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W Rundell

Publications and source records attributed to W Rundell.

2 recordsLinked to original sources

Determining the initial age distribution for an age structured population.

"This paper deals with an inverse problem in age-structured population dynamics; the recovery of an unknown initial age distribution. We attempt to recover this function from overposed data which consists of either the total population over a time interval equal to the maximum life span of the species or the age structure of the population at a fixed later time. Existence, uniqueness and continuous dependence of the initial distribution function on the data are addressed. Some numerical simulations are presented to illustrate the feasibility of recovery using the methods of the paper."

Age Distribution↗

Determining the birth function for an age structured population.

This paper deals with an inverse problem in age-structured population dynamics, namely the recovery of the unknown birth function from the additional or overposed data consisting of the total population over a time interval equal to the maximum life span of the species. Conditions on the data are given to guarantee the existence and uniqueness of a solution, and the question of continuous dependence of the birth function on the data is addressed. Some numerical simulations are presented to indicate that one can, in fact, use the methods of the paper to reconstruct the birth function.

Age Factors↗