Modelling Long Transients in Ecology

Title

Modelling Long Transients in Ecology

Subject

Mathematical Biology

Date

07/10/2026

Contributor

Nathan Cundy

Abstract

A long transient occurs when a system takes a prolonged period of time, for example dozens of generations, to approach its final equilibrium or periodic state, meaning that observed initial behaviour may not represent the true long term dynamics. This is particularly important in biology, where the timescale of observations may be much shorter than the timescale of the underlying system. In this report we will take one such biological system and explore how varying its features may have an impact the length of its transient dynamics.

Meta Tags

Mathematics, Mathematical Biology, Modelling, Long Transients, Ecology, Floquet Theory, Python

Files

Citation

Nathan Cundy, “Modelling Long Transients in Ecology,” URSS SHOWCASE, accessed October 9, 2026, https://urss.warwick.ac.uk/items/show/1088.