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Age Structured Population Dynamics

  • Conference paper
Inverse Methods in Action

Part of the book series: Inverse Problems and Theoretical Imaging ((IPTI))

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Abstract

This talk considers the problem of determining unknown coefficients in a first order hyperbolic operator subject to both initial and boundary data We wish to recover either this data or coefficients that occur in the equation itself or in the boundary conditions.

This research was supported in part by AFOSR and NSF through grant #DMS8701338 and by ONR through grant #ONR N00014-89-J1008.

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References

  1. Gurtin, M. E and MacCamy, R. C. Nonlinear age dependent population dynamics, Archives for Rational Mechanics and Analysis. 54, (1974), 281–300.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Hoppensteadt, F. An age dependent epidemic model, Journal Franklin Institute, 297, (1974), 325–333.

    Article  MATH  Google Scholar 

  3. Lotka, A. J. (1956) Elements of Mathematical Biology, New York: Dover.

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  4. McKendrick, A. G. Applications of mathematics to medical problems, Proceedings Edinburgh Mathematics Society, 44, (1926), 98–130.

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  5. Pilant, M and Rundell, W. Determining the initial age distribution for an age structured population, Submitted.

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  6. Pilant, M and Rundell, W. Determining a coefficient in a first order hyperbolic equation, Submitted.

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  7. Rundell, W. Determining the birth function for an age structured population, Mathematical Population Studies, 4, (1989)

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  8. Webb, G. F. Theory of Nonlinear Age-dependent Population Dynamics, New York: Marcel Dekker (1985).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    M. Pilant & W. Rundell

Authors
  1. M. Pilant
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  2. W. Rundell
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Editor information

Editors and Affiliations

  1. Laboratoire de Physique Mathématique, Université des Sciences et Techniques du Languedoc, Place Eugène Bataillon, F-34060, Montpellier Cedex, France

    Pierre C. Sabatier

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© 1990 Springer-Verlag Berlin Heidelberg

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Pilant, M., Rundell, W. (1990). Age Structured Population Dynamics. In: Sabatier, P.C. (eds) Inverse Methods in Action. Inverse Problems and Theoretical Imaging. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75298-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-75298-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-75300-8

  • Online ISBN: 978-3-642-75298-8

  • eBook Packages: Springer Book Archive

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