메뉴 건너뛰기




Volumn 57, Issue 6, 2008, Pages 863-881

Qualitative permanence of Lotka-Volterra equations

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; ECOLOGY; ECOSYSTEM; MATHEMATICS; STATISTICS;

EID: 51649116818     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-008-0192-0     Document Type: Article
Times cited : (13)

References (24)
  • 1
    • 0003270351 scopus 로고
    • Nonnegative matrices in the mathematical sciences
    • Revised reprint of the 1979 original Society for Industrial and Applied Mathematics (SIAM), Philadelphia
    • Berman, A., Plemmons, R.J.: Nonnegative Matrices in the Mathematical Sciences. Revised reprint of the 1979 original. Classics in Applied Mathematics, vol. 9. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (1994)
    • (1994) Classics in Applied Mathematics , vol.9
    • Berman, A.1    Plemmons, R.J.2
  • 2
    • 0028991860 scopus 로고
    • Energetics, patterns of interaction strengths, and stability in real ecosystems
    • de Ruiter P.C., Neutel A.-M., Moore J.C.: Energetics, patterns of interaction strengths, and stability in real ecosystems. Science 269, 1257-1260 (1995)
    • (1995) Science , vol.269 , pp. 1257-1260
    • De Ruiter, P.C.1    Neutel, A.-M.2    Moore, J.C.3
  • 3
    • 0242589333 scopus 로고
    • Heteroclinic cycles in ecological differential equations
    • Hofbauer J.: Heteroclinic cycles in ecological differential equations. Tatra Mt. Math. Publ. 4, 105-116 (1994)
    • (1994) Tatra Mt. Math. Publ. , vol.4 , pp. 105-116
    • Hofbauer, J.1
  • 5
    • 0023516861 scopus 로고
    • Coexistence for systems governed by difference equations of Lotka-Volterra type
    • Hofbauer J., Hutson V., Jansen W.: Coexistence for systems governed by difference equations of Lotka-Volterra type. J. Math. Biol. 25, 553-570 (1987)
    • (1987) J. Math. Biol. , vol.25 , pp. 553-570
    • Hofbauer, J.1    Hutson, V.2    Jansen, W.3
  • 6
    • 0030619988 scopus 로고    scopus 로고
    • A theoretical framework for intraguild predation
    • Holt R.D., Polis G.A.: A theoretical framework for intraguild predation. Am. Nat. 149, 745-764 (1997)
    • (1997) Am. Nat. , vol.149 , pp. 745-764
    • Holt, R.D.1    Polis, G.A.2
  • 7
    • 0001439703 scopus 로고
    • A theorem on average Liapunov functions
    • Hutson V.: A theorem on average Liapunov functions. Monatsh. Math. 98, 267-275 (1984)
    • (1984) Monatsh. Math. , vol.98 , pp. 267-275
    • Hutson, V.1
  • 8
    • 0026616222 scopus 로고
    • Permanence and the dynamics of biological systems
    • Hutson V., Schmitt K.: Permanence and the dynamics of biological systems. Math. Biosci. 111, 1-71 (1992)
    • (1992) Math. Biosci. , vol.111 , pp. 1-71
    • Hutson, V.1    Schmitt, K.2
  • 9
    • 11144264348 scopus 로고
    • Permanence of some ecological systems with several predator and one prey species
    • Kirlinger G.: Permanence of some ecological systems with several predator and one prey species. J. Math. Biol 26, 217-232 (1988)
    • (1988) J. Math. Biol , vol.26 , pp. 217-232
    • Kirlinger, G.1
  • 10
    • 6044221766 scopus 로고    scopus 로고
    • Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points
    • Kon R.: Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points. J. Math. Biol. 48, 57-81 (2004)
    • (2004) J. Math. Biol. , vol.48 , pp. 57-81
    • Kon, R.1
  • 12
    • 51649126897 scopus 로고    scopus 로고
    • Effect of a parasitoid on permanence of competing hosts
    • Kon R., Takeuchi Y.: Effect of a parasitoid on permanence of competing hosts. Vietnam J. Math. 30, 473-486 (2002)
    • (2002) Vietnam J. Math. , vol.30 , pp. 473-486
    • Kon, R.1    Takeuchi, Y.2
  • 16
    • 0014446034 scopus 로고
    • Qualitative problems in matrix theory
    • Maybee J., Quirk J.: Qualitative problems in matrix theory. SIAM Rev. 11, 30-51 (1969)
    • (1969) SIAM Rev. , vol.11 , pp. 30-51
    • Maybee, J.1    Quirk, J.2
  • 17
    • 0032558786 scopus 로고    scopus 로고
    • Weak trophic interactions and the balance of nature
    • McCann K., Hastings A., Huxel G.R.: Weak trophic interactions and the balance of nature. Nature 395, 794-798 (1998)
    • (1998) Nature , vol.395 , pp. 794-798
    • Hastings, A.1    Huxel, G.R.2
  • 18
    • 0034636310 scopus 로고    scopus 로고
    • The diversity-stability debate
    • McCann K.: The diversity-stability debate. Nature 405, 228-233 (2000)
    • (2000) Nature , vol.405 , pp. 228-233
    • McCann, K.1
  • 20
    • 0037052507 scopus 로고    scopus 로고
    • Stability in real food webs: Weak links in long loops
    • Neutel A.-M., Heesterbeek J.A.P., de Ruiter P.C.: Stability in real food webs: weak links in long loops. Science 296, 1120-1123 (2002)
    • (2002) Science , vol.296 , pp. 1120-1123
    • Neutel, A.-M.1    Heesterbeek, J.A.P.2    De Ruiter, P.C.3
  • 21
    • 0018129208 scopus 로고
    • On feeding on more than one trophic level
    • Pimm S.L., Lawton J.H.: On feeding on more than one trophic level. Nature 275, 542-544 (1978)
    • (1978) Nature , vol.275 , pp. 542-544
    • Pimm, S.L.1    Lawton, J.H.2
  • 23
  • 24
    • 0018042664 scopus 로고
    • Global stability of ecosystems of the generalized Volterra type
    • Takeuchi Y., Adachi N., Tokumaru H.: Global stability of ecosystems of the generalized Volterra type. Math. Biosci. 42, 119-136 (1978)
    • (1978) Math. Biosci. , vol.42 , pp. 119-136
    • Takeuchi, Y.1    Adachi, N.2    Tokumaru, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.