메뉴 건너뛰기




Volumn 9, Issue 12, 2003, Pages 1083-1098

Multiple Attractors in Juvenile-adult Single Species Models

Author keywords

Age structure; Allee effect; Compensatory dynamics; Fractal basin boundaries; Multiple attractors; Overcompensatory dynamics

Indexed keywords


EID: 0141992081     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619031000146887     Document Type: Article
Times cited : (15)

References (34)
  • 4
    • 0003209221 scopus 로고    scopus 로고
    • Mathematical Models in Population Biology and Epidemiology
    • Springer Verlag, New York
    • F. Brauer and C. Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Texts in Applied Mathematics, Vol. 40, Springer Verlag, New York, 2001.
    • (2001) Texts in Applied Mathematics , vol.40
    • Brauer, F.1    Castillo-Chavez, C.2
  • 5
    • 0034770285 scopus 로고    scopus 로고
    • Dispersal, disease and life-History evolution
    • C. Castillo-Chavez and A. A. Yakubu, Dispersal, disease and life-History evolution, Math. Biosci., 173 (2001), 35-53.
    • (2001) Math. Biosci. , vol.173 , pp. 35-53
    • Castillo-Chavez, C.1    Yakubu, A.A.2
  • 6
    • 0011058386 scopus 로고    scopus 로고
    • Intraspecific competition, dispersal and disease dynamics in discrete-time patchy environments
    • Carlos Castillo-Chavez, Sally Blower, Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, eds, Springer-Verlag, New York
    • C. Castillo-Chavez and A. A. Yakubu, "Intraspecific competition, dispersal and disease dynamics in discrete-time patchy environments", In: Carlos Castillo-Chavez, Sally Blower, Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, eds, Mathematical Approaches For Emerging and Reemerging Infectious Diseases: An Introduction to Models, Methods and Theory, Springer-Verlag, New York, 2002.
    • (2002) Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction to Models, Methods and Theory
    • Castillo-Chavez, C.1    Yakubu, A.A.2
  • 8
    • 0003981716 scopus 로고    scopus 로고
    • Chapman Hill, Boca Raton, FL
    • S. N. Elaydi, Discrete Chaos, Chapman Hill, Boca Raton, FL, 2002.
    • (2002) Discrete Chaos
    • Elaydi, S.N.1
  • 9
    • 0036622687 scopus 로고    scopus 로고
    • Global stability of cycles: Lotka-Vblterra competition model with stocking
    • S. N. Elaydi and A. A. Yakubu, Global stability of cycles: Lotka-Vblterra competition model with stocking, J. Diff. Equ. Appl, 8(6) (2002), 537-549.
    • (2002) J. Diff. Equ. Appl , vol.8 , Issue.6 , pp. 537-549
    • Elaydi, S.N.1    Yakubu, A.A.2
  • 10
    • 0036697688 scopus 로고    scopus 로고
    • Basins of attraction of stable cycles
    • S. N. Elaydi and A. A. Yakubu, Basins of attraction of stable cycles, J. Diff. Equ. Appl., 8(8) (2002), 755-760.
    • (2002) J. Diff. Equ. Appl. , vol.8 , Issue.8 , pp. 755-760
    • Elaydi, S.N.1    Yakubu, A.A.2
  • 11
    • 0141938731 scopus 로고    scopus 로고
    • Doctoral Dissertation, Mathematics Department, Howard University, Washington, DC
    • S. Farmer, Doctoral Dissertation, Mathematics Department, Howard University, Washington, DC.
    • Farmer, S.1
  • 12
    • 0001098703 scopus 로고
    • Population exclusion in a one-hump discrete pioneer-climax competitive system
    • J. Franke and A. A. Yakubu, Population exclusion in a one-hump discrete pioneer-climax competitive system, J. Math. Biol., 32 (1994), 771-787.
    • (1994) J. Math. Biol. , vol.32 , pp. 771-787
    • Franke, J.1    Yakubu, A.A.2
  • 13
    • 37049182192 scopus 로고
    • Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics
    • C. Grebogi, E. Ott and J. A. Yorke, Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics, Science, 228 (1987), 632-638.
    • (1987) Science , vol.228 , pp. 632-638
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 14
    • 0017781629 scopus 로고
    • The dynamics of density dependent population models
    • J. Guckenheimer, G. Oster and A. Ipaktchi, The dynamics of density dependent population models, J. Math. Biol., 4 (1977), 101-147.
    • (1977) J. Math. Biol. , vol.4 , pp. 101-147
    • Guckenheimer, J.1    Oster, G.2    Ipaktchi, A.3
  • 15
    • 0028972164 scopus 로고
    • Multiple equilibria in metapopulation dynamics
    • I. Hanski, J. Poyry, T. Pakkala and M. Kuussaari, Multiple equilibria in metapopulation dynamics, Nature, 377 (1995), 618-621.
    • (1995) Nature , vol.377 , pp. 618-621
    • Hanski, I.1    Poyry, J.2    Pakkala, T.3    Kuussaari, M.4
  • 17
    • 0001717061 scopus 로고
    • Patterns of dynamical behavior in single species populations
    • M. P. Hassell, J. H. Lawton and R. M. May, Patterns of dynamical behavior in single species populations, J. Anim. Ecol., 45 (1976), 471-486.
    • (1976) J. Anim. Ecol. , vol.45 , pp. 471-486
    • Hassell, M.P.1    Lawton, J.H.2    May, R.M.3
  • 18
    • 0027487578 scopus 로고
    • Complex interactions between dispersal and dynamics: Lessons from coupled logistic equations
    • A. Hastings, Complex interactions between dispersal and dynamics: Lessons from coupled logistic equations, Ecology, 75 (1993), 1362-1372.
    • (1993) Ecology , vol.75 , pp. 1362-1372
    • Hastings, A.1
  • 20
    • 0000348814 scopus 로고    scopus 로고
    • Hierarchical models of intraspecific competition: Scramble versus contest
    • S. M. Henson and J. M. Cushing, Hierarchical models of intraspecific competition: scramble versus contest, J. Math. Biol., 34 (1996), 755-772.
    • (1996) J. Math. Biol. , vol.34 , pp. 755-772
    • Henson, S.M.1    Cushing, J.M.2
  • 22
    • 0002244777 scopus 로고
    • Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
    • I. Kan, Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin, Bull. AMS, 31(1) (1994), 68-74.
    • (1994) Bull. AMS , vol.31 , Issue.1 , pp. 68-74
    • Kan, I.1
  • 23
    • 0031868821 scopus 로고    scopus 로고
    • Allee effect and population dynamics in the Glanville fritillary butterfly
    • M. Kuussaari, I. Saccheri, M. Camara and I. Hanski, Allee effect and population dynamics in the Glanville fritillary butterfly, Oikos, 82 (1998), 384-392.
    • (1998) Oikos , vol.82 , pp. 384-392
    • Kuussaari, M.1    Saccheri, I.2    Camara, M.3    Hanski, I.4
  • 24
    • 0000336301 scopus 로고
    • Bifurcations and dynamic complexity in simple ecological models
    • R. M. May and G. F. Oster, Bifurcations and dynamic complexity in simple ecological models, Am. Naturalist, 110 (1976), 573-579.
    • (1976) Am. Naturalist , vol.110 , pp. 573-579
    • May, R.M.1    Oster, G.F.2
  • 25
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • R. M. May, Simple mathematical models with very complicated dynamics, Nature, 261 (1977), 459-469.
    • (1977) Nature , vol.261 , pp. 459-469
    • May, R.M.1
  • 28
    • 84970543436 scopus 로고
    • Compensatory reactions of populations to stresses, and their evolutionary significance
    • A. J. Nicholson, Compensatory reactions of populations to stresses, and their evolutionary significance, Aust. J. Zool., 2 (1954), 1-65.
    • (1954) Aust. J. Zool. , vol.2 , pp. 1-65
    • Nicholson, A.J.1
  • 29
    • 0000722180 scopus 로고
    • Stock and recruitment
    • W. E. Ricker, Stock and recruitment, J. Fish. Res. Board Canada, II(5) (1954), 559-623.
    • (1954) J. Fish. Res. Board Canada , vol.2 , Issue.5 , pp. 559-623
    • Ricker, W.E.1
  • 30
    • 0004046327 scopus 로고
    • Difference Equations
    • Van Nostrand Reinhold Co., New York
    • Ronald E. Mickens, Difference Equations. Theory and Applications, 2nd Ed., Van Nostrand Reinhold Co., New York, 1990.
    • (1990) Theory and Applications, 2nd Ed.
    • Mickens, R.E.1
  • 31
    • 0004190745 scopus 로고
    • Van Nostrand Reinhold Co., New York
    • Ronald E. Mickens, Difference Equations, Van Nostrand Reinhold Co., New York, 1987.
    • (1987) Difference Equations
    • Mickens, R.E.1
  • 32
    • 0037505921 scopus 로고    scopus 로고
    • Discrete-time metapopulation dynamics and unidirectional dispersal
    • A. A. Yakubu, Discrete-time metapopulation dynamics and unidirectional dispersal, J. Differ. Equ. Appl., 9(7) (2003), 633-653.
    • (2003) J. Differ. Equ. Appl. , vol.9 , Issue.7 , pp. 633-653
    • Yakubu, A.A.1
  • 33
    • 0036402638 scopus 로고    scopus 로고
    • Interplay between local dynamics and dispersal in discrete-time metapopulation models
    • A. A. Yakubu and C. Castillo-Chavez, Interplay between local dynamics and dispersal in discrete-time metapopulation models, J. Theoretical Biol., 218 (2002), 273-288.
    • (2002) J. Theoretical Biol. , vol.218 , pp. 273-288
    • Yakubu, A.A.1    Castillo-Chavez, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.