Slow–fast dynamics in small trophic chains with habitat loss

Ramya Seenivasan () and Prosenjit Paul ()
Additional contact information
Ramya Seenivasan: Vellore Institute of Technology
Prosenjit Paul: Vellore Institute of Technology

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 5, 1-16

Abstract: Abstract Predator–prey models serve as a fertile ground for modeling the emergence of slow–fast dynamics in natural species. In this work, we demonstrate a set of slow–fast predator–prey ecosystems to investigate the impact of habitat loss on ecosystems, using geometric singular perturbation theory (GSPT) as the mathematical framework. Our methodology outlines how to decompose the multi-trophic-level slow–fast system into its slow and fast subsystems. The impacts of habitat loss and environmental changes on the critical manifold of the slow–fast system are discussed. The model is shown to undergo a canard cycle for a range of parameter values. In the Rosenzweig–MacArthur (R–M) predator–prey system, earlier studies did not consider the density-dependent habitat loss of prey, which could lead to the exhibition of canard cycles. However, the inclusion of density-dependent habitat loss mortality in the system can also lead to canard cycles. Graphic abstract

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-025-00952-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:98:y:2025:i:5:d:10.1140_epjb_s10051-025-00952-z

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-025-00952-z

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().