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Volumn 4, Issue 3, 2011, Pages 255-274

Noise and seasonal effects on the dynamics of plantherbivore models with monotonic plant growth functions

Author keywords

bistability; crisis of chaos; heteroclinic bifurcation; Monotone growth models; NeimarkSacker bifurcation; noise bursting; periodic infestations; uniformly persistent

Indexed keywords


EID: 84857607613     PISSN: 17935245     EISSN: 17937159     Source Type: Journal    
DOI: 10.1142/S1793524511001234     Document Type: Article
Times cited : (9)

References (32)
  • 1
    • 34547877594 scopus 로고    scopus 로고
    • Food limitation and insect outbreaks: Complex dynamics in plant-herbivore models
    • DOI 10.1111/j.1365-2656.2007.01263.x
    • K. C. Abbott and G. Dwyer, Food limitation and insect outbreaks: Complex dynamics in plant-herbivore models, J. Animal Ecol. 76 (2007) 1004-1014. (Pubitemid 47262773)
    • (2007) Journal of Animal Ecology , vol.76 , Issue.5 , pp. 1004-1014
    • Abbott, K.C.1    Dwyer, G.2
  • 2
    • 0016740371 scopus 로고
    • Dynamic complexity in predator-prey models framed in difference equations
    • London
    • J. R. Beddington, C. A. Free and J. H. Lawton, Dynamic complexity in predator-prey models framed in difference equations, Nature (London) 225 (1975) 58-60.
    • (1975) Nature , vol.225 , pp. 58-60
    • Beddington, J.R.1    Free, C.A.2    Lawton, J.H.3
  • 3
    • 0001510308 scopus 로고    scopus 로고
    • On the dynamics of exploited fish populations Gt. Britain
    • R. J. H. Beverton and S. J. Holt, On the dynamics of exploited, Fish Populations Gt. Britain, Fishery Invest., Ser. II, Vol. XIX, 533.
    • Fishery Invest., Ser. II , vol.19 , pp. 533
    • Beverton, R.J.H.1    Holt, S.J.2
  • 4
    • 0029415017 scopus 로고
    • Unexpected dominance of high frequencies in chaotic nonlinear population models
    • DOI 10.1038/378610a0
    • J. E. Cohen, Unexpected dominance of high frequencies in chaotic nonlinear population models, Nature 378 (1995) 610-612. (Pubitemid 26454083)
    • (1995) Nature , vol.378 , Issue.6557 , pp. 610-612
    • Cohen, J.E.1
  • 6
    • 0025526765 scopus 로고
    • The population dynamics of plants [and discussion]
    • M. J. Crawley and G. J. S. Ross, The population dynamics of plants [and discussion], Philos. Trans. Biol. Sci. 330(1257) (1990) 125-140.
    • (1990) Philos. Trans. Biol. Sci. , vol.330 , Issue.1257 , pp. 125-140
    • Crawley, M.J.1    Ross, G.J.S.Q.2
  • 7
    • 0011829541 scopus 로고    scopus 로고
    • Global dynamics of some periodically forced, monotone difference equations
    • J. M. Cushing and S. M. Henson, Global dynamics of some periodically forced, monotone difference equations, J. Difference Eqs. Appl. 7 (2001) 859-872.
    • (2001) J. Difference Eqs. Appl. , vol.7 , pp. 859-872
    • Cushing, J.M.1    Henson, S.M.2
  • 9
    • 0009077570 scopus 로고
    • Sensitive dependence on initial conditions for unimodal maps
    • J. Guckenheimer, Sensitive dependence on initial conditions for unimodal maps, Commun. Math. Phys. 70 (1979) 133-160.
    • (1979) Commun. Math. Phys. , vol.70 , pp. 133-160
    • Guckenheimer, J.1
  • 11
    • 0000348814 scopus 로고    scopus 로고
    • Hierarchical models of intra-specific competition: Scramble versus contest
    • S. M. Henson and J. Cushing, Hierarchical models of intra-specific competition: Scramble versus contest, J. Math. Biol. 34 (1996) 1416-1432.
    • (1996) J. Math. Biol. , vol.34 , pp. 1416-1432
    • Henson, S.M.1    Cushing, J.2
  • 12
    • 0023516861 scopus 로고
    • Coexistence for systems governed by difference equations of Lotka-Volterra type
    • J. Hofbauer, V. Hutson and W. Jansen, Coexistence for systems governed by difference equations of Lotka-Volterra type, J. Math. Biol. 25 (1987) 553-570.
    • (1987) J. Math. Biol. , vol.25 , pp. 553-570
    • Hofbauer, J.1    Hutson, V.2    Jansen, W.3
  • 13
    • 84966222841 scopus 로고
    • Uniform persistence and repellors for maps
    • J. Hofbauer and J. W.-H. So, Uniform persistence and repellors for maps, Proc. Amer. Math. Soc. 107 (1989) 1137-1142.
    • (1989) Proc. Amer. Math. Soc. , vol.107 , pp. 1137-1142
    • Hofbauer, J.1    So, J.W.-H.2
  • 14
    • 0001439703 scopus 로고
    • A theorem on average Liapunov functions
    • V. Hutson, A theorem on average Liapunov functions, Monatsh. Math. 98 (1984) 267-275.
    • (1984) Monatsh. Math. , vol.98 , pp. 267-275
    • Hutson, V.1
  • 15
    • 33645778833 scopus 로고    scopus 로고
    • Allee effects in a discrete-time host-parasitoid model
    • DOI 10.1080/10236190500539238, PII Q52462353821654
    • S. R.-J. Jang, Allee effects in a discrete-time host-parasitoid model, J. Difference Eqs. Appl. 12 (2006) 165-181. (Pubitemid 43553735)
    • (2006) Journal of Difference Equations and Applications , vol.12 , Issue.2 , pp. 165-181
    • Jang, S.R.-J.1
  • 16
    • 69249178958 scopus 로고    scopus 로고
    • Dynamics of a plant-herbivore model
    • Y. Kang, D. Armbruster and Y. Kuang, Dynamics of a plant-herbivore model, J. Biol. Dynamics 2(2) (2008) 89-101.
    • (2008) J. Biol. Dynamics , vol.2 , Issue.2 , pp. 89-101
    • Kang, Y.1    Armbruster, D.2    Kuang, Y.3
  • 17
    • 77953962139 scopus 로고    scopus 로고
    • Relative nonlinearity and permanence
    • Y. Kang and P. Chesson, Relative nonlinearity and permanence, Theor. Popul. Biol. 78 (2010) 26-35.
    • (2010) Theor. Popul. Biol. , vol.78 , pp. 26-35
    • Kang, Y.1    Chesson, P.2
  • 19
    • 6044221766 scopus 로고    scopus 로고
    • Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points
    • DOI 10.1007/s00285-003-0224-8
    • R. Kon, Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points, J. Math. Biol. 48 (2004) 57-81. (Pubitemid 40876319)
    • (2004) Journal of Mathematical Biology , vol.48 , Issue.1 , pp. 57-81
    • Kon, R.1
  • 20
    • 33646841838 scopus 로고    scopus 로고
    • Multiple attractors in host-parasitoid interactions: Coexistence and extinction
    • DOI 10.1016/j.mbs.2005.12.010, PII S0025556405002270
    • R. Kon, Multiple attractors in host-parasitoid interactions: Coexistence and extinction, Math. Biosci. 201(1-2) (2006) 172-183. (Pubitemid 43776245)
    • (2006) Mathematical Biosciences , vol.201 , Issue.1-2 , pp. 172-183
    • Kon, R.1
  • 21
    • 0023486498 scopus 로고
    • Response-surface analysis of two-species competition: An experiment on phleum arenarium and vulpia fasciculata
    • R. Law and A. R. Watkinson, Response-surface analysis of two-species competition: An experiment on phleum arenarium and vulpia fasciculata, J. Ecol. 75(3) (1987) 871-886.
    • (1987) J. Ecol. , vol.75 , Issue.3 , pp. 871-886
    • Law, R.1    Watkinson, A.R.2
  • 22
    • 53349095306 scopus 로고    scopus 로고
    • Cyclicity and Synchrony of Historical Outbreaks of the Beech Caterpillar, Quadricalcarifera punctatella (Motschulsky) in Japan
    • A. M. Liebhold, N. Kamata and T. Jacob, Cyclicity and synchrony of historical outbreaks of the beech caterpillar, Quadricalcarifera punctatella (Motschulsky) in Japan, Res. Popul. Ecol. 38(1) (1996) 87-94. (Pubitemid 126499555)
    • (1996) Researches on Population Ecology , vol.38 , Issue.1 , pp. 87-94
    • Liebhold, A.1    Kamata, N.2    Jacob, T.3
  • 23
    • 0000419742 scopus 로고
    • The kinetics of functional response
    • L. A. Real, The kinetics of functional response, Amer. Nat. 111 (1977) 289-300.
    • (1977) Amer. Nat. , vol.111 , pp. 289-300
    • Real, L.A.1
  • 25
    • 0035201576 scopus 로고    scopus 로고
    • Evidence of peak-to-peak dynamics in ecology
    • S. Rinaldi, M. Candaten and R. Casagrandi, Evidence of peak-to-peak dynamics in ecology, Ecol. Lett. 4(6) (2001).
    • (2001) Ecol. Lett. , vol.4 , pp. 6
    • Rinaldi, S.1    Candaten, M.2    Casagrandi, R.3
  • 28
    • 84857544298 scopus 로고    scopus 로고
    • Dynamical systems and population persistence
    • H. L. Smith and H. R. Thieme, Dynamical systems and population persistence, in preparation.
    • Preparation
    • Smith, H.L.1    Thieme, H.R.2
  • 30
    • 0036489550 scopus 로고    scopus 로고
    • Chaos in functional response host-parasitoid ecosystem models
    • DOI 10.1016/S0960-0779(01)00063-7, PII S0960077901000637
    • S. Tang and L. Chen, Chaos in functional response host-parasitoid ecosystem models, Chaos Solitons Fractals 13 (2002) 875-884. (Pubitemid 32951333)
    • (2002) Chaos, Solitons and Fractals , vol.13 , Issue.4 , pp. 875-884
    • Tang, S.1    Chen, L.2
  • 31
    • 0031735084 scopus 로고    scopus 로고
    • Evolution of contest competition and its effect on host-parasitoid dynamics
    • DOI 10.1023/A:1006550817371
    • M. Tuda and Y. Iwasa, Evolution of contest competition and its effect on hostparasitoid dynamics, Evol. Ecol. 12 (1998) 855-870. (Pubitemid 28547931)
    • (1998) Evolutionary Ecology , vol.12 , Issue.7 , pp. 855-870
    • Tuda, M.1    Iwasa, Y.2
  • 32
    • 0000588573 scopus 로고
    • Density-dependence in single-species populations of plants
    • A. R. Watkinson, Density-dependence in single-species populations of plants, J. Theor. Biol. 83 (1980) 345-357.
    • (1980) J. Theor. Biol. , vol.83 , pp. 345-357
    • Watkinson, A.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.