Stochastic variability and transitions to chaos in a hierarchical three-species population model

DOI10.1016/j.chaos.2018.12.035zbMath1448.92172OpenAlexW2910552565WikidataQ128564338 ScholiaQ128564338MaRDI QIDQ2212450

L. B. Ryashko, Tatyana Ryazanova, Irina Bashkirtseva

Publication date: 23 November 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.12.035

zbMATH Keywords

chaospopulation dynamicsstochastic sensitivitynoise-induced transitions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Probabilistic mechanisms of the noise-induced oscillatory transitions in a Leslie type predator-prey model ⋮ On the spatial Julia set generated by fractional Lotka-Volterra system with noise ⋮ Analysis of Stochastic Bifurcations in the Eco-Epidemiological Oscillatory Model with Weak Allee Effect ⋮ Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps ⋮ A Stochastic Hierarchical Population System: Excitement, Extinction and Transition to Chaos

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Existence of limit cycles in a three level trophic chain with Lotka-Volterra and Holling type II functional responses
• Noise in ecosystems: a short review
• Role of the noise on the transient dynamics of an ecosystem of interacting species
• Spatio-temporal patterns in population dynamics
• Noise-induced shifts in the population model with a weak Allee effect
• Transient chaos. Complex dynamics in finite-time scales
• Stochastic Resonance
• ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM
• Analysis of Noise-Induced Bifurcations in the Stochastic Tritrophic Population System
• Stochastic population dynamics in spatially extended predator–prey systems
• WKB theory of large deviations in stochastic populations
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
• Analysis of the dynamics of a realistic ecological model

This page was built for publication: Stochastic variability and transitions to chaos in a hierarchical three-species population model