메뉴 건너뛰기




Volumn 11, Issue 4, 2010, Pages 2296-2301

Almost periodic solution of an impulsive differential equation model of plankton allelopathy

Author keywords

Almost periodic; Impulse; Permanence; Plankton allelopathy

Indexed keywords

ALMOST PERIODIC; ALMOST PERIODIC SOLUTIONS; IMPULSE; IMPULSIVE DIFFERENTIAL EQUATION; IMPULSIVE SYSTEMS; PERMANENCE; PLANKTON ALLELOPATHY; SUFFICIENT CONDITIONS;

EID: 77955773515     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.07.004     Document Type: Article
Times cited : (46)

References (22)
  • 1
    • 0033103424 scopus 로고    scopus 로고
    • Zooplankton mortality and the dynamical behaviour of plankton population model
    • A.M. Edwards, and J. Brindley Zooplankton mortality and the dynamical behaviour of plankton population model Bull. Math. Biol. 61 2 1999 303 339
    • (1999) Bull. Math. Biol. , vol.61 , Issue.2 , pp. 303-339
    • Edwards, A.M.1    Brindley, J.2
  • 2
    • 0003935411 scopus 로고
    • Cambridge University Press Cambridge
    • M. Smith J Models in Ecology 1974 Cambridge University Press Cambridge
    • (1974) Models in Ecology
    • Smith, J.M.1
  • 3
    • 0030022552 scopus 로고    scopus 로고
    • Effect of toxic substances on a two-species competitive system
    • J. Chattopadhyay Effect of toxic substances on a two-species competitive system Ecol. Model. 84 1996 287 289
    • (1996) Ecol. Model. , vol.84 , pp. 287-289
    • Chattopadhyay, J.1
  • 4
    • 0031866539 scopus 로고    scopus 로고
    • A delay differential equations model of plankton allelopathy
    • A. Mukhopadhyay, J. Chattopadhyay, and P.K. Tapaswi A delay differential equations model of plankton allelopathy Math. Biosci. 149 1998 167 189
    • (1998) Math. Biosci. , vol.149 , pp. 167-189
    • Mukhopadhyay, A.1    Chattopadhyay, J.2    Tapaswi, P.K.3
  • 5
    • 33750838823 scopus 로고    scopus 로고
    • Extinction in two dimensional nonautonomous LotkaVolterra systems with the effect of toxic substances
    • Z. Li, and F.D. Chen Extinction in two dimensional nonautonomous LotkaVolterra systems with the effect of toxic substances Appl. Math. Comput. 182 2006 684 690
    • (2006) Appl. Math. Comput. , vol.182 , pp. 684-690
    • Li, Z.1    Chen, F.D.2
  • 6
    • 0036681280 scopus 로고    scopus 로고
    • Periodic solutions for delay differential equations model of plankton allelopathy
    • Z. Jin, and Z.E. Ma Periodic solutions for delay differential equations model of plankton allelopathy Comput. Math. Appl. 44 2002 491 500
    • (2002) Comput. Math. Appl. , vol.44 , pp. 491-500
    • Jin, Z.1    Ma, Z.E.2
  • 7
    • 34249794243 scopus 로고    scopus 로고
    • Dynamic behaviors of a delay differential equation model of plankton allelopathy
    • F.D. Chen, Z. Li, X.X. Chen, and J. Laitochov Dynamic behaviors of a delay differential equation model of plankton allelopathy J. Comput. Appl. Math. 206 2 2007 733 754
    • (2007) J. Comput. Appl. Math. , vol.206 , Issue.2 , pp. 733-754
    • Chen, F.D.1    Li, Z.2    Chen, X.X.3    Laitochov, J.4
  • 8
    • 28444459621 scopus 로고    scopus 로고
    • Periodic solution of a delay differential equation of plankton allelopathy
    • X.Y. Song, and L.S. Chen Periodic solution of a delay differential equation of plankton allelopathy Acta Math. Sci. 23A 1 2003 8 13
    • (2003) Acta Math. Sci. , vol.23 , Issue.1 , pp. 8-13
    • Song, X.Y.1    Chen, L.S.2
  • 12
    • 12444341915 scopus 로고    scopus 로고
    • The persistence in a LotkaVolterra competition systems with impulsive
    • Z. Jin, M.A. Han, and G.H. Li The persistence in a LotkaVolterra competition systems with impulsive Chaos Solitons Fractals 24 2005 1105 1117
    • (2005) Chaos Solitons Fractals , vol.24 , pp. 1105-1117
    • Jin, Z.1    Han, M.A.2    Li, G.H.3
  • 13
    • 77955772535 scopus 로고    scopus 로고
    • Asymptotic behavior of a periodic impulsive ordinary equations model of plankton allelopathy
    • X.Q. Li, J.W. Dou, and G.H. Song Asymptotic behavior of a periodic impulsive ordinary equations model of plankton allelopathy J. Biomath. 21 2006 216 224 (in Chinese)
    • (2006) J. Biomath. , vol.21 , pp. 216-224
    • Li, X.Q.1    Dou, J.W.2    Song, G.H.3
  • 14
    • 61349161706 scopus 로고    scopus 로고
    • On the existence of almost periodic solutions for the impulsive LasotaWazewska model
    • Gani Tr. Stamov On the existence of almost periodic solutions for the impulsive LasotaWazewska model Appl. Math. Lett. 22 4 2009 516 520
    • (2009) Appl. Math. Lett. , vol.22 , Issue.4 , pp. 516-520
    • Stamov, G.T.1
  • 15
    • 60549092564 scopus 로고    scopus 로고
    • Almost periodic solutions of N-dimensional impulsive competitive systems
    • Shair Ahmad, and Gani Tr. Stamov Almost periodic solutions of N-dimensional impulsive competitive systems Nonlinear Anal. RWA 10 3 2009 1846 1853
    • (2009) Nonlinear Anal. RWA , vol.10 , Issue.3 , pp. 1846-1853
    • Ahmad, S.1    Stamov, G.T.2
  • 17
    • 33846347689 scopus 로고    scopus 로고
    • Periodic solution of a two-species competitive system with toxicant and birth pulse
    • Z.J. Liu, and L.S. Chen Periodic solution of a two-species competitive system with toxicant and birth pulse Chaos Solitons Fractals 32 5 2007 1703 1712
    • (2007) Chaos Solitons Fractals , vol.32 , Issue.5 , pp. 1703-1712
    • Liu, Z.J.1    Chen, L.S.2
  • 18
    • 77955772439 scopus 로고    scopus 로고
    • Asymptotic stability of impulsive neural networks with time-varying delay
    • Ivanka M. Stamova, and Gani Tr. Stamov Asymptotic stability of impulsive neural networks with time-varying delay Int. J. Math. Manuscr. 1 1 2007 158 168
    • (2007) Int. J. Math. Manuscr. , vol.1 , Issue.1 , pp. 158-168
    • Stamova, I.M.1    Stamov, G.T.2
  • 19
    • 57749189099 scopus 로고    scopus 로고
    • Dynamic behaviors of the impulsive periodic multi-species predator-prey system
    • M.X. He, and F.D. Chen Dynamic behaviors of the impulsive periodic multi-species predator-prey system Comput. Math. Appl. 57 2 2009 248 265
    • (2009) Comput. Math. Appl. , vol.57 , Issue.2 , pp. 248-265
    • He, M.X.1    Chen, F.D.2
  • 20
    • 77950916980 scopus 로고    scopus 로고
    • Permanence, extinction and global attractivity of the periodic Gilpin-Ayala competition system with impulses
    • RWA, in press (doi:10.1016/j.nonrwa.2009.03.007)
    • M.X. He, Z. Li, F.D. Chen, Permanence, extinction and global attractivity of the periodic GilpinAyala competition system with impulses, Nonlinear Anal. RWA, in press (doi:10.1016/j.nonrwa.2009.03.007 )
    • Nonlinear Anal.
    • He, M.X.1    Li, Z.2    Chen, F.D.3
  • 21
    • 33845580863 scopus 로고    scopus 로고
    • Note on the permanence of a competitive system with infinite delay and feedback controls
    • F.D. Chen, Z. Li, and Y.J. Huang Note on the permanence of a competitive system with infinite delay and feedback controls Nonlinear Anal. RWA 8 2 2007 680 687
    • (2007) Nonlinear Anal. RWA , vol.8 , Issue.2 , pp. 680-687
    • Chen, F.D.1    Li, Z.2    Huang, Y.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.