메뉴 건너뛰기




Volumn 171, Issue 1, 2005, Pages 91-103

Periodic solutions of a discrete time Lotka-Volterra type food-chain model with delays

Author keywords

Coincidence degree; Food chain model; Periodic solution

Indexed keywords

COMPUTATIONAL METHODS; DELAY CONTROL SYSTEMS; MATHEMATICAL MODELS; THEOREM PROVING; TIME VARYING SYSTEMS;

EID: 28444495052     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.027     Document Type: Article
Times cited : (32)

References (15)
  • 1
    • 2642554539 scopus 로고    scopus 로고
    • Difference equations and inequalities: Theory, methods and applications
    • Marcel Dekker New York
    • R.P. Agarwal Difference Equations and Inequalities: Theory, Methods and Applications, Monographs and Textbooks in Pure and Applied Mathematics, No. 228 2000 Marcel Dekker New York
    • (2000) Monographs and Textbooks in Pure and Applied Mathematics , vol.228
    • Agarwal, R.P.1
  • 2
    • 0030947323 scopus 로고    scopus 로고
    • Delayed density dependence and the stability of interacting populations and subpopulations
    • E.E. Crone Delayed density dependence and the stability of interacting populations and subpopulations Theoret. Population Biol. 51 1997 67 76
    • (1997) Theoret. Population Biol. , vol.51 , pp. 67-76
    • Crone, E.E.1
  • 3
    • 0017431525 scopus 로고
    • Periodic time-dependent predator-prey system
    • J.M. Cushing Periodic time-dependent predator-prey system SIAM J. Appl. Math. 32 1977 82 95
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 82-95
    • Cushing, J.M.1
  • 4
    • 2642587972 scopus 로고    scopus 로고
    • Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
    • M. Fan, and K. Wang Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system Math. Comput. Model. 35 2002 951 961
    • (2002) Math. Comput. Model. , vol.35 , pp. 951-961
    • Fan, M.1    Wang, K.2
  • 6
    • 0017110461 scopus 로고
    • Global stability in two species interactions
    • B.S. Goh Global stability in two species interactions J. Math. Biol. 3 1976 313 318
    • (1976) J. Math. Biol. , vol.3 , pp. 313-318
    • Goh, B.S.1
  • 7
    • 0018194555 scopus 로고
    • Global stability in two species systems
    • A. Hastings Global stability in two species systems J. Math. Biol. 5 1978 399 403
    • (1978) J. Math. Biol. , vol.5 , pp. 399-403
    • Hastings, A.1
  • 8
    • 0030098369 scopus 로고    scopus 로고
    • Stability and delays in a predator-prey system
    • X. He Stability and delays in a predator-prey system J. Math. Anal. Appl. 198 1996 355 370
    • (1996) J. Math. Anal. Appl. , vol.198 , pp. 355-370
    • He, X.1
  • 9
    • 0033192703 scopus 로고    scopus 로고
    • Permanence and global attractivity for Lotka-Volterra difference systems
    • Z. Lu, and W. Wang Permanence and global attractivity for Lotka-Volterra difference systems J. Math. Biol. 22 1999 269 282
    • (1999) J. Math. Biol. , vol.22 , pp. 269-282
    • Lu, Z.1    Wang, W.2
  • 11
    • 0036722331 scopus 로고    scopus 로고
    • Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system
    • Y. Saito, T. Hara, and W.B. Ma Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system Nonlinear Anal. 50 2002 703 715
    • (2002) Nonlinear Anal. , vol.50 , pp. 703-715
    • Saito, Y.1    Hara, T.2    Ma, W.B.3
  • 12
    • 0035315099 scopus 로고    scopus 로고
    • A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays
    • Y. Saito, W. Ma, and T. Hara A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays J. Math. Anal. Appl. 256 2001 162 174
    • (2001) J. Math. Anal. Appl. , vol.256 , pp. 162-174
    • Saito, Y.1    Ma, W.2    Hara, T.3
  • 13
    • 0033102348 scopus 로고    scopus 로고
    • Global stability of discrete models of Lotka-Volterra type
    • W. Wang, and Z. Lu Global stability of discrete models of Lotka-Volterra type Nonlinear Anal. 35 1999 1019 1030
    • (1999) Nonlinear Anal. , vol.35 , pp. 1019-1030
    • Wang, W.1    Lu, Z.2
  • 14
    • 0035667636 scopus 로고    scopus 로고
    • Global stability of discrete population models with delays and fluctuating environment
    • W. Wang, G. Mulone, F. Salemi, and V. Salone Global stability of discrete population models with delays and fluctuating environment J. Math. Anal. Appl. 264 2001 147 167
    • (2001) J. Math. Anal. Appl. , vol.264 , pp. 147-167
    • Wang, W.1    Mulone, G.2    Salemi, F.3    Salone, V.4
  • 15
    • 0002280685 scopus 로고    scopus 로고
    • Periodic solutions of a single psecies discrete population model with periodic harvest/stock
    • R. Zhang, Z. Wang, Y. Chen, and J. Wu Periodic solutions of a single psecies discrete population model with periodic harvest/stock Comput. Math. Appl. 39 2000 77 90
    • (2000) Comput. Math. Appl. , vol.39 , pp. 77-90
    • Zhang, R.1    Wang, Z.2    Chen, Y.3    Wu, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.