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Prey-Predator Interactions in Two and Three Species Population Models

Permanent lenke
https://hdl.handle.net/10037/14758
DOI
https://doi.org/10.1155/2019/9543139
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article.pdf (2.557Mb)
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Dato
2019-02-17
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Forfatter
Wikan, Arild; Kristensen, Ørjan
Sammendrag
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.
Beskrivelse
Source at https://doi.org/10.1155/2019/9543139. Licensed CC BY-NC-ND 4.0.
Forlag
Hindawi Publishing Corporation
Sitering
Wikan, A. & Kristensen, Ø. (2019). Prey-Predator Interactions in Two and Three Species Population Models. Discrete Dynamics in Nature and Society. https://doi.org/10.1155/2019/9543139
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