Null controllability and application to data assimilation problem for a linear model of population dynamics

Oumar Traore[1]

  • [1] Laboratoire d’Analyse Mathématique des Equations (L.A.M.E) Université de Ouagadougou 03 BP 7021 Ouagadougou, 03 Burkina Faso

Annales mathématiques Blaise Pascal (2010)

  • Volume: 17, Issue: 2, page 375-399
  • ISSN: 1259-1734

Abstract

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In this paper we study a linear population dynamics model. In this model, the birth process is described by a nonlocal term and the initial distribution is unknown. The aim of this paper is to use a controllability result of the adjoint system for the computation of the density of individuals at some time T .

How to cite

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Traore, Oumar. "Null controllability and application to data assimilation problem for a linear model of population dynamics." Annales mathématiques Blaise Pascal 17.2 (2010): 375-399. <http://eudml.org/doc/116358>.

@article{Traore2010,
abstract = {In this paper we study a linear population dynamics model. In this model, the birth process is described by a nonlocal term and the initial distribution is unknown. The aim of this paper is to use a controllability result of the adjoint system for the computation of the density of individuals at some time $T$.},
affiliation = {Laboratoire d’Analyse Mathématique des Equations (L.A.M.E) Université de Ouagadougou 03 BP 7021 Ouagadougou, 03 Burkina Faso},
author = {Traore, Oumar},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Population dynamics; Carleman inequality; Null controllability; data assimilation problem; population dynamics; null controllability},
language = {eng},
month = {7},
number = {2},
pages = {375-399},
publisher = {Annales mathématiques Blaise Pascal},
title = {Null controllability and application to data assimilation problem for a linear model of population dynamics},
url = {http://eudml.org/doc/116358},
volume = {17},
year = {2010},
}

TY - JOUR
AU - Traore, Oumar
TI - Null controllability and application to data assimilation problem for a linear model of population dynamics
JO - Annales mathématiques Blaise Pascal
DA - 2010/7//
PB - Annales mathématiques Blaise Pascal
VL - 17
IS - 2
SP - 375
EP - 399
AB - In this paper we study a linear population dynamics model. In this model, the birth process is described by a nonlocal term and the initial distribution is unknown. The aim of this paper is to use a controllability result of the adjoint system for the computation of the density of individuals at some time $T$.
LA - eng
KW - Population dynamics; Carleman inequality; Null controllability; data assimilation problem; population dynamics; null controllability
UR - http://eudml.org/doc/116358
ER -

References

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  3. Bedr’Eddine Ainseba, Sebastian Aniţa, Internal exact controllability of the linear population dynamics with diffusion, Electron. J. Differential Equations (2004) Zbl1134.93311MR2108883
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  9. Zhilin Li, Kewang Zheng, An inverse problem in a parabolic equation, Proceedings of the Third Mississippi State Conference on Difference Equations and Computational Simulations (Mississippi State, MS, 1997) 1 (1998), 203-209 (electronic), Southwest Texas State Univ., San Marcos, TX Zbl0911.35121MR1672185
  10. J-P. Puel, Contrôlabilté des Equations d’Evolution, (2001) 
  11. J-P. Puel, A non standard approach to data assimilation problem and Tychonov regularization revisited, SIAM J. Control Optim. 48 (2009), 1089-1111 Zbl1194.93096MR2491591
  12. William Rundell, Determining the death rate for an age-structured population from census data, SIAM J. Appl. Math. 53 (1993), 1731-1746 Zbl0801.35150MR1247176
  13. Oumar Traore, Null controllability of a nonlinear population dynamics problem, Int. J. Math. Math. Sci. (2006) Zbl1127.93017MR2268531
  14. Oumar Traore, Approximate controllability and application to data assimilation problem for a linear population dynamics model, IAENG Int. J. Appl. Math. 37 (2007) Zbl1227.93088MR2384662

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