메뉴 건너뛰기




Volumn 243, Issue 2, 2000, Pages 357-372

Existence and instability of Neumann layer solutions for a 3-component Lotka-Volterra model with diffusion

Author keywords

Lotka Volterra model; Singular perturbation; Spectral analysis

Indexed keywords


EID: 0034652878     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6676     Document Type: Article
Times cited : (33)

References (12)
  • 2
    • 0016950595 scopus 로고
    • Boundary and interior transition layer phenomena for pairs of second-order differential equations
    • Fife P. C. Boundary and interior transition layer phenomena for pairs of second-order differential equations. J. Math. Anal. Appl. 54:1976;497-521.
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 497-521
    • Fife P., C.1
  • 3
    • 77957080860 scopus 로고
    • On the structure of multiple existence of stable stationary solutions in systems of reaction-diffusion equations
    • T. Nishida. Amsterdam: North-Holland
    • Fujii H., Nishiura Y., Hosono Y. On the structure of multiple existence of stable stationary solutions in systems of reaction-diffusion equations. Nishida T., Patterns and Waves. 1986;157-219 North-Holland, Amsterdam.
    • (1986) Patterns and Waves , pp. 157-219
    • Fujii, H.1    Nishiura, Y.2    Hosono, Y.3
  • 4
    • 0002085758 scopus 로고
    • An interfacial approach to regional segregation of two competing species mediated by a predator
    • Ikeda T., Mimura M. An interfacial approach to regional segregation of two competing species mediated by a predator. J. Math. Biol. 31:1993;215-240.
    • (1993) J. Math. Biol. , vol.31 , pp. 215-240
    • Ikeda, T.1    Mimura, M.2
  • 5
    • 0000599847 scopus 로고    scopus 로고
    • Existence of standing waves for competition - Diffusion equations
    • Kan-on Y. Existence of standing waves for competition - diffusion equations. Japan J. Indust. Appl. Math. 13:1996;117-133.
    • (1996) Japan J. Indust. Appl. Math. , vol.13 , pp. 117-133
    • Kan-on, Y.1
  • 6
    • 0031106934 scopus 로고    scopus 로고
    • Instability of stationary solutions of a Lotka-Volterra competition model with diffusion
    • Kan-on Y. Instability of stationary solutions of a Lotka-Volterra competition model with diffusion. J. Math. Anal. Appl. 208:1997;158-170.
    • (1997) J. Math. Anal. Appl. , vol.208 , pp. 158-170
    • Kan-on, Y.1
  • 7
    • 0032389543 scopus 로고    scopus 로고
    • Singular perturbation approach to a 3-component reaction-diffusion system arising in population dynamics
    • Kan-on Y., Mimura M. Singular perturbation approach to a 3-component reaction-diffusion system arising in population dynamics. SIAM J. Math. Anal. 29:1998;1519-1536.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1519-1536
    • Kan-on, Y.1    Mimura, M.2
  • 8
    • 0000393425 scopus 로고
    • Homoclinic and heteroclinic bifurcations of vector fields
    • Kokubu H. Homoclinic and heteroclinic bifurcations of vector fields. Japan J. Appl. Math. 5:1988;455-501.
    • (1988) Japan J. Appl. Math. , vol.5 , pp. 455-501
    • Kokubu, H.1
  • 9
    • 84951618035 scopus 로고
    • Oscillations in segregation of competing populations
    • T. G. Hallam. Singapore: World Scientific
    • Mimura M., Kan-on Y., Nishiura Y. Oscillations in segregation of competing populations. Hallam T. G., Mathematical Ecology. 1986;717-733 World Scientific, Singapore.
    • (1986) Mathematical Ecology , pp. 717-733
    • Mimura, M.1    Kan-on, Y.2    Nishiura, Y.3
  • 10
    • 0000082814 scopus 로고
    • Multiple solutions of two-point boundary value problems of Neumann type with a small parameter
    • Mimura M., Tabata M., Hosono Y. Multiple solutions of two-point boundary value problems of Neumann type with a small parameter. SIAM J. Math. Anal. 11:1980;613-631.
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 613-631
    • Mimura, M.1    Tabata, M.2    Hosono, Y.3
  • 11
    • 0000988067 scopus 로고
    • Stability of singularly perturbed solutions to systems of reaction-diffusion equations
    • Nishiura Y., Fujii H. Stability of singularly perturbed solutions to systems of reaction-diffusion equations. SIAM J. Math. Anal. 18:1987;1726-1770.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 1726-1770
    • Nishiura, Y.1    Fujii, H.2
  • 12
    • 84972499778 scopus 로고
    • Instability of singularly perturbed Neumann layer solutions in reaction-diffusion systems
    • Nishiura Y., Tsujikawa T. Instability of singularly perturbed Neumann layer solutions in reaction-diffusion systems. Hiroshima Math. J. 20:1990;297-329.
    • (1990) Hiroshima Math. J. , vol.20 , pp. 297-329
    • Nishiura, Y.1    Tsujikawa, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.