A Stochastic Hierarchical Population System: Excitement, Extinction and Transition to Chaos

DOI10.1142/S0218127421300433zbMath1484.34112OpenAlexW3217148128WikidataQ114141518 ScholiaQ114141518MaRDI QIDQ5016831

L. B. Ryashko, Irina Bashkirtseva, Tatyana Perevalova

Publication date: 13 December 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421300433

zbMATH Keywords

random disturbancebifurcation and chaosstochastic sensitivitytritrophic population modelnoise-induced excitement

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

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Cites Work

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• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Ecological consequences of global bifurcations in some food chain models
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• A first approximation of the quasipotential in problems of the stability of systems with random nondegenerate perturbations
• The stability of stochastically perturbed orbital motions
• Existence of limit cycles in a three level trophic chain with Lotka-Volterra and Holling type II functional responses
• Role of the noise on the transient dynamics of an ecosystem of interacting species
• Stochastic variability and transitions to chaos in a hierarchical three-species population model
• Nonlinear climate dynamics: from deterministic behaviour to stochastic excitability and chaos
• Stochastic persistence and stability analysis of a modified Holling-Tanner model
• Stochastic Resonance
• Stochastic modelling of intermittency
• ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM
• Coherence Resonance in a Noise-Driven Excitable System
• Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear
• Stochastic sensitivity of attractors for a piecewise smooth neuron model
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
• Elements of applied bifurcation theory
• Analysis of the dynamics of a realistic ecological model

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