Stochastic Bifurcations and Multistage Order–Chaos Transitions in a 4D Eco-Epidemiological Model

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Stochastic Bifurcations and Multistage Order–Chaos Transitions in a 4D Eco-Epidemiological Model. / Ryashko, Lev ; Perevalova, Tatyana ; Bashkirtseva, Irina.
In: International Journal of Bifurcation and Chaos, Vol. 33, No. 09, 2350112, 2023.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{25be0254690f442fb62b1372f1c0753a,

title = "Stochastic Bifurcations and Multistage Order–Chaos Transitions in a 4D Eco-Epidemiological Model",

abstract = "A tritrophic {"}prey-intermediate predator-top predator{"} population system with disease in the intermediate predator is considered. For this 4D-model, the bifurcation analysis is performed. In this analysis, the rate of the disease transmission is used as a bifurcation parameter. A variety of mono-, bi- and tri-stable behaviors with regular and chaotic attractors are analyzed. It is shown how random disturbances of the bifurcation parameter cause multistage stochastic transformations, noise-induced excitement, and stochastic transitions from order to chaos and reversely. These noise-induced effects are studied in terms of stochastic P- and D-bifurcations.",

author = "Lev Ryashko and Tatyana Perevalova and Irina Bashkirtseva",

year = "2023",

doi = "10.1142/S0218127423501122",

language = "English",

volume = "33",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

publisher = "World Scientific Publishing Co.",

number = "09",

}

RIS

TY - JOUR

T1 - Stochastic Bifurcations and Multistage Order–Chaos Transitions in a 4D Eco-Epidemiological Model

AU - Ryashko, Lev

AU - Perevalova, Tatyana

AU - Bashkirtseva, Irina

PY - 2023

Y1 - 2023

N2 - A tritrophic "prey-intermediate predator-top predator" population system with disease in the intermediate predator is considered. For this 4D-model, the bifurcation analysis is performed. In this analysis, the rate of the disease transmission is used as a bifurcation parameter. A variety of mono-, bi- and tri-stable behaviors with regular and chaotic attractors are analyzed. It is shown how random disturbances of the bifurcation parameter cause multistage stochastic transformations, noise-induced excitement, and stochastic transitions from order to chaos and reversely. These noise-induced effects are studied in terms of stochastic P- and D-bifurcations.

AB - A tritrophic "prey-intermediate predator-top predator" population system with disease in the intermediate predator is considered. For this 4D-model, the bifurcation analysis is performed. In this analysis, the rate of the disease transmission is used as a bifurcation parameter. A variety of mono-, bi- and tri-stable behaviors with regular and chaotic attractors are analyzed. It is shown how random disturbances of the bifurcation parameter cause multistage stochastic transformations, noise-induced excitement, and stochastic transitions from order to chaos and reversely. These noise-induced effects are studied in terms of stochastic P- and D-bifurcations.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001043906900012

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85168772678

U2 - 10.1142/S0218127423501122

DO - 10.1142/S0218127423501122

M3 - Article

VL - 33

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 09

M1 - 2350112

ER -

ID: 43613493