Pablo Gómez-Mourelo

TL;DR: Two individual-based models for the movement of elvers in the French river ‘Adour’ are built and a set of stochastic differential equations and a partial differential equation for the elvers’ density are rigorously obtained.

TL;DR: This paper deals with the utilization of both classical mathematics and computer science in the solution of problems arising in microbiology, by comparing both approaches through a relevant example, namely the evolution of a yeast population in a batch culture.

TL;DR: In this article, the authors apply and justify the aggregation of variables method for reduction of a complex system of linear delayed differential equations with two time scales: slow and fast, and demonstrate that the solution to the perturbed problem converges when e → 0 to the solution of an aggregated system whose construction is proposed.

TL;DR: A model is built to describe a phase of eels evolution, their migration upstream the river, and constitutes a virtual laboratory, useful to test different hypotheses about eels migration.

TL;DR: This work develops and study a fully continuous individual-based model (IBM) for cancer tumor invasion into a spatial environment of surrounding tissue that improves previous spatially discrete models, because it is continuous in all variables, and thus not constrained to lattice frameworks.