메뉴 건너뛰기




Volumn 43, Issue 6, 2001, Pages 471-500

From chaos to chaos. An analysis of a discrete age-structured prey - predator model

Author keywords

Bifurcation; Population dynamics; Prey predator interaction; Stabilizing and destabilizing effects

Indexed keywords

AGING; ANIMAL; ARTICLE; NONLINEAR SYSTEM; POPULATION DYNAMICS; PREDATION;

EID: 0035751986     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850100101     Document Type: Article
Times cited : (26)

References (24)
  • 1
    • 0000775601 scopus 로고
    • Stability of discrete age-structured and aggregated delay-difference population models
    • Bergh, O., Getz, W. M.: Stability of discrete age-structured and aggregated delay-difference population models. J. Math. Biol. 26, 551-581 (1988)
    • (1988) J. Math. Biol. , vol.26 , pp. 551-581
    • Bergh, O.1    Getz, W.M.2
  • 2
    • 0031857698 scopus 로고    scopus 로고
    • Population cycles in small mammals: The problem of explaining the low phase
    • Boonstra, R., Krebs, C. J., Stenseth, N. C.: Population cycles in small mammals: The problem of explaining the low phase. Ecology 79(5), 1479-1488 (1998)
    • (1998) Ecology , vol.79 , Issue.5 , pp. 1479-1488
    • Boonstra, R.1    Krebs, C.J.2    Stenseth, N.C.3
  • 5
    • 0037615498 scopus 로고
    • A nonlinear ergodic theorem for discrete systems
    • Crowe, K. M.: A nonlinear ergodic theorem for discrete systems. J. Math. Biol. 32, 179-191 (1994)
    • (1994) J. Math. Biol. , vol.32 , pp. 179-191
    • Crowe, K.M.1
  • 6
    • 0000309488 scopus 로고
    • Nonlinear matrix models and population dynamics
    • Cushing, J. M.: Nonlinear matrix models and population dynamics. Nat. Resour. Model 2, 539-580 (1988)
    • (1988) Nat. Resour. Model , vol.2 , pp. 539-580
    • Cushing, J.M.1
  • 7
    • 0001209373 scopus 로고
    • A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations
    • Cushing, J. M.: A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Nat. Resour. Model 3, 331-356 (1989)
    • (1989) Nat. Resour. Model , vol.3 , pp. 331-356
    • Cushing, J.M.1
  • 9
    • 0030302697 scopus 로고    scopus 로고
    • An interdisciplinary approach to understanding nonlinear ecological dynamics
    • Cushing, J. M., Dennis, B., Desharnais, R. A., Costantino, R. F.: An interdisciplinary approach to understanding nonlinear ecological dynamics. Ecol. Model 92, 111-119 (1996)
    • (1996) Ecol. Model , vol.92 , pp. 111-119
    • Cushing, J.M.1    Dennis, B.2    Desharnais, R.A.3    Costantino, R.F.4
  • 10
    • 0030801712 scopus 로고    scopus 로고
    • Transition in population dynamics: Equilibria to periodic cycles to aperiodic cycles
    • Dennis, B., Desharnais, R. A., Cushing, J. M., Costantino, R. F.: Transition in population dynamics: equilibria to periodic cycles to aperiodic cycles. J. Animal Ecology 66, 704-729 (1997)
    • (1997) J. Animal Ecology , vol.66 , pp. 704-729
    • Dennis, B.1    Desharnais, R.A.2    Cushing, J.M.3    Costantino, R.F.4
  • 12
    • 0000100232 scopus 로고
    • Stability and return times of Leslie matrices with density-dependent survival; Applications of fish populations
    • DeAngelis, D. L., Svoboda, L. J., Christensen, S. W., Vaughan, D. S.: Stability and return times of Leslie matrices with density-dependent survival; Applications of fish populations. Ecol. Model 8, 149-163 (1980)
    • (1980) Ecol. Models , vol.8 , pp. 149-163
    • DeAngelis, D.L.1    Svoboda, L.J.2    Christensen, S.W.3    Vaughan, D.S.4
  • 13
    • 0023519322 scopus 로고
    • Stable demographic limit cycles in laboratory populations of Tribolium Castaneum
    • Desharnais, R. A., Liu, L.: Stable demographic limit cycles in laboratory populations of Tribolium Castaneum. J. Animal Ecology 56, 885-906 (1987)
    • (1987) J. Animal Ecology , vol.56 , pp. 885-906
    • Desharnais, R.A.1    Liu, L.2
  • 14
    • 0017781629 scopus 로고
    • The dynamics of density dependent population models
    • Guckenheimer, J., Oster, G., Ipaktchi, A.: The dynamics of density dependent population models. J. Math. Biol. 4, 101-147 (1977)
    • (1977) J. Math. Biol. , vol.4 , pp. 101-147
    • Guckenheimer, J.1    Oster, G.2    Ipaktchi, A.3
  • 16
    • 0018954975 scopus 로고
    • Analysis of an age-structured fishery model
    • Levin, S. A., Goodyear, P. H., Levin, S. A.: Analysis of an age-structured fishery model. J. Math. Biol. 9, 245-274 (1980)
    • (1980) J. Math. Biol. , vol.9 , pp. 245-274
    • Levin, S.A.1    Goodyear, P.H.2    Levin, S.A.3
  • 17
    • 0013212379 scopus 로고
    • Age-structure and stability in multiple-age spawning populations
    • Vincent T. L. Skowronski J. M., eds., Heidelberg: Springer-Verlag
    • Levin, S. A.: Age-structure and stability in multiple-age spawning populations. In: Renewable Resource Managements. (Vincent T. L. Skowronski J. M., eds.), Heidelberg: Springer-Verlag, (1981)
    • (1981) Renewable Resource Managements
    • Levin, S.A.1
  • 18
    • 0023085901 scopus 로고
    • Equilibrium and local stability in a logistic matrix model for age-structured populations
    • Liu, L., Cohen, J. E.: Equilibrium and local stability in a logistic matrix model for age-structured populations. J. Math. Biol. 25, 73-88 (1987)
    • (1987) J. Math. Biol. , vol.25 , pp. 73-88
    • Liu, L.1    Cohen, J.E.2
  • 19
    • 0003475470 scopus 로고
    • Springer Verlag, Berlin, Heidelberg, New York
    • Murray, J. D.: Mathematical Biology. Springer Verlag, Berlin, Heidelberg, New York, (1993)
    • (1993) Mathematical Biology
    • Murray, J.D.1
  • 20
    • 0000415620 scopus 로고
    • Effects of delay, truncation and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models
    • Silva, J. A., Hallam, T. G.: Effects of delay, truncation and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models. J. Math. Biol. 31, 367-395 (1993)
    • (1993) J. Math. Biol. , vol.31 , pp. 367-395
    • Silva, J.A.1    Hallam, T.G.2
  • 21
    • 0002703652 scopus 로고
    • Population dynamics of lemmings: Temporal and spatial variation
    • N C. Stenseth and R. A. Ims, Eds., Academic Press, London
    • Stenseth, N. C., Ims, R. A.: Population dynamics of lemmings: temporal and spatial variation. The Biology of Lemmings, N C. Stenseth and R. A. Ims, Eds., Academic Press, London, (1993)
    • (1993) The Biology of Lemmings
    • Stenseth, N.C.1    Ims, R.A.2
  • 22
    • 0028987916 scopus 로고
    • Periodicity of 4 in age-structured population models with density dependence
    • Wikan, A., Mjølhus, E.: Periodicity of 4 in age-structured population models with density dependence. J. Theor. Biol. 173, 109-119 (1995)
    • (1995) J. Theor. Biol. , vol.173 , pp. 109-119
    • Wikan, A.1    Mjølhus, E.2
  • 23
    • 0030318276 scopus 로고    scopus 로고
    • Overcompensatory recruitment and generation delay in discrete age-structured population models
    • Wikan, A., Mjølhus, E.: Overcompensatory recruitment and generation delay in discrete age-structured population models. J. Math. Biol. 35, 195-239 (1996)
    • (1996) J. Math. Biol. , vol.35 , pp. 195-239
    • Wikan, A.1    Mjølhus, E.2
  • 24
    • 0030870151 scopus 로고    scopus 로고
    • Dynamic consequences of reproductive delay in Leslie matrix models with nonlinear survival probabilities
    • Wikan A.: Dynamic consequences of reproductive delay in Leslie matrix models with nonlinear survival probabilities. Math. Biosci. 146, 37-62 (1997)
    • (1997) Math. Biosci. , vol.146 , pp. 37-62
    • Wikan, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.