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Volumn 10, Issue 1, 2009, Pages 227-243

Existence and global attractivity of positive periodic solutions for impulsive predator-prey model with dispersion and time delays

Author keywords

Dispersion; Global attractivity; Impulses; Periodic solution; Time delay

Indexed keywords

DISPERSION (WAVES); TIME DELAY;

EID: 50349091693     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.08.026     Document Type: Article
Times cited : (62)

References (18)
  • 2
    • 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.L., and Li W.T. 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.L.1    Li, W.T.2
  • 3
    • 0141750665 scopus 로고    scopus 로고
    • Existence of positive periodic solution for nonautonomous predator-prey system with diffusion and time delay
    • Chen S., Zhang J., and Yong T. Existence of positive periodic solution for nonautonomous predator-prey system with diffusion and time delay. J. Comput. Appl. Math. 159 (2003) 375-386
    • (2003) J. Comput. Appl. Math. , vol.159 , pp. 375-386
    • Chen, S.1    Zhang, J.2    Yong, T.3
  • 4
    • 0142094503 scopus 로고    scopus 로고
    • Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays
    • Xu R., Chaplain M.A.J., and Davidson F.A. Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Appl. Math. Comput. 148 (2004) 537-560
    • (2004) Appl. Math. Comput. , vol.148 , pp. 537-560
    • Xu, R.1    Chaplain, M.A.J.2    Davidson, F.A.3
  • 5
    • 1842476842 scopus 로고    scopus 로고
    • The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive
    • Zhen J., Ma Zh., and Han M. The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive. Chaos Solitons Fractals 22 (2004) 181-188
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 181-188
    • Zhen, J.1    Ma, Zh.2    Han, M.3
  • 6
    • 0033197434 scopus 로고    scopus 로고
    • Persistence and global stability for two-species nonautonomous competition Lotka-Volterra patch-system with time delay
    • Zhang J., Chen L., and Chen X. Persistence and global stability for two-species nonautonomous competition Lotka-Volterra patch-system with time delay. Nonlinear Anal. TMA 37 (1999) 1019-1028
    • (1999) Nonlinear Anal. TMA , vol.37 , pp. 1019-1028
    • Zhang, J.1    Chen, L.2    Chen, X.3
  • 7
    • 0034249333 scopus 로고    scopus 로고
    • Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
    • Xu R., and Chen L. Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment. Comput. Math. Appl. 40 (2000) 577-588
    • (2000) Comput. Math. Appl. , vol.40 , pp. 577-588
    • Xu, R.1    Chen, L.2
  • 8
    • 0032021218 scopus 로고    scopus 로고
    • Persistence and global stability for nonautonomous predator-prey systems with diffusion and time delay
    • Song X.Y., and Chen L.S. Persistence and global stability for nonautonomous predator-prey systems with diffusion and time delay. Comput. Math. Appl. 35 (1998) 33-40
    • (1998) Comput. Math. Appl. , vol.35 , pp. 33-40
    • Song, X.Y.1    Chen, L.S.2
  • 9
    • 50349083789 scopus 로고    scopus 로고
    • Periodic solutions of the Duffing equations with delay and impulses
    • (in Chinese)
    • Li J., and Shen J. Periodic solutions of the Duffing equations with delay and impulses. Acta Math. Appl. Sinica 28 1 (2005) 124-133 (in Chinese)
    • (2005) Acta Math. Appl. Sinica , vol.28 , Issue.1 , pp. 124-133
    • Li, J.1    Shen, J.2
  • 10
    • 0034559503 scopus 로고    scopus 로고
    • Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation
    • Lenci S., and Rega G. Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation. Chaos Solitons Fractals 11 (2000) 2453-2472
    • (2000) Chaos Solitons Fractals , vol.11 , pp. 2453-2472
    • Lenci, S.1    Rega, G.2
  • 11
    • 0037332898 scopus 로고    scopus 로고
    • Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
    • Liu X., and Chen L. Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator. Chaos Solitons Fractals 16 (2003) 311-320
    • (2003) Chaos Solitons Fractals , vol.16 , pp. 311-320
    • Liu, X.1    Chen, L.2
  • 12
    • 0000598489 scopus 로고
    • Periodic solutions to ordinary differential equations with impulses
    • Li Y., and Zhou Q. Periodic solutions to ordinary differential equations with impulses. Sci. China 36 7 (1993) 778-790
    • (1993) Sci. China , vol.36 , Issue.7 , pp. 778-790
    • Li, Y.1    Zhou, Q.2
  • 13
    • 0030078701 scopus 로고    scopus 로고
    • An application of coincidence degree continuation theorem in existence of solutions of impulsive differential equations
    • Dong Y., and Erxin Z. An application of coincidence degree continuation theorem in existence of solutions of impulsive differential equations. J. Math. Anal. Appl 197 (1996) 875-889
    • (1996) J. Math. Anal. Appl , vol.197 , pp. 875-889
    • Dong, Y.1    Erxin, Z.2
  • 15
    • 0001277673 scopus 로고    scopus 로고
    • Oscillation and stability of linear impulsive delay differential equation
    • Yan J., and Zhao A. Oscillation and stability of linear impulsive delay differential equation. J. Math. Anal. Appl. 227 (1998) 187-194
    • (1998) J. Math. Anal. Appl. , vol.227 , pp. 187-194
    • Yan, J.1    Zhao, A.2
  • 16
    • 44949279431 scopus 로고
    • Harmless delays for uniform persistence
    • Wang W., and Ma Z. Harmless delays for uniform persistence. J. Math. Anal. Appl. 158 (1991) 256-268
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 256-268
    • Wang, W.1    Ma, Z.2
  • 17
    • 0001274382 scopus 로고
    • Systemes d'equations differentielles d'oscillations nonlineaires
    • Barbalat L. Systemes d'equations differentielles d'oscillations nonlineaires. Rev. Roumaine Math. Pures Appl. 4 (1959) 267-270
    • (1959) Rev. Roumaine Math. Pures Appl. , vol.4 , pp. 267-270
    • Barbalat, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.