메뉴 건너뛰기




Volumn 44, Issue 1-2, 2006, Pages 188-203

Existence and global attractivity of positive periodic solutions for a generalized predator-prey system with time delay

Author keywords

Attractivity of positive periodic solutions; Lyapunov functional; Positive periodic solutions; The continuation theorem of coincidence degree theory; The generalized predator prey system; Topological degree theory

Indexed keywords

MATHEMATICAL TECHNIQUES; PROBLEM SOLVING; THEOREM PROVING; TIME VARYING SYSTEMS; TOPOLOGY;

EID: 33646168513     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2006.01.011     Document Type: Article
Times cited : (10)

References (17)
  • 1
    • 0033212247 scopus 로고    scopus 로고
    • Uniform persistence and global attractivity theorem for generalized prey-predator system with time delay
    • Mukherjee D., and Roy A.B. Uniform persistence and global attractivity theorem for generalized prey-predator system with time delay. J. Nonlinear Anal. 38 (1999) 59-74
    • (1999) J. Nonlinear Anal. , vol.38 , pp. 59-74
    • Mukherjee, D.1    Roy, A.B.2
  • 3
    • 45349110364 scopus 로고
    • The stable coexistence of competing species an a renewable resource
    • Farkas M., and Freedman H.J. The stable coexistence of competing species an a renewable resource. J. Math. Anal. 138 (1989) 401-472
    • (1989) J. Math. Anal. , vol.138 , pp. 401-472
    • Farkas, M.1    Freedman, H.J.2
  • 5
    • 0001723867 scopus 로고
    • Uniform persistence in functional differential equations
    • Freedman H.I., and Ruan S. Uniform persistence in functional differential equations. J. Differential Equations 115 (1995) 173-192
    • (1995) J. Differential Equations , vol.115 , pp. 173-192
    • Freedman, H.I.1    Ruan, S.2
  • 6
    • 48749138514 scopus 로고
    • Persistence in three interacting predator-prey populations
    • Freedman H.I., and Waltman P. Persistence in three interacting predator-prey populations. Math. Biosci. 88 (1984) 213-231
    • (1984) Math. Biosci. , vol.88 , pp. 213-231
    • Freedman, H.I.1    Waltman, P.2
  • 7
    • 0027338611 scopus 로고
    • The effect of diffusion on two predators exploiting a resource
    • Mukherjee D., Mitra D., Ray S., and Roy A.B. The effect of diffusion on two predators exploiting a resource. Biosystems 31 (1993) 49-58
    • (1993) Biosystems , vol.31 , pp. 49-58
    • Mukherjee, D.1    Mitra, D.2    Ray, S.3    Roy, A.B.4
  • 8
    • 0003248828 scopus 로고
    • Stability and Oscillation in Delay Differential Equations of Population Dynamics
    • Kluwer Academic Publishers Group, Dordrecht
    • Gopalsamy K. Stability and Oscillation in Delay Differential Equations of Population Dynamics. Mathematics and Its Application vol. 74 (1992), Kluwer Academic Publishers Group, Dordrecht
    • (1992) Mathematics and Its Application , vol.74
    • Gopalsamy, K.1
  • 9
    • 0036151553 scopus 로고    scopus 로고
    • Periodic solutions for a two-species nonautonomous competition Lotka-Volterra system with time delay
    • Zhang Z.Q., and Wang Z.C. Periodic solutions for a two-species nonautonomous competition Lotka-Volterra system with time delay. J. Math. Anal. Appl. 265 (2002) 38-48
    • (2002) J. Math. Anal. Appl. , vol.265 , pp. 38-48
    • Zhang, Z.Q.1    Wang, Z.C.2
  • 10
    • 10644274227 scopus 로고    scopus 로고
    • Periodic solutions of a predator-prey system with stage-structures for predator and prey
    • Zhang Z. Periodic solutions of a predator-prey system with stage-structures for predator and prey. J. Math. Anal. Appl. 302 (2005) 291-305
    • (2005) J. Math. Anal. Appl. , vol.302 , pp. 291-305
    • Zhang, Z.1
  • 11
    • 33645552073 scopus 로고    scopus 로고
    • Periodic solution of a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
    • Zhang Z., and Wang Z. Periodic solution of a two-species ratio-dependent predator-prey system with time delay in a two-patch environment. ANZIAM J. 45 (2003) 233-244
    • (2003) ANZIAM J. , vol.45 , pp. 233-244
    • Zhang, Z.1    Wang, Z.2
  • 12
    • 0041727747 scopus 로고    scopus 로고
    • Global existence of positive periodic solutions of periodic predator-prey system with infinite delay
    • Fan M., and Wang K. Global existence of positive periodic solutions of periodic predator-prey system with infinite delay. J. Math. Anal. Appl. 262 (2001) 1-11
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 1-11
    • Fan, M.1    Wang, K.2
  • 13
    • 22644451723 scopus 로고    scopus 로고
    • Periodic solutions of a periodic delay predator-prey system
    • Li Y. Periodic solutions of a periodic delay predator-prey system. Proc. Amer. Math. Soc. 28 (1999) 1331-1335
    • (1999) Proc. Amer. Math. Soc. , vol.28 , pp. 1331-1335
    • Li, Y.1
  • 15
    • 0033148812 scopus 로고    scopus 로고
    • Uniform persistence and global asymptotic stability in periodic single-species models of dispersal in a patchy environment
    • Freedman H.I., and Peng Q.L. Uniform persistence and global asymptotic stability in periodic single-species models of dispersal in a patchy environment. Nonlinear Anal. 36 (1999) 981-996
    • (1999) Nonlinear Anal. , vol.36 , pp. 981-996
    • Freedman, H.I.1    Peng, Q.L.2
  • 16
    • 0000899050 scopus 로고    scopus 로고
    • Persistence and periodic orbits for two-species predator-prey system with diffusion
    • Song X., and Chen L. Persistence and periodic orbits for two-species predator-prey system with diffusion. Canad. Appl. Math. Quart. 6 3 (1998) 233-244
    • (1998) Canad. Appl. Math. Quart. , vol.6 , Issue.3 , pp. 233-244
    • Song, X.1    Chen, L.2
  • 17
    • 0034276513 scopus 로고    scopus 로고
    • Global stability and periodic orbits for a two-patch diffusion predator-prey model with time delays
    • Hongliang Z., and Kuiehen D. Global stability and periodic orbits for a two-patch diffusion predator-prey model with time delays. Nonlinear Anal. 41 (2000) 1083-1096
    • (2000) Nonlinear Anal. , vol.41 , pp. 1083-1096
    • Hongliang, Z.1    Kuiehen, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.