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Volumn 183, Issue 3-4, 2003, Pages 245-259

Analytic solutions of a nonlinear convective equation in population dynamics

Author keywords

Convection; Fisher equation; Logistic Nonlinearity; Transport in biological systems

Indexed keywords

BACTERIA; DIFFUSION; POPULATION STATISTICS;

EID: 0042511003     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00176-3     Document Type: Article
Times cited : (16)

References (21)
  • 1
    • 0034211858 scopus 로고    scopus 로고
    • Cooperative self-organization of microorganisms
    • Ben-Jacob E., Cohen I., Levine H., Cooperative self-organization of microorganisms. Adv. Phys. 49:2000;395-554.
    • (2000) Adv. Phys. , vol.49 , pp. 395-554
    • Ben-Jacob, E.1    Cohen, I.2    Levine, H.3
  • 2
    • 21344478362 scopus 로고
    • Experimental investigation on the validity of population dynamics approach to bacterial colony formation
    • Wakita J., Komatsu K., Nakahara A., Matsuyama T., Matsushita M., Experimental investigation on the validity of population dynamics approach to bacterial colony formation. J. Phys. Soc. Jpn. 63:1994;1205-1211.
    • (1994) J. Phys. Soc. Jpn. , vol.63 , pp. 1205-1211
    • Wakita, J.1    Komatsu, K.2    Nakahara, A.3    Matsuyama, T.4    Matsushita, M.5
  • 5
    • 0001741961 scopus 로고    scopus 로고
    • Non-Hermitian localization and population biology
    • Nelson D.R., Shnerb N.M., Non-Hermitian localization and population biology. Phys. Rev. E. 58:1998;1383-1403 Dahmen K.A., Nelson D.R., Shnerb N.M., Life and death near a windy oasis. J. Math. Biol. 41:2000;1-23.
    • (1998) Phys. Rev. E , vol.58 , pp. 1383-1403
    • Nelson, D.R.1    Shnerb, N.M.2
  • 6
    • 0034218896 scopus 로고    scopus 로고
    • Life and death near a windy oasis
    • Nelson D.R., Shnerb N.M., Non-Hermitian localization and population biology. Phys. Rev. E. 58:1998;1383-1403 Dahmen K.A., Nelson D.R., Shnerb N.M., Life and death near a windy oasis. J. Math. Biol. 41:2000;1-23.
    • (2000) J. Math. Biol. , vol.41 , pp. 1-23
    • Dahmen, K.A.1    Nelson, D.R.2    Shnerb, N.M.3
  • 7
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • Fisher R.A., The wave of advance of advantageous genes. Ann. Eugenics. 7:1937;355-369.
    • (1937) Ann. Eugenics , vol.7 , pp. 355-369
    • Fisher, R.A.1
  • 9
    • 0000393557 scopus 로고    scopus 로고
    • Nonlinear waves in reaction-diffusion systems: The effect of transport memory
    • Manne K.K., Hurd A.J., Kenkre V.M., Nonlinear waves in reaction-diffusion systems: The effect of transport memory. Phys. Rev. E. 61:2000;4177-4184.
    • (2000) Phys. Rev. E , vol.61 , pp. 4177-4184
    • Manne, K.K.1    Hurd, A.J.2    Kenkre, V.M.3
  • 10
    • 0035679907 scopus 로고    scopus 로고
    • Effects of transport memory and nonlinear damping in a generalized Fisher's equation
    • Abramson G., Bishop A.R., Kenkre V.M., Effects of transport memory and nonlinear damping in a generalized Fisher's equation. Phys. Rev. E. 64:2001;066615/1-066615/6.
    • (2001) Phys. Rev. E , vol.64 , pp. 066615
    • Abramson, G.1    Bishop, A.R.2    Kenkre, V.M.3
  • 11
    • 0037086369 scopus 로고    scopus 로고
    • Analytic solutions for nonlinear waves in coupled reacting systems
    • Abramson G., Kenkre V.M., Bishop A.R., Analytic solutions for nonlinear waves in coupled reacting systems. Physica A. 305:2002;427-436.
    • (2002) Physica A , vol.305 , pp. 427-436
    • Abramson, G.1    Kenkre, V.M.2    Bishop, A.R.3
  • 12
    • 37649029218 scopus 로고    scopus 로고
    • Spatiotemporal patterns in the Hantavirus infection
    • Abramson G., Kenkre V.M., Spatiotemporal patterns in the Hantavirus infection. Phys. Rev. E. 66:2002;011912/1-011912/5.
    • (2002) Phys. Rev. E , vol.66 , pp. 011912
    • Abramson, G.1    Kenkre, V.M.2
  • 13
    • 41349108842 scopus 로고    scopus 로고
    • Simulations in the mathematical modeling of the spread of the Hantavirus
    • M.A. Aguirre, G. Abramson, A.R. Bishop, V.M. Kenkre, Simulations in the mathematical modeling of the spread of the Hantavirus, Phys. Rev. E 66 (2002) 041908-13.
    • (2002) Phys. Rev. E , vol.66 , pp. 041908-041913
    • Aguirre, M.A.1    Abramson, G.2    Bishop, A.R.3    Kenkre, V.M.4
  • 14
    • 0033051134 scopus 로고    scopus 로고
    • Long-term studies of hantavirus reservoir populations in the southwestern United States: Rationale, potential, and methods
    • Mills J.N., Yates T.L., Ksiazek T.G., Peters C.J., Childs J.E., Long-term studies of hantavirus reservoir populations in the southwestern United States: rationale, potential, and methods. Emerg. Infect. Dis. 5:1999;95-101.
    • (1999) Emerg. Infect. Dis. , vol.5 , pp. 95-101
    • Mills, J.N.1    Yates, T.L.2    Ksiazek, T.G.3    Peters, C.J.4    Childs, J.E.5
  • 15
    • 0041676122 scopus 로고
    • On nonlinear processes involving population growth and diffusion
    • Montroll E.W., On nonlinear processes involving population growth and diffusion. J. Appl. Probab. 4:1967;281-290.
    • (1967) J. Appl. Probab. , vol.4 , pp. 281-290
    • Montroll, E.W.1
  • 16
    • 0020064256 scopus 로고
    • Diffusive logistic growth in deterministic and stochastic environments
    • Rotenberg M., Diffusive logistic growth in deterministic and stochastic environments. J. Theor. Biol. 94:1982;253-280.
    • (1982) J. Theor. Biol. , vol.94 , pp. 253-280
    • Rotenberg, M.1
  • 17
    • 42749105974 scopus 로고    scopus 로고
    • Applicability of the Fisher equation to bacterial population dynamics
    • scheduled for publication
    • V.M. Kenkre, M.N. Kuperman, Applicability of the Fisher equation to bacterial population dynamics, scheduled for publication, Phys. Rev. E. 67 (2003) 051921-5.
    • (2003) Phys. Rev. E. , vol.67 , pp. 051921-051925
    • Kenkre, V.M.1    Kuperman, M.N.2
  • 18
    • 0000644794 scopus 로고
    • Spatial contact models for ecological and epidemic spread
    • Mollison D., Spatial contact models for ecological and epidemic spread. J. Roy. Stat. Soc. B. 39:1977;283-326.
    • (1977) J. Roy. Stat. Soc. B , vol.39 , pp. 283-326
    • Mollison, D.1
  • 19
    • 0037095487 scopus 로고    scopus 로고
    • Saturation of charge carrier velocity with increasing electric fields: Theoretical investigations for pure organic crystals
    • Kenkre V.M., Parris P., Saturation of charge carrier velocity with increasing electric fields: Theoretical investigations for pure organic crystals. Phys. Rev. B. 65:2002;205104/1-205104/11.
    • (2002) Phys. Rev. B , vol.65 , pp. 205104
    • Kenkre, V.M.1    Parris, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.