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http://hdl.handle.net/1942/27288
Title: | Predator–prey systems with small predator's death rate | Authors: | HUZAK, Renato | Issue Date: | 2018 | Source: | Electronic Journal of Qualitative Theory of Differential Equations,(86), p. 1-16 | Abstract: | The goal of our paper is to study canard relaxation oscillations of predator-prey systems with Holling type II of functional response when the death rate of predator is very small and the conversion rate is uniformly positive. This paper is a natural continuation of [C. Li, H. Zhu, 2013; C. Li, 2016] where both the death rate and the conversion rate are kept very small. We detect all limit periodic sets that can produce the canard relaxation oscillations after perturbations and study their cyclicity by using singular perturbation theory and the family blow-up. | Notes: | Huzak, R (reprint author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. renato.huzak@uhasselt.be | Keywords: | predator–prey systems; slow-divergence integral; slow–fast systems | Document URI: | http://hdl.handle.net/1942/27288 | ISSN: | 1417-3875 | e-ISSN: | 1417-3875 | DOI: | 10.14232/ejqtde.2018.1.86 | ISI #: | 000446996800001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
PredatorPrey.pdf | Peer-reviewed author version | 824.79 kB | Adobe PDF | View/Open |
p6810.pdf | Published version | 997.36 kB | Adobe PDF | View/Open |
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