A Regularization Scheme for an Inverse Problem in Age-Structured Populations Academic Article uri icon

abstract

  • This paper considers the question of the stable determination of the death rate λ in the fundamental equation of age structured population dynamics ρt + ρa + λρ = 0. We assume that data consisting of population profiles at two distinct times are given. Our approach is to formulate the inverse problem as an operator equation and then, use a method of least squares for its solution. Since the problem is ill-posed, we have to consider a regularization technique. We prove that the resulting scheme has a convergence rate of Hölder type. © 1994 Academic Press, Inc.

author list (cited authors)

  • Engl, H. W., Rundell, W., & Scherzer, O.

citation count

  • 19

publication date

  • March 1994