Tools
Tools
Christodoulidi, H., Kouloukas, Theodoros E., Drossos, Lambros and Bountis, T. (2026) Integrable and chaotic 4-dimensional Lotka–Volterra models and population sustainability. Physica A: Statistical Mechanics and its Applications (132057). ISSN 0378-4371
We examine a 4-dimensional generalization of predator-prey models describing interactions among four species. We show that these systems exhibit a rich variety of asymptotic behaviors, with solutions that are either integrable, leading to non-sustainable dynamics characterized by unbounded population growth or collapse, or chaotic, where all species coexist over time.
Moreover, we review the integrable cases, which are classified into two-parametric families, and examine three-parametric families that behave similarly to the known two-parametric integrable cases. We also analyze chaotic Lotka–Volterra models in terms of their Lyapunov exponents and Poincaré surfaces of section, which turn out to reveal underlying structures that are compatible with what is expected from sustainable dynamics.
![[thumbnail of 4_Dimensional_Lotka_Volterra_models.pdf]](https://repository.londonmet.ac.uk/style/images/fileicons/text.png "4_Dimensional_Lotka_Volterra_models.pdf")
Restricted to Repository staff only until 16 September 2028.
Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0.
Download (8MB) | Request a copy
 |
View Item |