메뉴 건너뛰기




Volumn 215, Issue 2, 2005, Pages 268-319

Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations

Author keywords

Boundedness; Continuation; Continuous dependence; Global existence; Interaction variable; Nonlinear dynamical system; Structured population; Weak*

Indexed keywords


EID: 18144412421     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.10.025     Document Type: Article
Times cited : (34)

References (30)
  • 1
    • 4444323875 scopus 로고
    • Gewöhnliche Differentialgleichungen
    • Berlin, New York: Walter de Gruyter
    • H. Amann Gewöhnliche Differentialgleichungen 1995 Walter de Gruyter Berlin, New York
    • (1995)
    • Amann, H.1
  • 2
    • 0345390069 scopus 로고    scopus 로고
    • Numerical schemes for size-structured population equations
    • O. Angulo J.C. Lopez-Marcos Numerical schemes for size-structured population equations Math. Biosci. 157 1999 169-188
    • (1999) Math. Biosci. , vol.157 , pp. 169-188
    • Angulo, O.1    Lopez-Marcos, J.C.2
  • 3
    • 0036240335 scopus 로고    scopus 로고
    • Numerical integration of autonomous and nonautonomous non-linear size-structured population models
    • O. Angulo J.C. Lopez-Marcos Numerical integration of autonomous and nonautonomous non-linear size-structured population models Math. Biosci. 177,178 2002 39-71
    • (2002) Math. Biosci. , vol.177-178 , pp. 39-71
    • Angulo, O.1    Lopez-Marcos, J.C.2
  • 4
    • 1842522902 scopus 로고    scopus 로고
    • Numerical integration of fully non-linear size-structured population models
    • O. Angulo, J.C. Lopez-Marcos, Numerical integration of fully non-linear size-structured population models, Appl. Numer. Math. 50(3-4) (2004) 291-327.
    • (2004) Appl. Numer. Math. , vol.50 , Issue.3-4 , pp. 291-327
    • Angulo, O.1    Lopez-Marcos, J.C.2
  • 5
    • 0000065650 scopus 로고    scopus 로고
    • Existence of periodic solutions for delay differential equations with state dependent delay
    • O. Arino K.P. Hadeler M.L. Hbid Existence of periodic solutions for delay differential equations with state dependent delay J. Differential Equations 144 2 1998 301-362
    • (1998) J. Differential Equations , vol.144 , Issue.2 , pp. 301-362
    • Arino, O.1    Hadeler, K.P.2    Hbid, M.L.3
  • 7
    • 0141905275 scopus 로고    scopus 로고
    • Bistability in a size-structured population model of cannibalistic fish - A continuation study
    • D. Claessen A.M. de Roos Bistability in a size-structured population model of cannibalistic fish-a continuation study Theoret. Pop. Biol. 64 1 2003 49-65
    • (2003) Theoret. Pop. Biol. , vol.64 , Issue.1 , pp. 49-65
    • Claessen, D.1    de Roos, A.M.2
  • 8
    • 0001667726 scopus 로고
    • Studying the dynamics of structured population models: A versatile technique and its application to Daphnia
    • A.M. de Roos O. Diekmann J.A.J. Metz Studying the dynamics of structured population models: A versatile technique and its application to Daphnia Amer. Nat. 139 1992 123-147
    • (1992) Amer. Nat. , vol.139 , pp. 123-147
    • de Roos, A.M.1    Diekmann, O.2    Metz, J.A.J.3
  • 10
    • 0035433541 scopus 로고    scopus 로고
    • On the formulation and analysis of general deterministic structured population models: II. Nonlinear theory
    • O. Diekmann M. Gyllenberg H. Huang M. Kirkilionis J.A.J. Metz H.R. Thieme On the formulation and analysis of general deterministic structured population models: II. Nonlinear theory J. Math. Biol. 43 2001 157-189
    • (2001) J. Math. Biol. , vol.43 , pp. 157-189
    • Diekmann, O.1    Gyllenberg, M.2    Huang, H.3    Kirkilionis, M.4    Metz, J.A.J.5    Thieme, H.R.6
  • 12
    • 0000201875 scopus 로고    scopus 로고
    • On the formulation and analysis of general deterministic structured population models: I. Linear theory
    • O. Diekmann M. Gyllenberg J.A.J. Metz H.R. Thieme On the formulation and analysis of general deterministic structured population models: I. Linear theory J. Math. Biol. 36 1998 349-388
    • (1998) J. Math. Biol. , vol.36 , pp. 349-388
    • Diekmann, O.1    Gyllenberg, M.2    Metz, J.A.J.3    Thieme, H.R.4
  • 16
    • 18144362648 scopus 로고    scopus 로고
    • Steady state analysis for a size structured cannibalism model with two dynamic resources
    • Ph. Getto, Ph.D. Thesis, in preparation
    • Ph. Getto, O. Diekmann, A.M. de Roos, Steady state analysis for a size structured cannibalism model with two dynamic resources, in: Ph. Getto, Ph.D. Thesis, in preparation.
    • Getto, Ph.1    Diekmann, O.2    de Roos, A.M.3
  • 22
    • 0037431220 scopus 로고    scopus 로고
    • Boundary layer phenomena for differential-delay equations with state-dependent time lags: III
    • J. Mallet Paret R.D. Nussbaum Boundary layer phenomena for differential-delay equations with state-dependent time lags: III J. Differential Equations 189 2003 640-692
    • (2003) J. Differential Equations , vol.189 , pp. 640-692
    • Mallet Paret, J.1    Nussbaum, R.D.2
  • 23
    • 18144408535 scopus 로고
    • Limiting equations for problems involving long range memory
    • M. Marcus V. Mizel Limiting equations for problems involving long range memory Mem. AMS 43 1983 278
    • (1983) Mem. AMS , vol.43 , pp. 278
    • Marcus, M.1    Mizel, V.2
  • 24
    • 0003157238 scopus 로고
    • The Dynamics of Physiologically Structured Populations
    • Springer Berlin
    • J.A.J. Metz O. Diekmann The Dynamics of Physiologically Structured Populations Lecture Notes in Biomathematics vol. 68 1986 Springer Berlin
    • (1986) Lecture Notes in Biomathematics , vol.68
    • Metz, J.A.J.1    Diekmann, O.2
  • 25
    • 0001687223 scopus 로고
    • Stability analysis for equilibria in age-specific population dynamics
    • J. Prüss Stability analysis for equilibria in age-specific population dynamics Nonlinear Anal. 7 1983 1291-1313
    • (1983) Nonlinear Anal. , vol.7 , pp. 1291-1313
    • Prüss, J.1
  • 27
    • 0002394599 scopus 로고
    • Dichotomies for linear evolutionary equations in Banach spaces
    • R.J. Sacker G.R. Sell Dichotomies for linear evolutionary equations in Banach spaces J. Differential Equations 113 1994 17-67
    • (1994) J. Differential Equations , vol.113 , pp. 17-67
    • Sacker, R.J.1    Sell, G.R.2
  • 28
    • 18144402578 scopus 로고    scopus 로고
    • PDEs and ∞-dim
    • Lecture notes (unpublished)
    • H. Thieme, PDEs and ∞-dim, Dynamical Systems, Lecture notes (unpublished).
    • Dynamical Systems
    • Thieme, H.1
  • 29
    • 0345446583 scopus 로고    scopus 로고
    • 1-smoothness for differential equations with state-dependent delay
    • 1-smoothness for differential equations with state-dependent delay J. Differential Equations 195 2003 46-65
    • (2003) J. Differential Equations , vol.195 , pp. 46-65
    • Walther, H.-O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.