Prey-Predator Interactions in Two and Three Species Population Models
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-17
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Discrete nonlinear two and three species prey-predator models are considered.
Focus is on stability and nonstationary behaviour.
Regarding the two species model, depending on the fecundity of the predator, we show that the transfer from stability to instability goes through either a supercritical flip or a supercritical Neimark-Sacker bifurcation and moreover that there exist multiple attractors in the chaotic regime, one where both species coexist and another where the predator population has become extinct.
Sizes of basin of attraction for these possibilities are investigated.
Regarding the three species models, we show that the dynamics may differ whether both predators prey upon the prey or if the top predator preys upon the other predator only.
Both the sizes of stable parameter regions as well as the qualitative structure of attractors may be different.
American Psychological Association (APA)
Wikan, Arild& Kristensen, Ørjan. 2019. Prey-Predator Interactions in Two and Three Species Population Models. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1146671
Modern Language Association (MLA)
Wikan, Arild& Kristensen, Ørjan. Prey-Predator Interactions in Two and Three Species Population Models. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1146671
American Medical Association (AMA)
Wikan, Arild& Kristensen, Ørjan. Prey-Predator Interactions in Two and Three Species Population Models. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1146671
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146671