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Volumn 50, Issue 1-2, 2009, Pages 254-259

Almost periodic solutions of a discrete almost periodic logistic equation

Author keywords

Almost periodic solution; Discrete logistic equation; Global attractivity

Indexed keywords

ALMOST PERIODIC; ALMOST PERIODIC SOLUTION; ALMOST PERIODIC SOLUTIONS; DISCRETE LOGISTIC EQUATION; GLOBAL ATTRACTIVITY; LOGISTIC EQUATIONS; NUMERICAL SIMULATION; SUFFICIENT CONDITIONS;

EID: 65849210626     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.12.017     Document Type: Article
Times cited : (36)

References (27)
  • 1
    • 0018292942 scopus 로고
    • Nonautonomous logistic equations as models of the adjustment of populations to environmental changes
    • Coleman B.D. Nonautonomous logistic equations as models of the adjustment of populations to environmental changes. Math. Biosci. 45 (1979) 159-173
    • (1979) Math. Biosci. , vol.45 , pp. 159-173
    • Coleman, B.D.1
  • 2
    • 0018701382 scopus 로고
    • On the optimal choice of r for a population in a periodic environment
    • Coleman B.D., Hsieh Y.H., and Knowles G.P. On the optimal choice of r for a population in a periodic environment. Math. Biosci. 46 (1979) 71-85
    • (1979) Math. Biosci. , vol.46 , pp. 71-85
    • Coleman, B.D.1    Hsieh, Y.H.2    Knowles, G.P.3
  • 3
    • 0003046385 scopus 로고
    • Dynamics of an almost periodic logistic integrodifferential equation
    • Gopalsamy K., and He X.Z. Dynamics of an almost periodic logistic integrodifferential equation. Methods Appl. Anal. 2 (1995) 38-66
    • (1995) Methods Appl. Anal. , vol.2 , pp. 38-66
    • Gopalsamy, K.1    He, X.Z.2
  • 4
    • 0019845154 scopus 로고
    • Nonautonomous logistic equations as models of populations in a deteriorating environment
    • Hallam T.G., and Clark C.E. Nonautonomous logistic equations as models of populations in a deteriorating environment. J. Theoret. Biol. 93 (1981) 301-311
    • (1981) J. Theoret. Biol. , vol.93 , pp. 301-311
    • Hallam, T.G.1    Clark, C.E.2
  • 6
    • 58149363911 scopus 로고
    • An iterative scheme for the N-competing species problem
    • Tineo A. An iterative scheme for the N-competing species problem. J. Differential Equations 116 (1995) 1-15
    • (1995) J. Differential Equations , vol.116 , pp. 1-15
    • Tineo, A.1
  • 9
    • 38149059690 scopus 로고    scopus 로고
    • Permanence for the discrete mutualism model with time delays
    • Chen F.D. Permanence for the discrete mutualism model with time delays. Math. Comput. Modelling 47 (2008) 431-435
    • (2008) Math. Comput. Modelling , vol.47 , pp. 431-435
    • Chen, F.D.1
  • 10
    • 48249120690 scopus 로고    scopus 로고
    • Permanence in a discrete Lotka-Volterra competition model with deviating arguments
    • Chen F.D. Permanence in a discrete Lotka-Volterra competition model with deviating arguments. Nonlinear Anal. RWA 9 5 (2008) 2150-2155
    • (2008) Nonlinear Anal. RWA , vol.9 , Issue.5 , pp. 2150-2155
    • Chen, F.D.1
  • 11
    • 34248551070 scopus 로고    scopus 로고
    • Permanence and global attractivity of the discrete Gilpin-Ayala type population model
    • Chen F.D., Wu L.P., and Li Z. Permanence and global attractivity of the discrete Gilpin-Ayala type population model. Comput. Math. Appl. 53 8 (2007) 1214-1227
    • (2007) Comput. Math. Appl. , vol.53 , Issue.8 , pp. 1214-1227
    • Chen, F.D.1    Wu, L.P.2    Li, Z.3
  • 12
    • 42449159358 scopus 로고    scopus 로고
    • Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances
    • Li Z., and Chen F.D. Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances. Dyn. Contin. Discrete Impuls. Syst. Ser. B 15 2 (2008) 165-178
    • (2008) Dyn. Contin. Discrete Impuls. Syst. Ser. B , vol.15 , Issue.2 , pp. 165-178
    • Li, Z.1    Chen, F.D.2
  • 13
    • 0033102348 scopus 로고    scopus 로고
    • Global stability of discrete models of Lotka-Volterra type
    • Wang W.D., and Lu Z.Y. 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.D.1    Lu, Z.Y.2
  • 14
    • 0035667636 scopus 로고    scopus 로고
    • Global stability of discrete population models with delays and fluctuating environment
    • Wang W.D., and Lu Z.Y. 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.D.1    Lu, Z.Y.2
  • 15
    • 84867960106 scopus 로고    scopus 로고
    • Stable periodic solutions in a discrete periodic logistic equation
    • Zhou Z., and Zou X. Stable periodic solutions in a discrete periodic logistic equation. Appl. Math. Lett. 16 2 (2003) 165-171
    • (2003) Appl. Math. Lett. , vol.16 , Issue.2 , pp. 165-171
    • Zhou, Z.1    Zou, X.2
  • 16
    • 0037280750 scopus 로고    scopus 로고
    • Stable periodic solution of a discrete periodic Lotka-Volterra competition system
    • Chen Y.M., and Zhou Z. Stable periodic solution of a discrete periodic Lotka-Volterra competition system. J. Math. Anal. Appl. 277 1 (2003) 358-366
    • (2003) J. Math. Anal. Appl. , vol.277 , Issue.1 , pp. 358-366
    • Chen, Y.M.1    Zhou, Z.2
  • 17
    • 29944438975 scopus 로고    scopus 로고
    • Uniform persistence and periodic solutions for a discrete predator-prey system with delays
    • Yang X.T. Uniform persistence and periodic solutions for a discrete predator-prey system with delays. J. Math. Anal. Appl. 316 (2006) 161-177
    • (2006) J. Math. Anal. Appl. , vol.316 , pp. 161-177
    • Yang, X.T.1
  • 18
    • 33750799913 scopus 로고    scopus 로고
    • Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition predator-prey systems
    • Chen F.D. Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition predator-prey systems. Appl. Math. Comput. 182 (2006) 3-12
    • (2006) Appl. Math. Comput. , vol.182 , pp. 3-12
    • Chen, F.D.1
  • 19
    • 0034225367 scopus 로고    scopus 로고
    • Canonical solutions and almost periodicity in a discrete logistic equation
    • Gopalsamy K., and Mohamad S. Canonical solutions and almost periodicity in a discrete logistic equation. Appl. Math. Comput. 113 (2000) 305-323
    • (2000) Appl. Math. Comput. , vol.113 , pp. 305-323
    • Gopalsamy, K.1    Mohamad, S.2
  • 20
    • 28844452544 scopus 로고    scopus 로고
    • Almost periodic solutions of discrete Volterra equations
    • Song Y.H. Almost periodic solutions of discrete Volterra equations. J. Math. Anal. Appl. 314 (2006) 174-194
    • (2006) J. Math. Anal. Appl. , vol.314 , pp. 174-194
    • Song, Y.H.1
  • 21
    • 34248155710 scopus 로고    scopus 로고
    • Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay
    • Song Y.H., and Tian H.J. Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay. J. Comput. Appl. Math. 205 (2007) 859-870
    • (2007) J. Comput. Appl. Math. , vol.205 , pp. 859-870
    • Song, Y.H.1    Tian, H.J.2
  • 22
    • 30944452132 scopus 로고    scopus 로고
    • The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
    • Huang Z.K., Wang X.H., and Gao F. The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks. Phys. Lett. A 350 (2006) 182-191
    • (2006) Phys. Lett. A , vol.350 , pp. 182-191
    • Huang, Z.K.1    Wang, X.H.2    Gao, F.3
  • 23
    • 30944450443 scopus 로고    scopus 로고
    • Existence of almost periodic solution for difference systems
    • Zhang S.N. Existence of almost periodic solution for difference systems. Ann. Differential Equations 16 2 (2000) 184-206
    • (2000) Ann. Differential Equations , vol.16 , Issue.2 , pp. 184-206
    • Zhang, S.N.1
  • 24
    • 49849123807 scopus 로고
    • Liapunov functions and almost periodic solutions for almost periodic systems
    • Fink A.M., and Seifert G. Liapunov functions and almost periodic solutions for almost periodic systems. J. Differential Equations 5 (1969) 307-313
    • (1969) J. Differential Equations , vol.5 , pp. 307-313
    • Fink, A.M.1    Seifert, G.2
  • 25
    • 0036497509 scopus 로고    scopus 로고
    • The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
    • Yuan R. The existence of almost periodic solutions of retarded differential equations with piecewise constant argument. Nonlinear Anal. 48 (2002) 1013-1032
    • (2002) Nonlinear Anal. , vol.48 , pp. 1013-1032
    • Yuan, R.1
  • 27
    • 0037174252 scopus 로고    scopus 로고
    • Almost periodic solutions of delay difference systems
    • Zhang S.N., and Zheng G. Almost periodic solutions of delay difference systems. Appl. Math. Comput. 131 (2002) 497-516
    • (2002) Appl. Math. Comput. , vol.131 , pp. 497-516
    • Zhang, S.N.1    Zheng, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.