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Volumn 2004, Issue , 2004, Pages 1-11

Multiple periodic solutions of a discrete time predator-prey systems with type IV functional responses

Author keywords

Coincidence degree; Delayed predator prey; Non autonomous difference equation; Periodic solution; Type IV functional response

Indexed keywords


EID: 3042634607     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (28)
  • 1
    • 4944258042 scopus 로고
    • Coupling in predatir-prey dynamics: Ratio-dependence
    • R. Arditi and L.R. Ginzburg, Coupling in predatir-prey dynamics: Ratio-dependence, J. Theoretical Biology, vol. 139, pp. 311-326, 1989.
    • (1989) J. Theoretical Biology , vol.139 , pp. 311-326
    • Arditi, R.1    Ginzburg, L.R.2
  • 2
    • 0000542895 scopus 로고
    • Variation in plankton densities among lakes: A case for ratio-dependent models
    • R. Arditi, L. R. Ginzburg and H. R. Akcakaya, Variation in plankton densities among lakes: A case for ratio-dependent models, American Naturalist, vol. 138, pp. 1287-1296, 1991.
    • (1991) American Naturalist , vol.138 , pp. 1287-1296
    • Arditi, R.1    Ginzburg, L.R.2    Akcakaya, H.R.3
  • 3
    • 0027100815 scopus 로고
    • Empirical evidence of the role of heterogeneity in ratio- dependent consumption
    • R. Arditi and H. Saiah, Empirical evidence of the role of heterogeneity in ratio- dependent consumption, Ecology, vol. 73, pp. 1544-1551, 1992.
    • (1992) Ecology , vol.73 , pp. 1544-1551
    • Arditi, R.1    Saiah, H.2
  • 5
    • 0026498891 scopus 로고
    • Population cycles of mammals: Evidence for a ratio-dependent predation hypothesis
    • H. L. Akcakaya, Population cycles of mammals: Evidence for a ratio-dependent predation hypothesis, Eco. Monogr., vol. pp. 119-142, 1992.
    • (1992) Eco. Monogr. , pp. 119-142
    • Akcakaya, H.L.1
  • 6
    • 0032058512 scopus 로고    scopus 로고
    • Global analysis in some delayed ratio-dependent predator-prey systems
    • E. Beretta & Y. Kuang, Global analysis in some delayed ratio-dependent predator-prey systems, Nonlinear Analysis TMA, vol. 32, no. 3, pp. 381-408, 1998.
    • (1998) Nonlinear Analysis TMA , vol.32 , Issue.3 , pp. 381-408
    • Beretta, E.1    Kuang, Y.2
  • 7
    • 0027075622 scopus 로고
    • The origins and evolution of predator-prey theory
    • A. A. Berryman, The origins and evolution of predator-prey theory, Ecology, vol. 73, pp. 1530-1535, 1992.
    • (1992) Ecology , vol.73 , pp. 1530-1535
    • Berryman, A.A.1
  • 8
    • 0043076446 scopus 로고    scopus 로고
    • Multiple periodic solutions of delayed predatorCprey systems with type IV functional responses
    • In Press
    • Y. chen, Multiple periodic solutions of delayed predatorCprey systems with type IV functional responses, Nonlinear Analysis: Real World Applications , In Press.
    • Nonlinear Analysis: Real World Applications
    • Chen, Y.1
  • 9
    • 2642587972 scopus 로고    scopus 로고
    • Periodic solutions of a discrete time non-autonomous ratio-dependent predator-prey system
    • M. Fan & K. Wang, Periodic solutions of a discrete time non-autonomous ratio-dependent predator-prey system, Mathematical and Computer Modelling, vol. 35, pp. 951-961, 2002.
    • (2002) Mathematical and Computer Modelling , vol.35 , pp. 951-961
    • Fan, M.1    Wang, K.2
  • 10
    • 0042793280 scopus 로고    scopus 로고
    • Periodicity in a delayed ratio-dependent predator-prey system
    • M. Fan & K. Wang, Periodicity in a delayed ratio-dependent predator-prey system, J. Math. Anal. Appl., vol. 262, no. 1, pp. 179-190, 2001.
    • (2001) J. Math. Anal. Appl. , vol.262 , Issue.1 , pp. 179-190
    • Fan, M.1    Wang, K.2
  • 11
    • 0003061332 scopus 로고
    • Persistence in ratio-dependent systems with ratiodependent predator influence
    • H. I. Freedman and R. M. Mathsen, Persistence in ratio-dependent systems with ratiodependent predator influence, Bull. Math. Biol., vol. 55, pp. 817-827, 1993.
    • (1993) Bull. Math. Biol. , vol.55 , pp. 817-827
    • Freedman, H.I.1    Mathsen, R.M.2
  • 12
    • 0001459814 scopus 로고
    • Periodic solutions of single species models with periodic delay
    • H. I. Freedman and J. Wu, Periodic solutions of single species models with periodic delay, SIAM J. Math. Anal., vol. 23, no. 3, pp. 689-701, 1992.
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.3 , pp. 689-701
    • Freedman, H.I.1    Wu, J.2
  • 15
    • 0027098565 scopus 로고
    • Consequences of ratio-dependent predation for steady state properties of ecosystems
    • L. R. Ginzburg and H. R. Akcakaya, Consequences of ratio-dependent predation for steady state properties of ecosystems, Ecology, vol. 73, pp. 1536-1543, 1992.
    • (1992) Ecology , vol.73 , pp. 1536-1543
    • Ginzburg, L.R.1    Akcakaya, H.R.2
  • 16
    • 0027084787 scopus 로고
    • The physiological basis of ratio-dependent predator-prey theory: A metabolic pool model of Nicholson's blowflies as an example
    • A. P. Gutierrez, The physiological basis of ratio-dependent predator-prey theory: A metabolic pool model of Nicholson's blowflies as an example, Ecology, vol. 73, pp. 1552-1563, 1992.
    • (1992) Ecology , vol.73 , pp. 1552-1563
    • Gutierrez, A.P.1
  • 18
    • 0033061694 scopus 로고    scopus 로고
    • About deterministic extinction in ratio-dependent predatorprey models
    • C. Jost, C. Arino & R. Arditi, About deterministic extinction in ratio-dependent predatorprey models, Bull. Math. Biol., vol. 61, pp. 19-32, 1999.
    • (1999) Bull. Math. Biol. , vol.61 , pp. 19-32
    • Jost, C.1    Arino, C.2    Arditi, R.3
  • 20
    • 0000941262 scopus 로고    scopus 로고
    • Rich dynamics of Gause-type ratio-dependent predator-prey systems
    • Y. Kuang, Rich dynamics of Gause-type ratio-dependent predator-prey systems, Fields Institute Communications, vol. 21, pp. 325-337, 1999.
    • (1999) Fields Institute Communications , vol.21 , pp. 325-337
    • Kuang, Y.1
  • 21
    • 0000252357 scopus 로고    scopus 로고
    • Global qualitative analysis of a ratio-dependent predator-prey systems
    • Y. Kuang & E. Beretta, Global qualitative analysis of a ratio-dependent predator-prey systems, J. Math. Biol., vol. 36, pp. 389-406, 1998.
    • (1998) J. Math. Biol. , vol.36 , pp. 389-406
    • Kuang, Y.1    Beretta, E.2
  • 23
    • 22644451723 scopus 로고    scopus 로고
    • Periodic solutions of a periodic delay predator-prey system
    • Y. Li, Periodic solutions of a periodic delay predator-prey system, Proc. Amer. Math. Soc., vol. 127, pp. 1331, 1999.
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 1331
    • Li, Y.1
  • 24
    • 0035285146 scopus 로고    scopus 로고
    • Periodic solutions of periodic delay Lotka-Volterra equations and systems
    • Y. Li & y. Kuang, Periodic solutions of periodic delay Lotka-Volterra equations and systems, J. Math. Anal. Appl., vol. 255, no. 1, pp. 260-280, 2001.
    • (2001) J. Math. Anal. Appl. , vol.255 , Issue.1 , pp. 260-280
    • Li, Y.1    Kuang, Y.2
  • 25
    • 0028887582 scopus 로고
    • Expected population density versus productivity in ratiodependent and predator-prey models
    • P. Lundberg and J. M. Fryxell, Expected population density versus productivity in ratiodependent and predator-prey models,American Naturalist, vol. 147, pp. 153-161, 1995.
    • (1995) American Naturalist , vol.147 , pp. 153-161
    • Lundberg, P.1    Fryxell, J.M.2
  • 27
    • 0002013883 scopus 로고
    • Differential equations with piecewise constant delays, Trends in theory and practice of nonlinear differential equations
    • Dekker, New York
    • J. Wiener, Differential equations with piecewise constant delays, Trends in theory and practice of nonlinear differential equations, In Lecture Notes in Pure and Appl. Math., vol. 90, Dekker, New York, 1984.
    • (1984) Lecture Notes in Pure and Appl. Math. , vol.90
    • Wiener, J.1
  • 28
    • 0002280685 scopus 로고    scopus 로고
    • Periodic solutions of a single species discrete population model with periodic harvest/stock
    • R. Y. Zhang, Z. C. Wang, Y. Chen and J. Wu, Periodic solutions of a single species discrete population model with periodic harvest/stock, Computers and Mathematicals with Applications, vol. 39, pp. 77-90, 2000.
    • (2000) Computers and Mathematicals with Applications , vol.39 , pp. 77-90
    • Zhang, R.Y.1    Wang, Z.C.2    Chen, Y.3    Wu, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.