A REGULARIZATION SCHEME FOR AN INVERSE PROBLEM IN AGE-STRUCTURED POPULATIONS

[摘要] This paper considers the question of the stable determination of the death rate lambda in the fundamental equation of age structured population dynamics rho(t) + rho(a) + lambdarho = 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 Holder type. (C) 1994 Academic Press, Inc.

[发布日期] 1994-03-15