eprintid: 4327
rev_number: 7
eprint_status: archive
userid: 351
dir: disk0/00/00/43/27
datestamp: 2016-01-15 02:05:25
lastmod: 2021-08-27 17:15:04
status_changed: 2016-01-15 02:05:25
type: article
metadata_visibility: show
item_issues_count: 2
creators_name: Gragnani, A.
creators_name: Rinaldi, S.
creators_id: 7287
creators_id: 7286
title: A universal bifurcation diagram for seasonally perturbed predator-prey models
ispublished: pub
internal_subjects: iis_ecl
internal_subjects: iis_met
internal_subjects: iis_mod
divisions: prog_dyn
abstract: The bifurcations of a periodically forced predator-prey model (the chemostat model), with a prey feeding on a limiting nutrient, are numerically detected with a continuation technique. Eight bifurcation diagrams are produced (one for each parameter in the model) and shown to be topologically equivalent. These diagrams are also equivalent to those of the most commonly used predator-prey model (the Rosenzweig-McArthur model). Thus, all basic modes of behavior of the two main predator-prey models can be explained by means of a single bifurcation diagram.
date: 1995-09
date_type: published
publisher: Springer
id_number: 10.1007/BF02461847
iiasapubid: XJ-95-006
iiasa_bibref: Bulletin of Mathematical Biology; 57(5):701-712 (September 1995)
creators_browse_id: 1294
creators_browse_id: 253
full_text_status: none
publication: Bulletin of Mathematical Biology
volume: 57
number: 5
pagerange: 701-712
refereed: TRUE
issn: 1522-9602
coversheets_dirty: FALSE
fp7_type: info:eu-repo/semantics/article
citation:   Gragnani, A. <https://pure.iiasa.ac.at/view/iiasa/1294.html> & Rinaldi, S. <https://pure.iiasa.ac.at/view/iiasa/253.html>  (1995).  A universal bifurcation diagram for seasonally perturbed predator-prey models.   Bulletin of Mathematical Biology 57 (5) 701-712. 10.1007/BF02461847 <https://doi.org/10.1007/BF02461847>.