메뉴 건너뛰기




Volumn 40, Issue 7-8, 2016, Pages 4765-4777

Periodic solutions in a herbivore-plant system with time delay and spatial diffusion

Author keywords

Herbivore plant system; Hopf bifurcation; Periodic outbreak

Indexed keywords

DIFFUSION; LINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; TIME DELAY; TIMING CIRCUITS;

EID: 84953248005     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2015.12.003     Document Type: Article
Times cited : (84)

References (35)
  • 1
    • 0037154265 scopus 로고    scopus 로고
    • Impact of folivory on photosynthesis is greater than the sum of its holes
    • Zangerl A., Hamilton J., Miller T., et al. Impact of folivory on photosynthesis is greater than the sum of its holes. Proc. Natl. Acad. Sci. USA 2002, 99:1088-1091.
    • (2002) Proc. Natl. Acad. Sci. USA , vol.99 , pp. 1088-1091
    • Zangerl, A.1    Hamilton, J.2    Miller, T.3
  • 2
    • 0028974076 scopus 로고
    • Leaf damage decreases pollen production and hinders performance in cucurbita texana
    • Quesada M., Bollman K., Stephenson A. Leaf damage decreases pollen production and hinders performance in cucurbita texana. Ecology 1995, 76:437-443.
    • (1995) Ecology , vol.76 , pp. 437-443
    • Quesada, M.1    Bollman, K.2    Stephenson, A.3
  • 3
    • 77957207675 scopus 로고
    • Defense and dynamics in plant-herbivore systems
    • Fox L.R. Defense and dynamics in plant-herbivore systems. Amer. Zool. 1981, 21:853-864.
    • (1981) Amer. Zool. , vol.21 , pp. 853-864
    • Fox, L.R.1
  • 4
    • 41149111294 scopus 로고    scopus 로고
    • Plant-herbivore interactions mediated by plant toxicity
    • Feng Z., Liu R., DeAngelis D.L. Plant-herbivore interactions mediated by plant toxicity. Theor. Popul. Biol. 2008, 73:449-459.
    • (2008) Theor. Popul. Biol. , vol.73 , pp. 449-459
    • Feng, Z.1    Liu, R.2    DeAngelis, D.L.3
  • 8
    • 0024900230 scopus 로고
    • The effects of inducible plant defenses on herbivore populations. 1. mobile herbivores in continuous time
    • Edelstein-Keshet L., Rausher M.D. The effects of inducible plant defenses on herbivore populations. 1. mobile herbivores in continuous time. Am. Nat. 1989, 133:787-810.
    • (1989) Am. Nat. , vol.133 , pp. 787-810
    • Edelstein-Keshet, L.1    Rausher, M.D.2
  • 10
    • 0028248814 scopus 로고
    • Herbivory, inducible defence and population oscillations: a preliminary theoretical analysis
    • Lundberg S., Jaremo J., Nilsson P. Herbivory, inducible defence and population oscillations: a preliminary theoretical analysis. Oikos 1994, 71:537-540.
    • (1994) Oikos , vol.71 , pp. 537-540
    • Lundberg, S.1    Jaremo, J.2    Nilsson, P.3
  • 11
    • 0032892588 scopus 로고    scopus 로고
    • The influence of plant and herbivore characteristics on the interaction between induced resistance and herbivore population dynamics
    • Underwood N. The influence of plant and herbivore characteristics on the interaction between induced resistance and herbivore population dynamics. Am. Nat. 1999, 153:282-294.
    • (1999) Am. Nat. , vol.153 , pp. 282-294
    • Underwood, N.1
  • 12
    • 0021546429 scopus 로고
    • The abundance of invertebrate herbivores in relation to the availability of nitrogen in stressed food plants
    • White T.C.R. The abundance of invertebrate herbivores in relation to the availability of nitrogen in stressed food plants. Oecologia 1984, 63:90-105.
    • (1984) Oecologia , vol.63 , pp. 90-105
    • White, T.C.R.1
  • 13
    • 0028003350 scopus 로고
    • Spatial coupling of plant and herbivore coupling: the contribution of herbivore dispersal to transient and persistent waves of damage
    • Lewis M.A. Spatial coupling of plant and herbivore coupling: the contribution of herbivore dispersal to transient and persistent waves of damage. Theor. Popul. Biol. 1994, 45:277-312.
    • (1994) Theor. Popul. Biol. , vol.45 , pp. 277-312
    • Lewis, M.A.1
  • 14
    • 15244355123 scopus 로고    scopus 로고
    • Induced vs. constitutive resistance and the spatial distribution of herbivores among plants
    • Underwood N., Anderson K., Inouye B.D. Induced vs. constitutive resistance and the spatial distribution of herbivores among plants. Ecology 2005, 86:594-602.
    • (2005) Ecology , vol.86 , pp. 594-602
    • Underwood, N.1    Anderson, K.2    Inouye, B.D.3
  • 16
    • 0001024548 scopus 로고
    • Between the devil and the deep blue sea: on the problem of being a herbivore
    • Blackwell Scientific, Oxford
    • Lawton J.H., McNeill S. Between the devil and the deep blue sea: on the problem of being a herbivore. Population dynamics 1979, Blackwell Scientific, Oxford.
    • (1979) Population dynamics
    • Lawton, J.H.1    McNeill, S.2
  • 18
    • 0035039430 scopus 로고    scopus 로고
    • Origin of an insect outbreak: escape in space or time from natural enemies?
    • Maron J.L., Harrison S., Greaves M. Origin of an insect outbreak: escape in space or time from natural enemies?. Oecologia 2001, 126:595-602.
    • (2001) Oecologia , vol.126 , pp. 595-602
    • Maron, J.L.1    Harrison, S.2    Greaves, M.3
  • 19
    • 3142759393 scopus 로고    scopus 로고
    • The combined effects of pathogens and predators on insect outbreaks
    • Dwyer G., Dushoff J., Yee S.H. The combined effects of pathogens and predators on insect outbreaks. Oecologia 2004, 430:341-345.
    • (2004) Oecologia , vol.430 , pp. 341-345
    • Dwyer, G.1    Dushoff, J.2    Yee, S.H.3
  • 20
    • 34547877594 scopus 로고    scopus 로고
    • Food limitation and insect outbreaks: complex dynamics in plant-herbivore models
    • Abbott K.C., Dwyer G. Food limitation and insect outbreaks: complex dynamics in plant-herbivore models. J. Anim. Ecol. 2007, 76:1004-1014.
    • (2007) J. Anim. Ecol. , vol.76 , pp. 1004-1014
    • Abbott, K.C.1    Dwyer, G.2
  • 21
    • 37849042582 scopus 로고    scopus 로고
    • Simultaneous effects of food limitation and inducible resistance on herbivore populations dynamics
    • Abbott K.C., Morris W.F., Gross K. Simultaneous effects of food limitation and inducible resistance on herbivore populations dynamics. Theor. Popul. Biol. 2008, 73:63-78.
    • (2008) Theor. Popul. Biol. , vol.73 , pp. 63-78
    • Abbott, K.C.1    Morris, W.F.2    Gross, K.3
  • 23
    • 0001069111 scopus 로고
    • Periodic fluctuations in the number of animals: their causes and effects
    • Elton C.S. Periodic fluctuations in the number of animals: their causes and effects. Br. J. Exp. Biol. 1924, 2:119-163.
    • (1924) Br. J. Exp. Biol. , vol.2 , pp. 119-163
    • Elton, C.S.1
  • 24
    • 0025955110 scopus 로고
    • Traits that distinguish outbreaking and nonoutbreaking macrolepidoptera feeding on northern hardwood trees
    • Hunter A.F. Traits that distinguish outbreaking and nonoutbreaking macrolepidoptera feeding on northern hardwood trees. Oikos 1991, 60:275-282.
    • (1991) Oikos , vol.60 , pp. 275-282
    • Hunter, A.F.1
  • 26
    • 35349019754 scopus 로고    scopus 로고
    • Existence and stability of periodic solutions for parabolic systems with time delays
    • Wang C. Existence and stability of periodic solutions for parabolic systems with time delays. J. Math. Anal. Appl. 2008, 339:1354-1361.
    • (2008) J. Math. Anal. Appl. , vol.339 , pp. 1354-1361
    • Wang, C.1
  • 27
    • 77951207717 scopus 로고    scopus 로고
    • Oscillation of a class of partial functional population model
    • Wang C., Wang S., Yan X., Li L. Oscillation of a class of partial functional population model. J. Math. Anal. Appl. 2010, 368:32-42.
    • (2010) J. Math. Anal. Appl. , vol.368 , pp. 32-42
    • Wang, C.1    Wang, S.2    Yan, X.3    Li, L.4
  • 28
    • 77954029344 scopus 로고    scopus 로고
    • Global asymptotic stability of positive equilibrium of three-species lotka-volterra mutualism models with diffusion and delay effects
    • Wang C.-y., Wang S., Yang F.-p., Li L.-r. Global asymptotic stability of positive equilibrium of three-species lotka-volterra mutualism models with diffusion and delay effects. Appl. Math. Modell. 2010, 34:4278-4288.
    • (2010) Appl. Math. Modell. , vol.34 , pp. 4278-4288
    • Wang, C.-Y.1    Wang, S.2    Yang, F.-P.3    Li, L.-R.4
  • 30
    • 0000840164 scopus 로고
    • Normal form for retarded functional differential equations with parameters and applications to hopf bifurcation
    • Faria T., Magalhaes L.T. Normal form for retarded functional differential equations with parameters and applications to hopf bifurcation. J. Dif. Eq. 1995, 22:181-200.
    • (1995) J. Dif. Eq. , vol.22 , pp. 181-200
    • Faria, T.1    Magalhaes, L.T.2
  • 33
    • 38049009460 scopus 로고    scopus 로고
    • Pattern formation in a spatial s-i model with non-linear incidence rates
    • Sun G.-Q., Jin Z., Liu Q.-X., et al. Pattern formation in a spatial s-i model with non-linear incidence rates. J. Stat. Mech.: Theory Exp. 2007, 26:1-14.
    • (2007) J. Stat. Mech.: Theory Exp. , vol.26 , pp. 1-14
    • Sun, G.-Q.1    Jin, Z.2    Liu, Q.-X.3
  • 34
    • 77956201734 scopus 로고    scopus 로고
    • Effect of noise on the pattern formation in an epidemic model
    • Sun G.Q., Li L., Jin Z., et al. Effect of noise on the pattern formation in an epidemic model. Numer. Methods Partial Diff. Eq. 2009, 26:1168-1179.
    • (2009) Numer. Methods Partial Diff. Eq. , vol.26 , pp. 1168-1179
    • Sun, G.Q.1    Li, L.2    Jin, Z.3
  • 35
    • 67651005849 scopus 로고    scopus 로고
    • Nonlinear dynamic and pattern bifurcations in a model for spatial patterns in young mussel beds
    • Wang R.-H., Liu Q.-X., Sun G.-Q., et al. Nonlinear dynamic and pattern bifurcations in a model for spatial patterns in young mussel beds. J. R. Soc. Int. 2009, 6:705-718.
    • (2009) J. R. Soc. Int. , vol.6 , pp. 705-718
    • Wang, R.-H.1    Liu, Q.-X.2    Sun, G.-Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.