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Recently developed theoretical framework for analysis of structuredpopulation dynamics in the spaces of nonnegative Radon measures with a suitablemetric provides a rigorous tool to study numerical schemes based on particlemethods. The approach is based on the idea of tracing growth and transport ofmeasures which approximate the solution of original partial differentialequation. In this paper we present analytical and numerical study of twoversions of Escalator Boxcar Train (EBT) algorithm which has been widelyapplied in theoretical biology, and compare it to the recently developedsplit-up algorithm. The novelty of this paper is in showing well-posedness andconvergence rates of the schemes using the concept of semiflows on metricspaces. Theoretical results are validated by numerical simulations of testcases, in which distances between simulated and exact solutions are computedusing flat metric.

Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance