Journal article · January 2021
Analysis of Ecological Shifts in the Two-Age Structured Population Model with Allee Effect and Environmental Noise
Mathematical Methods in the Applied Sciences 44, 12108--12119 (2021) · doi:10.1002/mma.6778
Abstract
We study noise-induced transformations in the two-age structured population model with the Allee effect and environmental fluctuations. In this bistable model, ecological shifts are associated mathematically with random transitions between basins of coexisting attractors. The following phenomena are revealed and studied: (i) noise-induced extinction, (ii) stochastic regeneration, and (iii) excitement of random mixed-mode oscillations. Constructive abilities of the analytical method of confidence domains are demonstrated in the parametric study of these phenomena. o̧pyright 2020 John Wiley & Sons, Ltd.
Cite
@article{bashkirtseva2021,
arxiv = {not in arxiv},
author = {Bashkirtseva, Irina and Valenti, Davide and Spagnolo, Bernardo},
author_keywords = {age-structured model; noise; phase transitions; population dynamics},
doi = {10.1002/mma.6778},
issn = {01704214},
journal = {Mathematical Methods in the Applied Sciences},
keywords = {Age structured model,Age-structured population models,Allee effects,Bistables,Co-existing attractors,Ecology,Environmental fluctuations,Environmental noise,Noise,Random transition,Stochastic systems,Stochastics},
number = {16},
pages = {12108--12119},
title = {Analysis of Ecological Shifts in the Two-Age Structured Population Model with Allee Effect and Environmental Noise},
volume = {44},
year = {2021}
}