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Volumn 166, Issue 2, 2004, Pages 411-425

Global attractivity of nonautonomous stage-structured population models with dispersal and harvest

Author keywords

Concave operators; Dispersal; Harvest; Monotone; Periodic solution; Stage structure

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; HARVESTING; THEOREM PROVING;

EID: 1542425248     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.08.040     Document Type: Article
Times cited : (11)

References (23)
  • 1
    • 0025132577 scopus 로고
    • A time-delay model of single-species growth with stage structure
    • Aiello W.G. Freedman H.I. A time-delay model of single-species growth with stage structure Math. Biosci. 101 1990 139-153
    • (1990) Math. Biosci. , vol.101 , pp. 139-153
    • Aiello, W.G.1    Freedman, H.I.2
  • 2
    • 0001687872 scopus 로고
    • Analysis of a model representing stage-structured population growth with state-dependent time delay
    • Aiello W.G. Freedman H.I. Wu J. Analysis of a model representing stage-structured population growth with state-dependent time delay SIAM J. Appl. Math. 52 3 1992 855-869
    • (1992) SIAM J. Appl. Math. , vol.52 , Issue.3 , pp. 855-869
    • Aiello, W.G.1    Freedman, H.I.2    Wu, J.3
  • 3
    • 0000338930 scopus 로고
    • Persistence and extinction in single species reaction-dispersal models
    • Allen L.J.S. Persistence and extinction in single species reaction-dispersal models Bull. Math. Biol. 45 1983 209-227
    • (1983) Bull. Math. Biol. , vol.45 , pp. 209-227
    • Allen, L.J.S.1
  • 4
    • 3043002868 scopus 로고
    • A model for a single species with two life history stages and added mortality
    • Barclay H.J. Van Den Driessche P. A model for a single species with two life history stages and added mortality Ecol. Model 11 1980 157-166
    • (1980) Ecol. Model , vol.11 , pp. 157-166
    • Barclay, H.J.1    Van Den Driessche, P.2
  • 5
    • 0000839494 scopus 로고    scopus 로고
    • Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay
    • Beretta E. Takeuchi Y. Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay SIAM J. Appl. Math. 48 1998 627-651
    • (1998) SIAM J. Appl. Math. , vol.48 , pp. 627-651
    • Beretta, E.1    Takeuchi, Y.2
  • 6
    • 44049117474 scopus 로고
    • The effects of state-structured population growth model
    • Cao Y. Fan J. Gard T.C. The effects of state-structured population growth model Non. Anal. Theory Math. Appl. 16 2 1992 95-105
    • (1992) Non. Anal. Theory Math. Appl. , vol.16 , Issue.2 , pp. 95-105
    • Cao, Y.1    Fan, J.2    Gard, T.C.3
  • 8
    • 0032142293 scopus 로고    scopus 로고
    • The effect of dispersal on the time varying logistic population growth
    • Cui J. Chen L. The effect of dispersal on the time varying logistic population growth Comput. Math. Appl. 36 3 1998 1-9
    • (1998) Comput. Math. Appl. , vol.36 , Issue.3 , pp. 1-9
    • Cui, J.1    Chen, L.2
  • 9
    • 0021329114 scopus 로고
    • Stability results for delayed-recruitment models in population dynamics
    • Fisher M.E. Goh B.S. Stability results for delayed-recruitment models in population dynamics J. Math. Biol. 19 1984 147-156
    • (1984) J. Math. Biol. , vol.19 , pp. 147-156
    • Fisher, M.E.1    Goh, B.S.2
  • 10
    • 38249043753 scopus 로고
    • Mathematical models of population interactions with dispersal II. Differential survival in a change of habitat
    • Freedman H.I. Rai B. Waltman P. Mathematical models of population interactions with dispersal II. Differential survival in a change of habitat J. Math. Anal. Appl. 115 1986 140-154
    • (1986) J. Math. Anal. Appl. , vol.115 , pp. 140-154
    • Freedman, H.I.1    Rai, B.2    Waltman, P.3
  • 11
    • 0000664623 scopus 로고
    • Persistence and global asymptotic stability of single species dispersal models with stage structure
    • Freedman H.I. Wu J.H. Persistence and global asymptotic stability of single species dispersal models with stage structure Quart. Appl. Math. 2 1991 351-371
    • (1991) Quart. Appl. Math. , vol.2 , pp. 351-371
    • Freedman, H.I.1    Wu, J.H.2
  • 13
    • 0003293929 scopus 로고
    • Asymptotic Behavior of Dissipative Systems
    • Providence, RI: American Mathematical Society
    • Hale J.K. Asymptotic Behavior of Dissipative Systems Mathematical Surveys and Monographs Vol. 25 1988 American Mathematical Society Providence, RI
    • (1988) Mathematical Surveys and Monographs , vol.25
    • Hale, J.K.1
  • 14
    • 0020420302 scopus 로고
    • Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates
    • Hastings A. Dynamics of a single species in a spatially varying environment: the stabilizing role of high dispersal rates J. Math. Biol. 16 1982 49-55
    • (1982) J. Math. Biol. , vol.16 , pp. 49-55
    • Hastings, A.1
  • 16
    • 0000793907 scopus 로고
    • Dispersion and population interactions
    • Levin S.A. Dispersion and population interactions Amer. Nat. 108 1974 207-228
    • (1974) Amer. Nat. , vol.108 , pp. 207-228
    • Levin, S.A.1
  • 17
    • 0009636209 scopus 로고
    • Random dispersal in theoretical populations
    • Skellam J.G. Random dispersal in theoretical populations Biometrika 38 1951 196-218
    • (1951) Biometrika , vol.38 , pp. 196-218
    • Skellam, J.G.1
  • 18
    • 0001243427 scopus 로고
    • Monotone semiflow, generated by functional differential equations
    • Smith H.L. Monotone semiflow, generated by functional differential equations J. Differential Equation 66 1987 420-442
    • (1987) J. Differential Equation , vol.66 , pp. 420-442
    • Smith, H.L.1
  • 20
    • 0035051672 scopus 로고    scopus 로고
    • Optimal harvesting and stability for a two-species competitive system with stage structure
    • Song X. Chen L. Optimal harvesting and stability for a two-species competitive system with stage structure Math. Biosci. 170 2001 173-186
    • (2001) Math. Biosci. , vol.170 , pp. 173-186
    • Song, X.1    Chen, L.2
  • 21
    • 0002296770 scopus 로고
    • Cooperative system theory and global stability of dispersal models
    • Takeuchi Y. Cooperative system theory and global stability of dispersal models Acta Appl. Math. 14 1989 49-57
    • (1989) Acta Appl. Math. , vol.14 , pp. 49-57
    • Takeuchi, Y.1
  • 22
    • 0031176622 scopus 로고    scopus 로고
    • Global attractivity of periodic solutions of population models
    • Wang W. Fergola P. Tenneriello C. Global attractivity of periodic solutions of population models J. Math. Anal. Appl. 211 1997 498-511
    • (1997) J. Math. Anal. Appl. , vol.211 , pp. 498-511
    • Wang, W.1    Fergola, P.2    Tenneriello, C.3
  • 23


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.