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Noise-induced shifts in dynamics of multi-rhythmic population SIP-model

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  • Bashkirtseva, Irina
  • Perevalova, Tatyana
  • Ryashko, Lev

Abstract

Motivated by important ecological applications, we investigate a three-dimensional population system describing mutual dynamics of predator (P) and prey divided into susceptible (S) and infected (I) species. In our study, we focus on a parameter zone with complex multi-rhythmic behavior where several oscillatory attractors coexist, both regular and chaotic. An effect of random disturbances in this SIP-model is investigated on the basis of direct numerical simulation and analytical stochastic sensitivity technique. It is revealed that random fluctuations in the rate of the infection spread result in the transitions between oscillatory modes with extinction of predator. It is shown that these noise-induced phenomena are accompanied by stochastic bifurcations and multi-stage order-chaos transitions.

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  • Bashkirtseva, Irina & Perevalova, Tatyana & Ryashko, Lev, 2020. "Noise-induced shifts in dynamics of multi-rhythmic population SIP-model," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    • Handle: RePEc:eee:chsofr:v:136:y:2020:i:c:s0960077920302162
    DOI: 10.1016/j.chaos.2020.109816
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    1. Valenti, D. & Tranchina, L. & Brai, M. & Caruso, A. & Cosentino, C. & Spagnolo, B., 2008. "Environmental metal pollution considered as noise: Effects on the spatial distribution of benthic foraminifera in two coastal marine areas of Sicily (Southern Italy)," Ecological Modelling, Elsevier, vol. 213(3), pages 449-462.
    2. Saifuddin, Md. & Biswas, Santanu & Samanta, Sudip & Sarkar, Susmita & Chattopadhyay, Joydev, 2016. "Complex dynamics of an eco-epidemiological model with different competition coefficients and weak Allee in the predator," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 270-285.
    3. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Ahmad, Bashir, 2017. "Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 476(C), pages 58-69.
    4. Bashkirtseva, I.A. & Ryashko, L.B., 2004. "Stochastic sensitivity of 3D-cycles," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(1), pages 55-67.
    5. A. Dubkov & B. Spagnolo, 2008. "Verhulst model with Lévy white noise excitation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 361-367, October.
    6. Gilioli, G. & Groppi, M. & Vesperoni, M.P. & Baumgärtner, J. & Gutierrez, A.P., 2009. "An epidemiological model of East Coast Fever in African livestock," Ecological Modelling, Elsevier, vol. 220(13), pages 1652-1662.
    7. Bashkirtseva, Irina & Ryashko, Lev & Ryazanova, Tatyana, 2020. "Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    8. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Alsaedi, Ahmed, 2017. "Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 510-517.
    9. La Barbera, A & Spagnolo, B, 2002. "Spatio-temporal patterns in population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 120-124.
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    Cited by:

    1. Guo, Qin & Han, Ping & Zhang, Hongxia & Feng, Jinqian & Su, Jin, 2024. "Emergent rhythmicity and control in a stochastic trirhythmic system," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    2. Bashkirtseva, Irina & Perevalova, Tatyana & Ryashko, Lev, 2022. "Regular and chaotic variability caused by random disturbances in a predator–prey system with disease in predator," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    3. Sk, Nazmul & Mondal, Bapin & Thirthar, Ashraf Adnan & Alqudah, Manar A. & Abdeljawad, Thabet, 2023. "Bistability and tristability in a deterministic prey–predator model: Transitions and emergent patterns in its stochastic counterpart," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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