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Volumn 12, Issue 6, 2011, Pages 3315-3328

Parameter identification in multistage population dynamics model

Author keywords

Age structured model; Experimental data; Lagrangian; Parameter estimation; Population dynamics; Quasi Newton algorithm

Indexed keywords

AGE STRUCTURED MODEL; EXPERIMENTAL DATA; LAGRANGIAN; NON-LINEAR OPTIMIZATION PROBLEMS; NUMERICAL APPLICATIONS; PARAMETER IDENTIFICATION PROBLEMS; POPULATION DYNAMICS MODELS; QUASI-NEWTON ALGORITHM; QUASI-NEWTON METHODS;

EID: 80052038296     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.05.030     Document Type: Article
Times cited : (15)

References (24)
  • 3
    • 0001296184 scopus 로고
    • A new model for age-size structure of a population
    • J.W. Sinko, and W. Streifer A new model for age-size structure of a population Ecology 48 1967 910 918
    • (1967) Ecology , vol.48 , pp. 910-918
    • Sinko, J.W.1    Streifer, W.2
  • 4
    • 34548680344 scopus 로고    scopus 로고
    • Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides
    • DOI 10.1007/s11538-007-9207-z
    • H.T. Banks, J.E. Banks, L.K. Dick, and J.D. Stark Estimation of dynamics rate parameters in insect populations undergoing sublethal exposure to pesticides Bulletin of Mathematical Biology 69 2007 2139 2180 (Pubitemid 47415548)
    • (2007) Bulletin of Mathematical Biology , vol.69 , Issue.7 , pp. 2139-2180
    • Banks, H.T.1    Banks, J.E.2    Dick, L.K.3    Stark, J.D.4
  • 5
    • 0002955909 scopus 로고
    • A model of physiologically structured population dynamics with a nonlinear individual growth rate
    • A. Calsina, and J. Saldana A model of physiologically structured population dynamics with a nonlinear individual growth rate Journal of Mathematical Biology 33 1995 335 364
    • (1995) Journal of Mathematical Biology , vol.33 , pp. 335-364
    • Calsina, A.1    Saldana, J.2
  • 7
    • 51249171217 scopus 로고
    • Numerical methods for a model of population dynamics
    • J. Douglas, and F.A. Milner Numerical methods for a model of population dynamics Calcolo 24 1987 247 254
    • (1987) Calcolo , vol.24 , pp. 247-254
    • Douglas, J.1    Milner, F.A.2
  • 8
    • 0037232159 scopus 로고    scopus 로고
    • An explicit third-order numerical method for size-structured population equations
    • T. Kostova An explicit third-order numerical method for size-structured population equations Methods for Partial Differential Equations 19 2003 1 21
    • (2003) Methods for Partial Differential Equations , vol.19 , pp. 1-21
    • Kostova, T.1
  • 9
    • 0000862313 scopus 로고
    • Numerical solution of structured population models. II Mass structure
    • D. Sulsky Numerical solution of structured population models. II Mass structure Journal of Mathematical Biology 32 1994 491 514
    • (1994) Journal of Mathematical Biology , vol.32 , pp. 491-514
    • Sulsky, D.1
  • 11
    • 0033230042 scopus 로고    scopus 로고
    • Parameter identification in size-structured population models with nonlinear individual rates
    • A.S. Ackleh Parameter identification in size-structured population models with nonlinear individual rates Mathematical and Computer Modelling 30 1999 81 92
    • (1999) Mathematical and Computer Modelling , vol.30 , pp. 81-92
    • Ackleh, A.S.1
  • 12
    • 79956077157 scopus 로고    scopus 로고
    • An innovating multistage, physiologically structured, population model to understand the European grapevine moth dynamics
    • B. Ainseba, D. Picart, and D. Thiéry An innovating multistage, physiologically structured, population model to understand the European grapevine moth dynamics Journal of Mathematical Analysis and Applications 382 2011 34 46
    • (2011) Journal of Mathematical Analysis and Applications , vol.382 , pp. 34-46
    • Ainseba, B.1    Picart, D.2    Thiéry, D.3
  • 14
    • 0027684762 scopus 로고
    • Second-order accurate difference methods for a one-sex model of population dynamics
    • Y. Kwon, and C.K. Cho Second-order accurate difference methods for a one-sex model of population dynamics SIAM Journal on Numerical Analysis 30 5 1993 1385 1399
    • (1993) SIAM Journal on Numerical Analysis , vol.30 , Issue.5 , pp. 1385-1399
    • Kwon, Y.1    Cho, C.K.2
  • 15
    • 0034714169 scopus 로고    scopus 로고
    • Numerical integration of nonlinear size-structured population equations
    • O. Angulo, and J.C. Lopez-Marcos Numerical integration of nonlinear size-structured population equations Ecological Modelling 133 2000 3 14
    • (2000) Ecological Modelling , vol.133 , pp. 3-14
    • Angulo, O.1    Lopez-Marcos, J.C.2
  • 16
    • 1842522902 scopus 로고    scopus 로고
    • Numerical integration of fully nonlinear size-structured population models
    • O. Angulo, and J.C. Lopez-Marcos Numerical integration of fully nonlinear size-structured population models Applied Numerical Mathematics 50 2004 291 327
    • (2004) Applied Numerical Mathematics , vol.50 , pp. 291-327
    • Angulo, O.1    Lopez-Marcos, J.C.2
  • 17
    • 0031269167 scopus 로고    scopus 로고
    • An implicit finite difference scheme for the nonlinear size-structured population model
    • A.S. Ackleh, and K. Ito An implicit finite difference scheme for nonlinear size-structured population model Numerical Functional Analysis and Optimization 18 1997 865 884 (Pubitemid 127588986)
    • (1997) Numerical Functional Analysis and Optimization , vol.18 , Issue.9-10 , pp. 865-884
    • Ackleh, A.S.1    Ito, K.2
  • 18
    • 0032683050 scopus 로고    scopus 로고
    • Parameter estimation in nonlinear age-dependent population dynamics
    • C. Cho, and Y. Kwon Parameter estimation in nonlinear age-dependent population dynamics IMA Journal of Applied Mathematics 62 1999 227 244
    • (1999) IMA Journal of Applied Mathematics , vol.62 , pp. 227-244
    • Cho, C.1    Kwon, Y.2
  • 19
    • 34247398380 scopus 로고    scopus 로고
    • Local and superlinear convergence of quasi-Newton methods based on modified secant conditions
    • DOI 10.1016/j.cam.2006.05.018, PII S037704270600344X
    • H. Yabe, H. Ogasawara, and M. Yoshino Local and superlinear convergence of QuasiNewton methods based on modified secant conditions Journal of Computational and Applied Mathematics 205 2007 617 632 (Pubitemid 46636096)
    • (2007) Journal of Computational and Applied Mathematics , vol.205 , Issue.1 , pp. 617-632
    • Yabe, H.1    Ogasawara, H.2    Yoshino, M.3
  • 21
    • 0026138621 scopus 로고
    • Determining a coefficient in a first-order hyperbolic equation
    • M. Pilant, and W. Rundell Determining a coefficient in a first-order hyperbolic equation SIAM Journal on Applied Mathematics 51 1991 494 506
    • (1991) SIAM Journal on Applied Mathematics , vol.51 , pp. 494-506
    • Pilant, M.1    Rundell, W.2
  • 22
    • 0025928888 scopus 로고
    • Determining the initial age distribution for an age structured population
    • M. Pilant, and W. Rundell Determining the initial age distribution for an age structured population Mathematical Population Studies 3 1991 3 20
    • (1991) Mathematical Population Studies , vol.3 , pp. 3-20
    • Pilant, M.1    Rundell, W.2
  • 23
    • 0024310637 scopus 로고
    • Determining the birth function for age structured population
    • W. Rundell Determining the birth function for age structured population Mathematical Population Studies 1 4 1989 377 395
    • (1989) Mathematical Population Studies , vol.1 , Issue.4 , pp. 377-395
    • Rundell, W.1
  • 24
    • 0027887882 scopus 로고
    • Determining the death rate for an age-structured population from census data
    • W. Rundell Determining the death rate for an age-structured population from census data SIAM Journal of Applied Mathematics 53 1993 1731 1746
    • (1993) SIAM Journal of Applied Mathematics , vol.53 , pp. 1731-1746
    • Rundell, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.