메뉴 건너뛰기




Volumn 177, Issue 1, 2006, Pages 118-127

Permanence and global attractivity of a delayed periodic logistic equation

Author keywords

Delayed logistic equation; Global attractivity; Lyapunov functional; Permanence

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS;

EID: 33744509617     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.10.040     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 0342484417 scopus 로고    scopus 로고
    • Global attractivity and oscillation in a nonlinear delay equation
    • Yan J., and Feng Q. Global attractivity and oscillation in a nonlinear delay equation. Nonlinear Anal. 43 1 (2001) 101-108
    • (2001) Nonlinear Anal. , vol.43 , Issue.1 , pp. 101-108
    • Yan, J.1    Feng, Q.2
  • 3
    • 0002727168 scopus 로고
    • On a periodic delay population model
    • Lalli B.S., and Zhang B.G. On a periodic delay population model. Quart. Appl. Math. 52 1 (1994) 35-42
    • (1994) Quart. Appl. Math. , vol.52 , Issue.1 , pp. 35-42
    • Lalli, B.S.1    Zhang, B.G.2
  • 4
    • 0035285146 scopus 로고    scopus 로고
    • Periodic solutions of periodic delay Lotka-Volterra equations and systems
    • Li Y., and Kuang Y. Periodic solutions of periodic delay Lotka-Volterra equations and systems. J. Math. Anal. Appl. 255 1 (2001) 260-280
    • (2001) J. Math. Anal. Appl. , vol.255 , Issue.1 , pp. 260-280
    • Li, Y.1    Kuang, Y.2
  • 5
    • 0242333295 scopus 로고    scopus 로고
    • Periodic solution of a delayed periodic logistic equation
    • Chen Y.M. Periodic solution of a delayed periodic logistic equation. Appl. Math. Lett. 16 (2003) 1047-1051
    • (2003) Appl. Math. Lett. , vol.16 , pp. 1047-1051
    • Chen, Y.M.1
  • 6
    • 0036763656 scopus 로고    scopus 로고
    • Permanence and stability in non-autonomous logistic systems with infinite delay
    • Teng Z.D. Permanence and stability in non-autonomous logistic systems with infinite delay. Dyn. Syst. 17 3 (2002) 187-202
    • (2002) Dyn. Syst. , vol.17 , Issue.3 , pp. 187-202
    • Teng, Z.D.1
  • 7
    • 10644272712 scopus 로고    scopus 로고
    • Permanence of a single-species dispersal system and predator survival
    • Cui J.A., and Takeuchi Y. Permanence of a single-species dispersal system and predator survival. J. Comput. Appl. Math. 175 (2005) 375-394
    • (2005) J. Comput. Appl. Math. , vol.175 , pp. 375-394
    • Cui, J.A.1    Takeuchi, Y.2
  • 8
    • 17644427702 scopus 로고    scopus 로고
    • On a nonlinear non-autonomous predator-prey model with diffusion and distributed delay
    • Chen F.D. On a nonlinear non-autonomous predator-prey model with diffusion and distributed delay. J. Comput. Appl. Math. 180 1 (2005) 33-49
    • (2005) J. Comput. Appl. Math. , vol.180 , Issue.1 , pp. 33-49
    • Chen, F.D.1
  • 9
    • 4444360401 scopus 로고    scopus 로고
    • Periodicity in a class of non-autonomous scalar equations with deviating arguments and applications to population models
    • Fan M., Ye D., Wong P.J.Y., and Agarwal R.P. Periodicity in a class of non-autonomous scalar equations with deviating arguments and applications to population models. Dyn. Syst.: Int. J. 19 3 (2004) 279-301
    • (2004) Dyn. Syst.: Int. J. , vol.19 , Issue.3 , pp. 279-301
    • Fan, M.1    Ye, D.2    Wong, P.J.Y.3    Agarwal, R.P.4
  • 10
    • 4544258197 scopus 로고    scopus 로고
    • Sufficient conditions for the existence of positive periodic solutions of a class of neutral delay models with feedback control
    • Chen F.D., Lin F.X., and Chen X.X. Sufficient conditions for the existence of positive periodic solutions of a class of neutral delay models with feedback control. Appl. Math. Comput. 158 1 (2004) 45-68
    • (2004) Appl. Math. Comput. , vol.158 , Issue.1 , pp. 45-68
    • Chen, F.D.1    Lin, F.X.2    Chen, X.X.3
  • 11
    • 0142031033 scopus 로고    scopus 로고
    • Positive periodic solutions of a class of delay differential system with feedback control
    • Huo H.F., and Li W.T. Positive periodic solutions of a class of delay differential system with feedback control. Appl. Math. Comput. 148 1 (2004) 35-46
    • (2004) Appl. Math. Comput. , vol.148 , Issue.1 , pp. 35-46
    • Huo, H.F.1    Li, W.T.2
  • 12
    • 9744231393 scopus 로고    scopus 로고
    • Periodicity in a logistic type system with several delays
    • Chen F.D., and Lin S.J. Periodicity in a logistic type system with several delays. Comput. Math. Appl. 48 1-2 (2004) 35-44
    • (2004) Comput. Math. Appl. , vol.48 , Issue.1-2 , pp. 35-44
    • Chen, F.D.1    Lin, S.J.2
  • 13
    • 0346903415 scopus 로고    scopus 로고
    • Periodicity in a food-limited population model with toxicants and state dependent delays
    • Chen F.D., et al. Periodicity in a food-limited population model with toxicants and state dependent delays. J. Math. Anal. Appl. 288 1 (2003) 132-142
    • (2003) J. Math. Anal. Appl. , vol.288 , Issue.1 , pp. 132-142
    • Chen, F.D.1
  • 14
    • 84978933417 scopus 로고    scopus 로고
    • Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Voltrra models
    • Chen F.D. Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Voltrra models. Appl. Math. J. Chin. Univ. Ser. B 19 4 (2004) 359-366
    • (2004) Appl. Math. J. Chin. Univ. Ser. B , vol.19 , Issue.4 , pp. 359-366
    • Chen, F.D.1
  • 15
    • 12244274373 scopus 로고    scopus 로고
    • Positive periodic solutions of neutral Lotka-Volterra system with feedback control
    • Chen F.D. Positive periodic solutions of neutral Lotka-Volterra system with feedback control. Appl. Math. Comput. 162 3 (2005) 1279-1302
    • (2005) Appl. Math. Comput. , vol.162 , Issue.3 , pp. 1279-1302
    • Chen, F.D.1
  • 16
    • 0003302813 scopus 로고
    • Delay differential equations with application in population dynamics
    • Academic Press, Boston
    • Kuang Y. Delay differential equations with application in population dynamics. Mathematics in Science and Engineering vol. 191 (1993), Academic Press, Boston
    • (1993) Mathematics in Science and Engineering , vol.191
    • Kuang, Y.1
  • 17
    • 0035347968 scopus 로고    scopus 로고
    • The effect of dispersal on single-species nonautonomous dispersal models with delays
    • Teng Z.D., and Lu Z.Y. The effect of dispersal on single-species nonautonomous dispersal models with delays. J. Math. Biol. 42 (2001) 439-454
    • (2001) J. Math. Biol. , vol.42 , pp. 439-454
    • Teng, Z.D.1    Lu, Z.Y.2
  • 18
    • 0001028228 scopus 로고    scopus 로고
    • Global stability of a population dispersal in a two-patch environment
    • Wang W.D., and Chen L.S. Global stability of a population dispersal in a two-patch environment. Dyn. Syst. Appl. 6 (1997) 207-216
    • (1997) Dyn. Syst. Appl. , vol.6 , pp. 207-216
    • Wang, W.D.1    Chen, L.S.2
  • 19
    • 0043076434 scopus 로고    scopus 로고
    • Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments
    • Xu R., Chaplain M.A.J., and Davidson F.A. Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Nonlinear Anal. Real World Appl. 5 1 (2004) 183-206
    • (2004) Nonlinear Anal. Real World Appl. , vol.5 , Issue.1 , pp. 183-206
    • Xu, R.1    Chaplain, M.A.J.2    Davidson, F.A.3
  • 21
    • 0001274382 scopus 로고
    • Systems d'equations differential d'oscillations nonlinearies
    • Barbǎlat I. Systems d'equations differential d'oscillations nonlinearies. Rev. Roumaine Math. Pure Appl. 4 2 (1959) 267-270
    • (1959) Rev. Roumaine Math. Pure Appl. , vol.4 , Issue.2 , pp. 267-270
    • Barbǎlat, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.