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Volumn 162, Issue 3, 2005, Pages 1333-1349

Existence and global stability of periodic solutions of a discrete ratio-dependent food chain model with delay

Author keywords

Coincidence degree; Food chain model; Global stability; Nonautonomous difference equation; Periodic solution

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENCE EQUATIONS; ECOSYSTEMS; FUNCTIONS; MATHEMATICAL MODELS; THEOREM PROVING;

EID: 12244279986     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.03.013     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 2642554539 scopus 로고    scopus 로고
    • Difference equations and inequalities: Theory, method and applications
    • Marcel Dekker, New York
    • R.P. Agarwal, Difference Equations and Inequalities: Theory, Method and Applications, Monographs and textbooks in Pure and Applied Mathematics, No. 228, Marcel Dekker, New York, 2000
    • (2000) Monographs and Textbooks in Pure and Applied Mathematics , vol.228
    • Agarwal, R.P.1
  • 4
    • 0042793280 scopus 로고    scopus 로고
    • Periodicity in a delayed ratio-dependent predator-prey system
    • Fan M., 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
  • 5
    • 2642587972 scopus 로고    scopus 로고
    • Periodic solution of a discrete time nonautonomous ratio-dependent predator-prey system
    • Fan M., Wang K. Periodic solution of a discrete time nonautonomous ratio-dependent predator-prey system. Math. Comput. Modell. 35:2002;951-961
    • (2002) Math. Comput. Modell. , vol.35 , pp. 951-961
    • Fan, M.1    Wang, K.2
  • 9
    • 0000334087 scopus 로고
    • The balance of animal population
    • Nicholson A.J. The balance of animal population. J. Animal Ecol. 2:1993;132-178
    • (1993) J. Animal Ecol. , vol.2 , pp. 132-178
    • Nicholson, A.J.1
  • 10
    • 0344792264 scopus 로고    scopus 로고
    • Periodic solution of a periodic two-species competition model with delays
    • Huo H.F., Li W.T. Periodic solution of a periodic two-species competition model with delays. Int. J. Appl. Math. 12:2003;13-21
    • (2003) Int. J. Appl. Math. , vol.12 , pp. 13-21
    • Huo, H.F.1    Li, W.T.2
  • 11
    • 0042793273 scopus 로고    scopus 로고
    • Periodic solutions of two-species diffusion models with continuous time delays
    • Huo H.F., Li W.T., Cheng S.S. Periodic solutions of two-species diffusion models with continuous time delays. Demonstratio Mathematica. 35:2002;433-446
    • (2002) Demonstratio Mathematica , vol.35 , pp. 433-446
    • Huo, H.F.1    Li, W.T.2    Cheng, S.S.3
  • 12
    • 12244251736 scopus 로고    scopus 로고
    • Periodic solution of a delayed ratio-dependent food chain model
    • Huo H.F., Li W.T. Periodic solution of a delayed ratio-dependent food chain model. Taiwan. J. Math. 8:2004;211-222
    • (2004) Taiwan. J. Math. , vol.8 , pp. 211-222
    • Huo, H.F.1    Li, W.T.2
  • 13
    • 0035376255 scopus 로고    scopus 로고
    • Global analysis of the Michaelis-Menten type ratio-dependence predator-prey system
    • Hsu S.B., Hwang T.W., Kuang Y. Global analysis of the Michaelis-Menten type ratio-dependence predator-prey system. 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
  • 14
    • 0035512366 scopus 로고    scopus 로고
    • Rich dynamics of a ratio-dependent one-prey two-predators model
    • Hsu S.B., Hwang T.W., Kuang Y. Rich dynamics of a ratio-dependent one-prey two-predators model. J. Math. Biol. 43:2001;377-396
    • (2001) J. Math. Biol. , vol.43 , pp. 377-396
    • Hsu, S.B.1    Hwang, T.W.2    Kuang, Y.3
  • 16
    • 0000252357 scopus 로고    scopus 로고
    • Global qualitative analysis of a ratio-dependent predator-prey system
    • Kuang Y., Baretta 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    Baretta, E.2
  • 17
    • 22644451723 scopus 로고    scopus 로고
    • Periodic solutions of a periodic delay predator-prey system
    • Li Y.K. Periodic solutions of a periodic delay predator-prey system. Proc. Amer. Math. Soc. 127:1999;1331-1335
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 1331-1335
    • Li, Y.K.1
  • 18
    • 0035285146 scopus 로고    scopus 로고
    • Periodic solutions of periodic delay Lotka-Volterra equations and systems
    • Li Y.K., Kuang Y. Periodic solutions of periodic delay Lotka-Volterra equations and systems. J. Math. Anal. Appl. 255:2001;260-280
    • (2001) J. Math. Anal. Appl. , vol.255 , pp. 260-280
    • Li, Y.K.1    Kuang, Y.2
  • 19
    • 0033102348 scopus 로고    scopus 로고
    • Global stability of discrete models of Lotka-Volterra type
    • Wang W.D., Lu Z.Y. Global stability of discrete models of Lotka-Volterra type. Nonlinear Anal. TMA. 35:1999;1019-1030
    • (1999) Nonlinear Anal. TMA , vol.35 , pp. 1019-1030
    • Wang, W.D.1    Lu, Z.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.