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Frontiers in Life Science Volume 5, 2011 - Issue 3-4
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Primary Research

Stochastic sensitivity analysis of noise-induced excitement in a prey–predator plankton system

Irina Bashkirtseva Institute of Mathematics and Computer Sciences, Ural Federal University, Ekaterinburg, Russia
&
Lev Ryashko Institute of Mathematics and Computer Sciences, Ural Federal University, Ekaterinburg, RussiaCorrespondence[email protected]
Pages 141-148 | Received 15 Mar 2012, Accepted 11 Jun 2012, Published online: 06 Aug 2012

Citations (19)

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Irina Bashkirtseva & Lev Ryashko. (2023) How random fluctuations can generate and suppress complex oscillatory regimes in continuous stirred tank reactors. Combustion Theory and Modelling 27:5, pages 702-713.
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Articles from other publishers (18)

N. M. Firstova. (2023) Analysis of Critical Phenomena in a Dynamic System Under the Influence of Random Perturbations. Journal of Mathematical Sciences 272:6, pages 783-790.
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Yong Huang. (2022) Nonlinear stochastic dynamics research on a Lorenz system with white Gaussian noise based on a quasi‐potential approach. International Journal of Mechanical System Dynamics 3:1, pages 85-94.
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Irina Bashkirtseva, Lev Ryashko & Ivan Tsvetkov. (2022) Analysis of deterministic and stochastic oscillatory regimes in nonlinear thermochemical kinetics. Mathematical Methods in the Applied Sciences.
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Koushik Garain. (2021) Only mimic-species can survive when external noises are added in a ratio-dependent community dynamics model. The European Physical Journal Special Topics 230:16-17, pages 3381-3387.
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N Firstova. (2019) Dynamics of the electrochemical reaction behavior under the influence of random perturbations. Journal of Physics: Conference Series 1368:4, pages 042005.
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Ekaterina Pavlovna Abramova & Tatyana Vladimirovna Ryazanova. (2019) Dynamic regimes of the stochastic "prey - predatory" model with competition and saturation. Computer Research and Modeling 11:3, pages 515-531.
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N. M. Firstova. (2018) WHITE NOISE EFFECT IN THE DYNAMIC MODEL OF THE ELECTROCHEMICAL REACTION. Vestnik of Samara University. Natural Science Series 24:4, pages 41.
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Chaoqun Xu, Sanling Yuan & Tonghua Zhang. (2018) Sensitivity analysis and feedback control of noise-induced extinction for competition chemostat model with mutualism. Physica A: Statistical Mechanics and its Applications 505, pages 891-902.
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Partha Sarathi Mandal. (2018) Noise-induced extinction for a ratio-dependent predator–prey model with strong Allee effect in prey. Physica A: Statistical Mechanics and its Applications 496, pages 40-52.
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Lev Ryashko. (2018) Sensitivity analysis of the noise-induced oscillatory multistability in Higgins model of glycolysis. Chaos: An Interdisciplinary Journal of Nonlinear Science 28:3.
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Irina Bashkirtseva, Lev Ryashko & Tatyana Ryazanova. (2017) Analysis of Noise-Induced Bifurcations in the Stochastic Tritrophic Population System. International Journal of Bifurcation and Chaos 27:13, pages 1750208.
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Irina Bashkirtseva, Lev Ryashko & Tatyana Ryazanova. (2017) Method of confidence domains in the analysis of noise-induced extinction for tritrophic population system. The European Physical Journal B 90:9.
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I Bashkirtseva. (2017) Stochastic sensitivity analysis: theory and numerical algorithms. IOP Conference Series: Materials Science and Engineering 192, pages 012024.
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Chaoqun Xu, Sanling Yuan & Tonghua Zhang. (2016) Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients. International Journal of Bifurcation and Chaos 26:10, pages 1650173.
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Irina Adolfovna Bashkirtseva, Polina Vladimirovna Boyarshinova, Tatyana Vladimirovna Ryazanova & Lev Borisovich Ryashko. (2016) Analysis of noise-induced destruction of coexistence regimes in «prey-predator» population model. Computer Research and Modeling 8:4, pages 647-660.
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Irina Bashkirtseva. Analysis of the stochastic excitability in the flow chemical reactor. Analysis of the stochastic excitability in the flow chemical reactor.
L. Ryashko & I. Bashkirtseva. (2015) Stochastic Sensitivity Analysis and Control for Ecological Model with the Allee Effect. Mathematical Modelling of Natural Phenomena 10:2, pages 130-140.
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Irina Bashkirtseva & Lev Ryashko. (2014) Analysis of the Noise-Induced Regimes in Ricker Population Model with Allee Effect via Confidence Domains Technique. BioMed Research International 2014, pages 1-7.
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