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Volumn 5, Issue 2, 2012, Pages

Dynamics of a diffusive predatorprey model with additive allee effect

Author keywords

Allee effect; global stability; Hopf bifurcation; predatorprey model

Indexed keywords


EID: 84863277447     PISSN: 17935245     EISSN: 17937159     Source Type: Journal    
DOI: 10.1142/S1793524511001659     Document Type: Article
Times cited : (21)

References (23)
  • 1
    • 60549088086 scopus 로고    scopus 로고
    • Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
    • P. Aguirre, E. González-Olivares and E. Sáez, Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect, Nonlinear Anal. Real World Appl. 10 (2009) 1401-1416.
    • (2009) Nonlinear Anal. Real World Appl. , vol.10 , pp. 1401-1416
    • Aguirre, P.1    González-Olivares, E.2    Sáez, E.3
  • 2
    • 62249178637 scopus 로고    scopus 로고
    • Three limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
    • P. Aguirre, E. González-Olivares and E. Sáez, Three limit cycles in a Leslie-Gower predator-prey model with additive Allee effect, SIAM J. Appl. Math. 69 (2009) 1244-1269.
    • (2009) SIAM J. Appl. Math. , vol.69 , pp. 1244-1269
    • Aguirre, P.1    González-Olivares, E.2    Sáez, E.3
  • 4
    • 33947307582 scopus 로고    scopus 로고
    • Multiple Allee effects and population management
    • DOI 10.1016/j.tree.2006.12.002, PII S0169534706003818
    • L. Berec, E. Angulo and F. Courchamp, Multiple Allee effects and population management, Trends Ecol. Evol. 22 (2007) 185-191. (Pubitemid 46437275)
    • (2007) Trends in Ecology and Evolution , vol.22 , Issue.4 , pp. 185-191
    • Berec, L.1    Angulo, E.2    Courchamp, F.3
  • 5
    • 34249935507 scopus 로고    scopus 로고
    • How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
    • DOI 10.1016/j.tpb.2006.12.003, PII S0040580906001687
    • D. S. Boukal, M. W. Sabelis and L. Berec, How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses, Theor. Popul. Biol. 72 (2007) 136-147. (Pubitemid 46879817)
    • (2007) Theoretical Population Biology , vol.72 , Issue.1 , pp. 136-147
    • Boukal, D.S.1    Sabelis, M.W.2    Berec, L.3
  • 8
    • 36148940895 scopus 로고    scopus 로고
    • Allee effect and bistability in a spatially heterogeneous predator-prey model
    • Y. Du and J. Shi, Allee effect and bistability in a spatially heterogeneous predator-prey model, Trans. Amer. Math. Soc. 359 (2007) 4557-4593.
    • (2007) Trans. Amer. Math. Soc. , vol.359 , pp. 4557-4593
    • Du, Y.1    Shi, J.2
  • 9
    • 5344241281 scopus 로고    scopus 로고
    • Allee effects driven by predation
    • DOI 10.1111/j.0021-8901.2004.00944.x
    • J. C. Gascoigne and R. N. Lipcius, Allee effects driven by predation, J. Appl. Ecol. 41 (2004) 801-810. (Pubitemid 39348275)
    • (2004) Journal of Applied Ecology , vol.41 , Issue.5 , pp. 801-810
    • Gascoigne, J.C.1    Lipcius, R.N.2
  • 10
    • 0018102678 scopus 로고
    • On global stability of a predator-prey system
    • DOI 10.1016/0025-5564(78)90025-1
    • S. B. Hsu, On global stability of a predator-prey system, Math. Biosci. 39 (1978) 1-10. (Pubitemid 8345272)
    • (1978) Mathematical Biosciences , vol.39 , Issue.1-2 , pp. 1-10
    • Hsu, S.B.1
  • 11
    • 0037446297 scopus 로고    scopus 로고
    • Consequences for predators of rescue and Allee effects on prey
    • DOI 10.1016/S0304-3800(02)00343-5, PII S0304380002003435
    • A. Kent, C. Patrick Doncaster and T. Sluckin, Consequences for predators of rescue and Allee effects on prey, Ecol. Model. 162 (2003) 233-245. (Pubitemid 36400306)
    • (2003) Ecological Modelling , vol.162 , Issue.3 , pp. 233-245
    • Kent, A.1    Doncaster, C.P.2    Sluckin, T.3
  • 13
    • 28444465570 scopus 로고    scopus 로고
    • Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect
    • DOI 10.1016/j.jtbi.2005.05.021, PII S0022519305002237
    • A. Morozov, S. Petrovskii and B. L. Li, Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect, J. Theor. Biol. 238 (2006) 18-35. (Pubitemid 41737794)
    • (2006) Journal of Theoretical Biology , vol.238 , Issue.1 , pp. 18-35
    • Morozov, A.1    Petrovskii, S.2    Li, B.-L.3
  • 14
    • 0001100811 scopus 로고
    • Discussion: Turing's theory of morphogenesis - Its influence on modelling biological pattern and form
    • J. D. Murray, Discussion: Turing's theory of morphogenesis - its influence on modelling biological pattern and form, Bull. Math. Biol. 52 (1990) 117-152.
    • (1990) Bull. Math. Biol. , vol.52 , pp. 117-152
    • Murray, J.D.1
  • 15
    • 16344366772 scopus 로고    scopus 로고
    • Regimes of biological invasion in a predator-prey system with the Allee effect
    • DOI 10.1016/j.bulm.2004.09.003
    • S. Petrovskii, A. Morozov and B. L. Li, Regimes of biological invasion in a predator-prey system with the Allee effect, Bull. Math. Biol. 67 (2005) 637-661. (Pubitemid 40466388)
    • (2005) Bulletin of Mathematical Biology , vol.67 , Issue.3 , pp. 637-661
    • Petrovskii, S.1    Morozov, A.2    Li, B.-L.3
  • 16
    • 0036113356 scopus 로고    scopus 로고
    • Allee effect makes possible patchy invasion in a predator-prey system
    • DOI 10.1046/j.1461-0248.2002.00324.x
    • S. V. Petrovskii, A. Y. Morozov and E. Venturino, Allee effect makes possible patchy invasion in a predator-prey system, Ecol. Lett. 5 (2002) 345-352. (Pubitemid 34523101)
    • (2002) Ecology Letters , vol.5 , Issue.3 , pp. 345-352
    • Petrovskii, S.V.1    Morozov, A.Y.2    Venturino, E.3
  • 17
    • 0033592245 scopus 로고    scopus 로고
    • Allee effect increases the dynamical stability of populations
    • DOI 10.1006/jtbi.1999.0966
    • I. Scheuring, Allee effect increases the dynamical stability of populations, J. Theor. Biol. 199 (1999) 407-414. (Pubitemid 29417783)
    • (1999) Journal of Theoretical Biology , vol.199 , Issue.4 , pp. 407-414
    • Scheuring, I.1
  • 18
    • 33646715121 scopus 로고    scopus 로고
    • Persistence in reaction diffusion models with weak allee effect
    • DOI 10.1007/s00285-006-0373-7
    • J. Shi and R. Shivaji, Persistence in reaction diffusion models with weak Allee effect, J. Math. Biol. 52 (2006) 807-829. (Pubitemid 43735798)
    • (2006) Journal of Mathematical Biology , vol.52 , Issue.6 , pp. 807-829
    • Shi, J.1    Shivaji, R.2
  • 20
    • 34548565990 scopus 로고    scopus 로고
    • Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect
    • DOI 10.1016/j.mbs.2007.02.006, PII S0025556407000363
    • G. A. K. van Voorn, L. Hemerik, M. P. Boer and B. W. Kooi, Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect, Math. Biosci. 209 (2007) 451-469. (Pubitemid 47390913)
    • (2007) Mathematical Biosciences , vol.209 , Issue.2 , pp. 451-469
    • Van Voorn, G.A.K.1    Hemerik, L.2    Boer, M.P.3    Kooi, B.W.4
  • 21
    • 79951508642 scopus 로고    scopus 로고
    • Predator-prey system with strong Allee effect in prey
    • J. Wang, J. Shi and J. Wei, Predator-prey system with strong Allee effect in prey, J. Math. Biol. 62 (2011) 291-331.
    • (2011) J. Math. Biol. , vol.62 , pp. 291-331
    • Wang, J.1    Shi, J.2    Wei, J.3
  • 22
    • 0035012881 scopus 로고    scopus 로고
    • Speeds of invasion in a model with strong or weak Allee effects
    • DOI 10.1016/S0025-5564(01)00048-7, PII S0025556401000487
    • M. H. Wang and M. Kot, Speeds of invasion in a model with strong or weak Allee effects, Math. Biosci. 171 (2001) 83-97. (Pubitemid 32429044)
    • (2001) Mathematical Biosciences , vol.171 , Issue.1 , pp. 83-97
    • Wang, M.-H.1    Kot, M.2
  • 23
    • 11844279070 scopus 로고    scopus 로고
    • The stability of predator-prey systems subject to the Allee effects
    • DOI 10.1016/j.tpb.2004.06.007, PII S0040580904000760
    • S. R. Zhou, Y. F. Liu and G. Wang, The stability of predator-prey systems subject to the Allee effects, Theor. Popul. Biol. 67 (2005) 23-31. (Pubitemid 40084670)
    • (2005) Theoretical Population Biology , vol.67 , Issue.1 , pp. 23-31
    • Zhou, S.-R.1    Liu, Y.-F.2    Wang, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.