Un problema de demografía modelado por una ecuación de Mckendrick - Von Foerster

Abstract

In this monograph we will study an age-structured model of poblational dynamic that arises in the papers of McKendrick retaken by Von Foester. In this model we have a function of age distribution, the mortality rate and the offspring rate of the population. The most interesting thing about this model is its boundary condition because it's depending on the unknown solution. Under certain conditions the model could be solved through the method of the characteristics. This will take us to consider the border condition as a Non-homogenous Volterra integral equation called renewal equation. We will show that Volterra integral equation has an only solution and we will study it throughout approaches using Neumman series, to apply it and obtain the age structure for the population according to the renewal equation.