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Discrete and Continuous Dynamical Systems - Series S
Volumn 1, Issue 2, 2008, Pages 303-315
Dynamics of ratio-dependent predator-prey models with nonconstant harvesting
Author keywords

Dynamical systems; Harvesting; Predator prey models
Indexed keywords

EID: 77953346143     PISSN: 19371632     EISSN: 19371179     Source Type: Journal    
DOI: 10.3934/dcdss.2008.1.303     Document Type: Article
Times cited : (61)
References (10)
  • 1
    • 0026498891 scopus 로고
    • Population cycles of mammals: Evidence for a ratio-dependent predation hypothesis
    • H. R. Akcakaya, Population cycles of mammals: evidence for a ratio-dependent predation hypothesis, Ecol. Monographs, 62(1992), 119-142.
    • (1992) Ecol. Monographs , vol.62 , pp. 119-142
    • Akcakaya, H.R.1
  • 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, Amer. Naturalist, 138(1991), 1287-1296.
    • (1991) Amer. Naturalist , vol.138 , pp. 1287-1296
    • Arditi, R.1    Ginzburg, L.R.2    Akcakaya, H.R.3
  • 3
    • 0033180314 scopus 로고    scopus 로고
    • Effects of spatial grouping on the functional response of predators
    • DOI 10.1006/tpbi.1999.1414
    • J. S. Ault, C. Cosner, D. L. De Angelis and D. B. Olson, Effects of spatial grouping on the functional response of predators, Theory of Popul. Biol., 56(1999), 65-75. (Pubitemid 29395865)
    • (1999) Theoretical Population Biology , vol.56 , Issue.1 , pp. 65-75
    • Cosner, C.1    Deangelis, D.L.2    Ault, J.S.3    Olson, D.B.4
  • 4
    • 4043102017 scopus 로고    scopus 로고
    • Point-to-periodic and periodic-to-periodic connections
    • DOI 10.1023/B:BITN.0000025093.38710.f6
    • L. Dieci and J. Rebaza, Point-to-periodic and periodic-to-periodic connections. BIT Numerical Mathematics, 44(2004), 41-62. (Pubitemid 39056579)
    • (2004) BIT Numerical Mathematics , vol.44 , Issue.1 , pp. 41-62
    • Dieci, L.1    Rebaza, J.2
  • 5
    • 0003945142 scopus 로고    scopus 로고
    • Simulating, analyzing, and animating dynamical sytems
    • B. Ermentrout, "Simulating, Analyzing, and Animating Dynamical Sytems", SIAM, 2002.
    • (2002) SIAM
    • Ermentrout, B.1
  • 6
    • 0028974970 scopus 로고
    • Ratio-dependent predation: An abstraction that works
    • L. R. Ginzburg, H. R. Akcakaya and R. Arditi. Ratio-dependent predation: an abstraction that works, Ecology, 76(1995), 995-1004.
    • (1995) Ecology , vol.76 , pp. 995-1004
    • Ginzburg, L.R.1    Akcakaya, H.R.2    Arditi, R.3
  • 7
    • 8144220445 scopus 로고    scopus 로고
    • Differential equations and dynamical systems
    • Springer Verlag
    • L. Perko, "Differential Equations and Dynamical Systems", Texts in Appl. Math. Vol 7, Springer Verlag, 2001.
    • (2001) Texts in Appl. Math , vol.7
    • Perko, L.1
  • 8
    • 33845600015 scopus 로고    scopus 로고
    • Smooth Schur factorizations in the continuation of separatrices
    • DOI 10.1016/j.laa.2006.04.004, PII S0024379506002072, 12th ILAS Conference
    • J. Rebaza, Smooth Schur factorizations in the continuation of separatrices, Lin Alg and Appl., 421(2007), 138-156. (Pubitemid 44958729)
    • (2007) Linear Algebra and Its Applications , vol.421 , Issue.1 , pp. 138-156
    • Rebaza, J.1
  • 9
    • 21244504319 scopus 로고    scopus 로고
    • Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting
    • DOI 10.1137/S0036139903428719
    • D. Xiao, L. S. Jennings and L. Stephen, Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting, SIAM J. Appl. Math., 65(2005), 737-753. (Pubitemid 40892123)
    • (2005) SIAM Journal on Applied Mathematics , vol.65 , Issue.3 , pp. 737-753
    • Xiaq, D.1    Jennings, L.S.2
  • 10
    • 0035464834 scopus 로고    scopus 로고
    • Global dynamics of a ratio-dependent predator-prey system
    • D. Xiao and S. Ruan, Global dynamics of a ratio-dependent predator-prey system, J. Mathem. Biol., 43(2001), 268-290. (Pubitemid 33773345)
    • (2001) Journal of Mathematical Biology , vol.43 , Issue.3 , pp. 268-290
    • Xiao, D.1    Ruan, S.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.