 Stochastic variability and transitions to chaos in a hierarchical three-species population modelIrina Bashkirtseva, Lev Ryashko and Tatyana Ryazanova Chaos, Solitons & Fractals, 2019, vol. 119, issue C, 276-283 Abstract: A variability of the dynamic behavior in stochastically forced multi-species population models is studied. We address how noise can generate complex oscillatory regimes with transitions between attractors and order-chaos transformations. For the parametric analysis of noise-induced transitions, we utilize a semi-analytical technique based on the stochastic sensitivity analysis of attractors and confidence domains method. This approach is used in the study of the fairly realistic three-species population model describing the interaction of prey, predator and top predator. We consider in detail the parametric zone where the system is monostable with excitable limit cycle, or bistable with coexisting limit cycle and chaotic attractor. These zones are separated by the crisis bifurcation point. Noise-induced transitions between regular and chaotic attractors in the bistability zone are analysed by the confidence ellipses method. In the monostability zone, a mechanism of the transition from regular periodic to multimodal chaotic oscillations is studied. Keywords: Population dynamics; Noise-induced transitions; Stochastic sensitivity; Chaos (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:119:y:2019:i:c:p:276-283 DOI: 10.1016/j.chaos.2018.12.035 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.