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Volumn 257, Issue 1, 2014, Pages 145-166

The spreading front of invasive species in favorable habitat or unfavorable habitat

Author keywords

Favorable habitat; Free boundary; Logistic model; Primary; Reaction diffusion systems; Secondary; Spreading

Indexed keywords


EID: 84899653876     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2014.03.015     Document Type: Article
Times cited : (65)

References (34)
  • 1
    • 44449127242 scopus 로고    scopus 로고
    • Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
    • Allen L.J.S., Bolker B.M., Lou Y., Nevai A.L. Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Discrete Contin. Dyn. Syst. Ser. A 2008, 21:1-20.
    • (2008) Discrete Contin. Dyn. Syst. Ser. A , vol.21 , pp. 1-20
    • Allen, L.J.S.1    Bolker, B.M.2    Lou, Y.3    Nevai, A.L.4
  • 2
    • 2942630398 scopus 로고    scopus 로고
    • Spatial Ecology via Reaction-Diffusion Equations
    • John Wiley and Sons Ltd., Chichester, UK
    • Cantrell R.S., Cosner C. Spatial Ecology via Reaction-Diffusion Equations. Ser. Math. Comput. Biol. 2003, John Wiley and Sons Ltd., Chichester, UK.
    • (2003) Ser. Math. Comput. Biol.
    • Cantrell, R.S.1    Cosner, C.2
  • 3
    • 0000883114 scopus 로고
    • Diffusive logistic equations with indefinite weights: population models in a disrupted environments
    • Cantrell R.S., Cosner C. Diffusive logistic equations with indefinite weights: population models in a disrupted environments. Proc. Roy. Soc. Edinburgh Sect. A 1989, 112:293-318.
    • (1989) Proc. Roy. Soc. Edinburgh Sect. A , vol.112 , pp. 293-318
    • Cantrell, R.S.1    Cosner, C.2
  • 4
    • 0034353709 scopus 로고    scopus 로고
    • A free boundary problem arising in a model of wound healing
    • Chen X.F., Friedman A. A free boundary problem arising in a model of wound healing. SIAM J. Math. Anal. 2000, 32:778-800.
    • (2000) SIAM J. Math. Anal. , vol.32 , pp. 778-800
    • Chen, X.F.1    Friedman, A.2
  • 5
    • 1342327647 scopus 로고    scopus 로고
    • Positive solutions for logistic type quasilinear elliptic equations on Rn
    • Dong W. Positive solutions for logistic type quasilinear elliptic equations on Rn. J. Math. Anal. Appl. 2004, 290:469-480.
    • (2004) J. Math. Anal. Appl. , vol.290 , pp. 469-480
    • Dong, W.1
  • 6
    • 79954633426 scopus 로고    scopus 로고
    • Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary, II
    • Du Y.H., Guo Z.M. Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary, II. J. Differential Equations 2011, 250:4336-4366.
    • (2011) J. Differential Equations , vol.250 , pp. 4336-4366
    • Du, Y.H.1    Guo, Z.M.2
  • 7
    • 77955814290 scopus 로고    scopus 로고
    • Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary
    • Du Y.H., Lin Z.G. Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. SIAM J. Math. Anal. 2010, 42:377-405.
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 377-405
    • Du, Y.H.1    Lin, Z.G.2
  • 8
    • 84884789689 scopus 로고    scopus 로고
    • Erratum: Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary
    • Du Y.H., Lin Z.G. Erratum: Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. SIAM J. Math. Anal. 2013, 45:1995-1996.
    • (2013) SIAM J. Math. Anal. , vol.45 , pp. 1995-1996
    • Du, Y.H.1    Lin, Z.G.2
  • 9
    • 84907486785 scopus 로고    scopus 로고
    • The diffusive competition model with a free boundary: invasion of a superior or inferior competitor
    • in press arxiv:1303.0454
    • Du Y.H., Lin Z.G. The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Discrete Contin. Dyn. Syst. Ser. B 2014, in press. arxiv:1303.0454.
    • (2014) Discrete Contin. Dyn. Syst. Ser. B
    • Du, Y.H.1    Lin, Z.G.2
  • 10
    • 84881375787 scopus 로고    scopus 로고
    • A diffusive logistic model with a free boundary in time-periodic environment
    • Du Y.H., Guo Z.M., Peng R. A diffusive logistic model with a free boundary in time-periodic environment. J. Funct. Anal. 2013, 265:2089-2142.
    • (2013) J. Funct. Anal. , vol.265 , pp. 2089-2142
    • Du, Y.H.1    Guo, Z.M.2    Peng, R.3
  • 12
    • 0000130586 scopus 로고    scopus 로고
    • Logistic type equations on RN by a squeezing method involving boundary blow-up solutions
    • Du Y.H., Ma L. Logistic type equations on RN by a squeezing method involving boundary blow-up solutions. J. Lond. Math. Soc. (2) 2001, 64:107-124.
    • (2001) J. Lond. Math. Soc. (2) , vol.64 , pp. 107-124
    • Du, Y.H.1    Ma, L.2
  • 13
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • Fisher R.A. The wave of advance of advantageous genes. Ann. Eugenics 1937, 7:335-369.
    • (1937) Ann. Eugenics , vol.7 , pp. 335-369
    • Fisher, R.A.1
  • 14
    • 84899629876 scopus 로고    scopus 로고
    • Different asymptotic spreading speeds induced by advection in a diffusion problem with free boundaries
    • in press arxiv:1302.6345
    • Gu H., Lin Z.G., Lou B.D. Different asymptotic spreading speeds induced by advection in a diffusion problem with free boundaries. Proc. Amer. Math. Soc. 2014, in press. arxiv:1302.6345.
    • (2014) Proc. Amer. Math. Soc.
    • Gu, H.1    Lin, Z.G.2    Lou, B.D.3
  • 15
    • 84870325576 scopus 로고    scopus 로고
    • On a free boundary problem for a two-species weak competition system
    • Guo J.S., Wu C.H. On a free boundary problem for a two-species weak competition system. J. Dynam. Differential Equations 2012, 24(4):873-895.
    • (2012) J. Dynam. Differential Equations , vol.24 , Issue.4 , pp. 873-895
    • Guo, J.S.1    Wu, C.H.2
  • 16
    • 77954643852 scopus 로고    scopus 로고
    • Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
    • Huang W., Han M., Liu K. Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Math. Biosci. Eng. 2010, 7:51-66.
    • (2010) Math. Biosci. Eng. , vol.7 , pp. 51-66
    • Huang, W.1    Han, M.2    Liu, K.3
  • 17
    • 84879304733 scopus 로고    scopus 로고
    • A free boundary problem for a reaction-diffusion equation appearing in ecology
    • Kaneko Y., Yamada Y. A free boundary problem for a reaction-diffusion equation appearing in ecology. Adv. Math. Sci. Appl. 2011, 21:467-492.
    • (2011) Adv. Math. Sci. Appl. , vol.21 , pp. 467-492
    • Kaneko, Y.1    Yamada, Y.2
  • 18
    • 0002722044 scopus 로고
    • Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique
    • English transl., Academic Press, P. Pelcé (Ed.) Dynamics of Curved Fronts
    • Kolmogorov A.N., Petrovsky I.G., Piskunov N.S. Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique. Bull. Univ. Moscou Sér. Internat. 1988, A1:105-130. English transl., Academic Press. P. Pelcé (Ed.).
    • (1988) Bull. Univ. Moscou Sér. Internat. , vol.A1 , pp. 105-130
    • Kolmogorov, A.N.1    Petrovsky, I.G.2    Piskunov, N.S.3
  • 19
    • 84870371015 scopus 로고    scopus 로고
    • The free boundary problem describing information diffusion in online social networks
    • Lei C.X., Lin Z.G., Wang H.Y. The free boundary problem describing information diffusion in online social networks. J. Differential Equations 2013, 254:1326-1341.
    • (2013) J. Differential Equations , vol.254 , pp. 1326-1341
    • Lei, C.X.1    Lin, Z.G.2    Wang, H.Y.3
  • 20
    • 43149083498 scopus 로고    scopus 로고
    • Some challenging mathematical problems in evolution of dispersal and population dynamics
    • Lou Y. Some challenging mathematical problems in evolution of dispersal and population dynamics. Tutor. Math. Biosci. IV: Evol. Ecol. 2008, 171-205.
    • (2008) Tutor. Math. Biosci. IV: Evol. Ecol. , pp. 171-205
    • Lou, Y.1
  • 21
    • 34547492347 scopus 로고    scopus 로고
    • A free boundary problem for a predator-prey model
    • Lin Z.G. A free boundary problem for a predator-prey model. Nonlinearity 2007, 20:1883-1892.
    • (2007) Nonlinearity , vol.20 , pp. 1883-1892
    • Lin, Z.G.1
  • 26
    • 84872151254 scopus 로고    scopus 로고
    • The diffusive logistic model with a free boundary and seasonal succession
    • Peng R., Zhao X.Q. The diffusive logistic model with a free boundary and seasonal succession. Discrete Contin. Dyn. Syst. Ser. A 2013, 33(5):2007-2031.
    • (2013) Discrete Contin. Dyn. Syst. Ser. A , vol.33 , Issue.5 , pp. 2007-2031
    • Peng, R.1    Zhao, X.Q.2
  • 28
    • 0001314482 scopus 로고
    • Monotone methods in nonlinear elliptic and parabolic boundary value problems
    • Sattinger D.H. Monotone methods in nonlinear elliptic and parabolic boundary value problems. Indiana Univ. Math. J. 1972, 21:979-1000.
    • (1972) Indiana Univ. Math. J. , vol.21 , pp. 979-1000
    • Sattinger, D.H.1
  • 29
    • 0009636209 scopus 로고
    • Random dispersal in theoretical populations
    • Skellam J.G. Random dispersal in theoretical populations. Biometrika 1951, 38:196-218.
    • (1951) Biometrika , vol.38 , pp. 196-218
    • Skellam, J.G.1
  • 30
    • 0004016238 scopus 로고    scopus 로고
    • Biological Invasions: Theory and Practice
    • Oxford Univ. Press, Oxford
    • Shigesada N., Kawasaki K. Biological Invasions: Theory and Practice. Oxford Ser. Ecol. Evol. 1997, Oxford Univ. Press, Oxford.
    • (1997) Oxford Ser. Ecol. Evol.
    • Shigesada, N.1    Kawasaki, K.2
  • 34
    • 84892478497 scopus 로고    scopus 로고
    • The diffusive logistic model with a free boundary in heterogeneous environment
    • Zhou P., Xiao D.M. The diffusive logistic model with a free boundary in heterogeneous environment. J. Differential Equations 2014, 256:1927-1954.
    • (2014) J. Differential Equations , vol.256 , pp. 1927-1954
    • Zhou, P.1    Xiao, D.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.