메뉴 건너뛰기




Volumn 33, Issue 5, 2013, Pages 2007-2031

The diffusive logistic model with a free boundary and seasonal succession

Author keywords

Diffusive logistic equation; Free boundary; Seasonal succession; Spreading; Vanishing

Indexed keywords


EID: 84872151254     PISSN: 10780947     EISSN: 15535231     Source Type: Journal    
DOI: 10.3934/dcds.2013.33.2007     Document Type: Article
Times cited : (94)

References (22)
  • 1
    • 0002488752 scopus 로고
    • Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
    • "Partial Differential Equations and Related Topics", Springer, Berlin
    • D. G. Aronson and H. F. Weinberger, Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation, in "Partial Differential Equations and Related Topics" Lecture Notes in Math., 446, Springer, Berlin, (1975), 5-49.
    • (1975) Lecture Notes in Math. , vol.446 , pp. 5-49
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusions arising in population genetics
    • D. G. Aronson and H. F. Weinberger, Multidimensional nonlinear diffusions arising in population genetics, Adv. Math., 30 (1978), 33-76.
    • (1978) Adv. Math. , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 4
    • 0034353709 scopus 로고    scopus 로고
    • A free boundary problem arising in a model of wound healing
    • X. F. Chen and A. Friedman, A free boundary problem arising in a model of wound healing, SIAM J. Math. Anal., 32 (2000), 778-800.
    • (2000) SIAM J. Math. Anal. , vol.32 , pp. 778-800
    • Chen, X.F.1    Friedman, A.2
  • 5
    • 84855243223 scopus 로고    scopus 로고
    • Competition dynamics in a seasionally varying wetland
    • Chapter 1, (Eds. S. Cantrell, C. Cosner and S. Ruan), CRC Press, Chapman and Hall
    • D. L. DeAngelis, J. C. Trexler and D. D. Donalson, "Competition Dynamics in a Seasionally Varying Wetland," Chapter 1, 1-13, in "Spatial Ecology" (Eds. S. Cantrell, C. Cosner and S. Ruan), CRC Press, Chapman and Hall, (2009).
    • (2009) Spatial Ecology , pp. 1-13
    • Deangelis, D.L.1    Trexler, J.C.2    Donalson, D.D.3
  • 6
    • 79954633426 scopus 로고    scopus 로고
    • Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary II
    • Y. Du and Z. M. Guo, Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary II, J. Differential Equations, 250 (2011), 4336-4366.
    • (2011) J. Differential Equations , vol.250 , pp. 4336-4366
    • Du, Y.1    Guo, Z.M.2
  • 8
    • 77955814290 scopus 로고    scopus 로고
    • Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary
    • Y. Du and Z. G. Lin, Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary, SIAM J. Math. Anal., 42 (2010), 377-405.
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 377-405
    • Du, Y.1
  • 9
    • 0024221182 scopus 로고
    • Waterfowl communities and seasonal environments: Temporal variabolity in interspecific competition
    • P. J. DuBowy, Waterfowl communities and seasonal environments: Temporal variabolity in interspecific competition, Ecology, 69 (1988), 1439-1453.
    • (1988) Ecology , vol.69 , pp. 1439-1453
    • Dubowy, P.J.1
  • 10
    • 84855233725 scopus 로고    scopus 로고
    • A Lotka-Volterra competition model with seasonal succession
    • S.-B. Hsu and X.-Q. Zhao, A Lotka-Volterra competition model with seasonal succession, J. Math. Biol., 64 (2012), 109-130.
    • (2012) J. Math. Biol. , vol.64 , pp. 109-130
    • Hsu, S.-B.1    Zhao, X.-Q.2
  • 11
    • 0028980874 scopus 로고
    • Seasonal succession and the strength of intra- and interspecific competition in a Daphnia assemblage
    • S. S. Hu and A. J. Tessier, Seasonal succession and the strength of intra- and interspecific competition in a Daphnia assemblage, Ecology, 76 (1995), 2278-2294.
    • (1995) Ecology , vol.76 , pp. 2278-2294
    • Hu, S.S.1    Tessier, A.J.2
  • 13
    • 33748781174 scopus 로고    scopus 로고
    • Spreading speeds and traveling waves for periodic evolution systems
    • X. Liang, Y. Yi and X.-Q. Zhao, Spreading speeds and traveling waves for periodic evolution systems, J. Differential Equations, 231 (2006), 57-77.
    • (2006) J. Differential Equations , vol.231 , pp. 57-77
    • Liang, X.1    Yi, Y.2    Zhao, X.-Q.3
  • 14
    • 33751552431 scopus 로고    scopus 로고
    • Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
    • X. Liang and X.-Q. Zhao, Asymptotic speeds of spread and traveling waves for monotone semiflows with applications, Comm. Pure Appl. Math., 60 (2007), 1-40.
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 1-40
    • Liang, X.1    Zhao, X.-Q.2
  • 15
    • 34547492347 scopus 로고    scopus 로고
    • A free boundary problem for a predator-prey model
    • Z. G. Lin, A free boundary problem for a predator-prey model, Nonlinearity, 20 (2007), 1883-1892.
    • (2007) Nonlinearity , vol.20 , pp. 1883-1892
    • Lin, Z.G.1
  • 16
    • 0035117040 scopus 로고    scopus 로고
    • Competition of phytoplankton under fluctuating light
    • E. Litchman and C. A. Klausmeier, Competition of phytoplankton under fluctuating light, American Naturalist, 157 (2001), 170-187.
    • (2001) American Naturalist , vol.157 , pp. 170-187
    • Litchman, E.1    Klausmeier, C.A.2
  • 19
    • 68849125296 scopus 로고    scopus 로고
    • The principal eigenvalue of a space-time periodic parabolic operator
    • G. Nadin, The principal eigenvalue of a space-time periodic parabolic operator, Ann. Mat. Pura Appl., 188 (2009), 269-295.
    • (2009) Ann. Mat. Pura Appl. , vol.188 , pp. 269-295
    • Nadin, G.1
  • 21
    • 0001047828 scopus 로고
    • Long-time behavior of a class of biological models
    • H. F. Weinberger, Long-time behavior of a class of biological models, SIAM J. Math. Anal., 13 (1982), 353-396.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 353-396
    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.