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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. 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).
    2. 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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