vol.22 , Issue.1 , pp. 123-134
    • Liu, B.1    Zhang, Y.J.2    Chen, L.S.3
  • 10
    • 18644371351 scopus 로고    scopus 로고
    • Dynamic complexities in Lotka-Volterra predator-prey system concerning impulsive control strategy
    • B. Liu and L.S. Chen, Dynamic complexities in Lotka-Volterra predator-prey system concerning impulsive control strategy, Int. J. Bifurcation Chaos 15(2) (2005), pp. 517-531.
    • (2005) Int. J. Bifurcation Chaos , vol.15 , Issue.2 , pp. 517-531
    • Liu, B.1    Chen, L.S.2
  • 11
    • 33746000128 scopus 로고    scopus 로고
    • Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
    • B. Liu, Z.D. Teng, and W.B. Liu, Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations, Chaos Solitons Fractals 31(2) (2007), pp. 356-370.
    • (2007) Chaos Solitons Fractals , vol.31 , Issue.2 , pp. 356-370
    • Liu, B.1    Teng, Z.D.2    Liu, W.B.3
  • 12
    • 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
    • X.Z. Meng and L.S. Chen, Permanence and global stability in an impulsive Lotka-Volterra N-Species competitive system with both discrete delays and continuous delays, Int. J. Biomath. 1(2) (2008), pp. 179-196.
    • (2008) Int. J. Biomath. , vol.1 , Issue.2 , pp. 179-196
    • Meng, X.Z.1    Chen, L.S.2
  • 13
    • 39449119838 scopus 로고    scopus 로고
    • The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
    • X.Z. Meng and L.S. Chen, The dynamics of a new SIR epidemic model concerning pulse vaccination strategy, Appl. Math. Comput. 197(2) (2008), pp. 582-597.
    • (2008) Appl. Math. Comput. , vol.197 , Issue.2 , pp. 582-597
    • Meng, X.Z.1    Chen, L.S.2
  • 14
    • 33747887669 scopus 로고    scopus 로고
    • The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects
    • X.Y. Song and Z.Y. Xiang, The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects, J. Theor. Biol. 242(3) (2006), pp. 683-698.
    • (2006) J. Theor. Biol. , vol.242 , Issue.3 , pp. 683-698
    • Song, X.Y.1    Xiang, Z.Y.2
  • 15
    • 51749097139 scopus 로고    scopus 로고
    • A stage-structured predator-prey model with disturbing pulse and time delays
    • X.Y. Song, M.Y. Hao, and X.Z. Meng, A stage-structured predator-prey model with disturbing pulse and time delays, Appl. Math. Model. 33(1) (2009), pp. 211-223.
    • (2009) Appl. Math. Model. , vol.33 , Issue.1 , pp. 211-223
    • Song, X.Y.1    Hao, M.Y.2    Meng, X.Z.3
  • 16
    • 39149101435 scopus 로고    scopus 로고
    • Multiple attractors of host C parasitoid models with integrated pest management strategies: Eradication persistence and outbreak
    • S.Y. Tang, Y.N. Xiao, and R.A. Cheke, Multiple attractors of host C parasitoid models with integrated pest management strategies: Eradication persistence and outbreak, Theor. Population Biol. 73(2) (2008), pp. 181-197.
    • (2008) Theor. Population Biol. , vol.73 , Issue.2 , pp. 181-197
    • Tang, S.Y.1    Xiao, Y.N.2    Cheke, R.A.3
  • 17
    • 49849083014 scopus 로고    scopus 로고
    • Models for integrated pest control and their biological implications
    • S.Y. Tang and R.A. Cheke, Models for integrated pest control and their biological implications, Math. Biosci. 215(1) (2008), pp. 115-125.
    • (2008) Math. Biosci. , vol.215 , Issue.1 , pp. 115-125
    • Tang, S.Y.1    Cheke, R.A.2
  • 18
    • 84863116071 scopus 로고    scopus 로고
    • Global attractivity of a stage-structure variable coefficients predator-prey system with time delay and impulsive perturbations on predators
    • J.J. Jiao and L.S. Chen, Global attractivity of a stage-structure variable coefficients predator-prey system with time delay and impulsive perturbations on predators, Int. J. Biomath. 1(2) (2008), pp. 197-208.
    • (2008) Int. J. Biomath. , vol.1 , Issue.2 , pp. 197-208
    • Jiao, J.J.1    Chen, L.S.2
  • 19
    • 55949111153 scopus 로고    scopus 로고
    • Impulsive vaccination ofSEIR epidemic model with time delay and nonlinear incidence rate
    • Z. Zhao and X.Y. Song, Impulsive vaccination ofSEIR epidemic model with time delay and nonlinear incidence rate, Math. Comput. Simul. 79(3) (2008), p. 500C510.
    • (2008) Math. Comput. Simul. , vol.79 , Issue.3
    • Zhao, Z.1    Song, X.Y.2
  • 20
    • 64949153358 scopus 로고    scopus 로고
    • Analysis of a delayed SIR epidemic model with pulse vaccination
    • S.J. Gao, Z.D. Teng, and D.H. Xie, Analysis of a delayed SIR epidemic model with pulse vaccination, Chaos Solitons Fractals, 40(2) (2009), pp. 1004-1011.
    • (2009) Chaos Solitons Fractals , vol.40 , Issue.2 , pp. 1004-1011
    • Gao, S.J.1    Teng, Z.D.2    Xie, D.H.3
  • 21
    • 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
    • X.Z. Meng and L.S. Chen, Permanence and global stability in an impulsive Lotka-Volterra N-species competitive system with both discrete delays and continuous delays, Int. J. Biomath. 1(2) (2008), pp. 179-196.
    • (2008) Int. J. Biomath. , vol.1 , Issue.2 , pp. 179-196
    • Meng, X.Z.1    Chen, L.S.2
  • 22
    • 84863116571 scopus 로고    scopus 로고
    • Permanence and complexity of the eco-epidemiological model with impulsive perturbation
    • S. Sun and L.S. Chen, Permanence and complexity of the eco-epidemiological model with impulsive perturbation, Int. J. Biomath. 1(2) (2008), pp. 121-132.
    • (2008) Int. J. Biomath. , vol.1 , Issue.2 , pp. 121-132
    • Sun, S.1    Chen, L.S.2
  • 23
    • 84863116818 scopus 로고    scopus 로고
    • An impulsive predator-prey system with Beddington-Deangelis functional response and time delay
    • H. Zhang, P. Georgescu, and L.S. Chen, An impulsive predator-prey system with Beddington-Deangelis functional response and time delay, Int. J. Biomath. 1(1) (2008), pp. 1-17.
    • (2008) Int. J. Biomath. , vol.1 , Issue.1 , pp. 1-17
    • Zhang, H.1    Georgescu, P.2    Chen, L.S.3
  • 24
    • 61449161964 scopus 로고    scopus 로고
    • Existence and stability of periodic solution of a predator-prey model with state dependent impulsive effects
    • L.F. Nie, Z.D. Teng, L. Hu, and J.G. Peng, Existence and stability of periodic solution of a predator-prey model with state dependent impulsive effects, Math. Comput. Simul. 74(7) (2009), pp. 2122-2134.
    • (2009) Math. Comput. Simul. , vol.74 , Issue.7 , pp. 2122-2134
    • Nie, L.F.1    Teng, Z.D.2    Hu, L.3    Peng, J.G.4
  • 25
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulses and their population dynamic consequences
    • S.Y. Tang and L.S. Chen, Density-dependent birth rate, birth pulses and their population dynamic consequences, J. Math. Biol. 44 (2002), pp. 185-199.
    • (2002) J. Math. Biol. , vol.44 , pp. 185-199
    • Tang, S.Y.1    Chen, L.S.2
  • 26
    • 67651236992 scopus 로고    scopus 로고
    • Global stability of a stage-structure predator-prey system
    • X.Y. Song and H.J. GUO, Global stability of a stage-structure predator-prey system, Int. J. Biomath. 1(3) (2008), pp. 313-326.
    • (2008) Int. J. Biomath. , vol.1 , Issue.3 , pp. 313-326
    • Song, X.Y.1    Guo, H.J.2
  • 27
    • 0035051672 scopus 로고    scopus 로고
    • Optimal harvesting and stability for a two competitive system with stage structure
    • X.Y. Song and L.S. Chen, Optimal harvesting and stability for a two competitive system with stage structure, Math. Biosci. 170 (2001), pp. 173-186.
    • (2001) Math. Biosci. , vol.170 , pp. 173-186
    • Song, X.Y.1    Chen, L.S.2
  • 28
    • 0025132577 scopus 로고
    • A time delay model of single species growth with stage structure
    • W.G. Aiello and H.I. Freedman, A time delay model of single species growth with stage structure, Math. Biosci. 101 (1990), pp. 139-156.
    • (1990) Math. Biosci. , vol.101 , pp. 139-156
    • Aiello, W.G.1    Freedman, H.I.2
  • 29
    • 0037732498 scopus 로고    scopus 로고
    • Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator
    • S.Y. Tang and L.S. Chen, Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator, Int. J. Bifurcation Chaos 13(4) (2003), pp. 973-980.
    • (2003) Int. J. Bifurcation Chaos , vol.13 , Issue.4 , pp. 973-980
    • Tang, S.Y.1    Chen, L.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.