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Volumn 30, Issue 3, 2006, Pages 748-758

Persistence and average persistence of a nonautonomous Kolmogorov system

Author keywords

[No Author keywords available]

Indexed keywords

EQUIVALENCE CLASSES; FRACTALS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SOLITONS;

EID: 33745182348     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.04.026     Document Type: Article
Times cited : (9)

References (13)
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    • (2001) J Diff Equat , vol.171 , pp. 132-147
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  • 3
    • 11144290103 scopus 로고    scopus 로고
    • A new Liapunov function for the simple chemostat
    • Gard T. A new Liapunov function for the simple chemostat. Nonlinear Anal: RWA 3 (2002) 211-226
    • (2002) Nonlinear Anal: RWA , vol.3 , pp. 211-226
    • Gard, T.1
  • 4
    • 0021071835 scopus 로고
    • Competition for fluctuating nutrient
    • Hale J.K., and Somolinos A.S. Competition for fluctuating nutrient. J Math Biol 18 (1983) 255-280
    • (1983) J Math Biol , vol.18 , pp. 255-280
    • Hale, J.K.1    Somolinos, A.S.2
  • 5
    • 33745151326 scopus 로고    scopus 로고
    • Han X, Teng Z. On the average persistence and extinction in nonautonomous predator-prey Kolmogorov systems. Dyn Cont Disc Impul Sys, in press.
  • 7
    • 0041573457 scopus 로고    scopus 로고
    • Global stability in chemostat models involving time delays and wall growth
    • Rao V.S.H., and Rao P.R.S. Global stability in chemostat models involving time delays and wall growth. Nonlinear Anal: RWA 5 (2004) 141-158
    • (2004) Nonlinear Anal: RWA , vol.5 , pp. 141-158
    • Rao, V.S.H.1    Rao, P.R.S.2
  • 8
    • 0034839054 scopus 로고    scopus 로고
    • Global analysis in a predator-prey system with nonmonotonic functional response
    • Ruan S., and Xiao D. Global analysis in a predator-prey system with nonmonotonic functional response. SIAM J Appl Math 61 (2001) 1445-1472
    • (2001) SIAM J Appl Math , vol.61 , pp. 1445-1472
    • Ruan, S.1    Xiao, D.2
  • 9
    • 18844441739 scopus 로고    scopus 로고
    • A food chain model with impulsive perturbations and Holling IV functional response
    • Zhang S., Wang F., and Chen L. A food chain model with impulsive perturbations and Holling IV functional response. Chaos, Solitons & Fractals 26 (2005) 855-866
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 855-866
    • Zhang, S.1    Wang, F.2    Chen, L.3
  • 10
    • 0343826890 scopus 로고    scopus 로고
    • The almost periodic Kolmogorov competitive systems
    • Teng Z. The almost periodic Kolmogorov competitive systems. Nonlinear Anal 42 (2000) 1221-1230
    • (2000) Nonlinear Anal , vol.42 , pp. 1221-1230
    • Teng, Z.1
  • 11
    • 2942514543 scopus 로고    scopus 로고
    • Permanence criteria in nonautonomous predator-prey Kolmogorov systems and its applications
    • Teng Z., Li Z., and Jiang H. Permanence criteria in nonautonomous predator-prey Kolmogorov systems and its applications. Dynam Syst 19 (2004) 171-194
    • (2004) Dynam Syst , vol.19 , pp. 171-194
    • Teng, Z.1    Li, Z.2    Jiang, H.3
  • 12
    • 0037411782 scopus 로고    scopus 로고
    • Stability and persistence in Plankton models with distributed delays
    • Abdallah S.H. Stability and persistence in Plankton models with distributed delays. Chaos, Solitons & Fractals 17 (2003) 879-884
    • (2003) Chaos, Solitons & Fractals , vol.17 , pp. 879-884
    • Abdallah, S.H.1
  • 13
    • 0001723867 scopus 로고
    • Uniform persistence in functional differential equations
    • Freedman H.I., and Ruan S. Uniform persistence in functional differential equations. J Diff Equat 115 (1995) 173-192
    • (1995) J Diff Equat , vol.115 , pp. 173-192
    • Freedman, H.I.1    Ruan, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.