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The Escalator Boxcar Train method (EBT) is a numerical method for structuredpopulation models of McKendrick-von Foerster type. Those models consist of acertain class of hyperbolic partial differential equations and describe timeevolution of the distribution density of the structure variable describing afeature of individuals in the population. The method was introduced in lateeighties and widely used in theoretical biology, but its convergence was provenonly in recent years using the framework of measure-valued solutions. Till nowthe EBT method was developed only for scalar equation models. In this paper wederive a full numerical EBT scheme for age-structured, two-sex population model(Fredrickson-Hoppensteadt model), which consists of three coupled hyperbolicpartial differential equations with nonlocal boundary conditions. It is thefirst step towards extending the EBT method to systems of structured populationequations.

The Escalator Boxcar Train method for a system of aged-structured equations