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Nonlinear Analysis: Real World Applications
Volumn 9, Issue 2, 2008, Pages 394-402
Positive periodic solutions in generalized ratio-dependent predator-prey systems
Author keywords

Coincidence degree; Periodic solution; Predator prey system; Ratio dependent
Indexed keywords

BIOLOGICAL SYSTEMS; NONLINEAR ANALYSIS; NUMERICAL METHODS; THEOREM PROVING;
EID: 37249049802     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.11.007     Document Type: Article
Times cited : (7)
References (13)
  • 1
    • 0027100815 scopus 로고
    • Empirical evidence of the role of heterogeneity in ratio-dependent consumption
    • Arditi R., and Saiah H. Empirical evidence of the role of heterogeneity in ratio-dependent consumption. Ecology 73 (1992) 1544-1551
    • (1992) Ecology , vol.73 , pp. 1544-1551
    • Arditi, R.1    Saiah, H.2
  • 2
    • 0032058512 scopus 로고    scopus 로고
    • Global analysis in some delayed ratio-dependent predator-prey systems
    • Beretta E., and Kuang Y. Global analysis in some delayed ratio-dependent predator-prey systems. Nonlinear Anal. TMA 32 (1998) 381-408
    • (1998) Nonlinear Anal. TMA , vol.32 , pp. 381-408
    • Beretta, E.1    Kuang, Y.2
  • 3
    • 0035460669 scopus 로고    scopus 로고
    • Parametric analysis of the ratio-dependent predator-prey model
    • Berezovskaya F., Karev G., and Arditi R. Parametric analysis of the ratio-dependent predator-prey model. J. Math. Biol. 43 (2001) 221-246
    • (2001) J. Math. Biol. , vol.43 , pp. 221-246
    • Berezovskaya, F.1    Karev, G.2    Arditi, R.3
  • 4
    • 0142200840 scopus 로고    scopus 로고
    • Periodic solutions of delayed ratio-dependent predator-prey models with monotonic or nonmonotonic functional responses
    • Fan Y., Li W., and Wang L. Periodic solutions of delayed ratio-dependent predator-prey models with monotonic or nonmonotonic functional responses. Nonlinear Analysis RWA 5 (2004) 247-263
    • (2004) Nonlinear Analysis RWA , vol.5 , pp. 247-263
    • Fan, Y.1    Li, W.2    Wang, L.3
  • 5
    • 0042793280 scopus 로고    scopus 로고
    • Periodicity in a delayed ratio-dependent predator-prey system
    • Fan M., and Wang K. Periodicity in a delayed ratio-dependent predator-prey system. J. Math. Anal. Appl. 262 (2001) 179-190
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 179-190
    • Fan, M.1    Wang, K.2
  • 7
    • 0035376255 scopus 로고    scopus 로고
    • Global Analysis of the Michaelis-Menten-type ratio-dependent predator-prey systems
    • Hsu S.-B., Hwang T.-W., and Kuang Y. Global Analysis of the Michaelis-Menten-type ratio-dependent predator-prey systems. J. Math. Biol. 42 (2001) 489-506
    • (2001) J. Math. Biol. , vol.42 , pp. 489-506
    • Hsu, S.-B.1    Hwang, T.-W.2    Kuang, Y.3
  • 8
    • 0000252357 scopus 로고    scopus 로고
    • Global qualitative analysis of a ratio-dependent predator-prey system
    • Kuang Y., and Beretta E. Global qualitative analysis of a ratio-dependent predator-prey system. J. Math. Biol. 36 (1998) 389-406
    • (1998) J. Math. Biol. , vol.36 , pp. 389-406
    • Kuang, Y.1    Beretta, E.2
  • 9
    • 0037084359 scopus 로고    scopus 로고
    • Global qualitative analysis for a ratio-dependent predator-prey model with delay
    • Tang S., and Chen L. Global qualitative analysis for a ratio-dependent predator-prey model with delay. J. Math. Anal. Appl. 266 (2002) 401-419
    • (2002) J. Math. Anal. Appl. , vol.266 , pp. 401-419
    • Tang, S.1    Chen, L.2
  • 10
    • 21244444716 scopus 로고    scopus 로고
    • Heteroclinic bifurcation in a ratio-dependent predator-prey system
    • Tang Y., and Zhang W. Heteroclinic bifurcation in a ratio-dependent predator-prey system. J. Math. Biol. 50 (2005) 699-712
    • (2005) J. Math. Biol. , vol.50 , pp. 699-712
    • Tang, Y.1    Zhang, W.2
  • 11
    • 0345149230 scopus 로고    scopus 로고
    • Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response
    • Wang L., and Li W. Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response. J. Comput. Appl. Math. 162 (2004) 341-357
    • (2004) J. Comput. Appl. Math. , vol.162 , pp. 341-357
    • Wang, L.1    Li, W.2
  • 12
    • 0035464834 scopus 로고    scopus 로고
    • Global dynamics of a ratio-dependent predator-prey system
    • Xiao D., and Ruan S. Global dynamics of a ratio-dependent predator-prey system. J. Math. Biol. 43 (2001) 268-290
    • (2001) J. Math. Biol. , vol.43 , pp. 268-290
    • Xiao, D.1    Ruan, S.2
  • 13
    • 0036576165 scopus 로고    scopus 로고
    • Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay
    • Xu R., Davidson F.A., and Chaplain M.A.J. Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. J. Math. Anal. Appl. 269 (2002) 256-277
    • (2002) J. Math. Anal. Appl. , vol.269 , pp. 256-277
    • Xu, R.1    Davidson, F.A.2    Chaplain, M.A.J.3

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.