Noise-induced shifts in the ecological model with delay

A Hassell-type mathematical model of population dynamics with delay and stochastic disturbances is considered. In this bistable model, one of the attractors corresponds to the extinction, and the other one describes non-trivial stable modes of dynamics. These modes can be both regular and chaotic. S...

Full description

Saved in:
Bibliographic Details
Main Authors: Ryashko, Lev, Tsvetkov, Ivan, Spagnolo, Bernardo
Format: Conference Proceeding
Language:English
Subjects:
Bifurcation theory
Delay
Dynamic stability
Mathematical models
Sensitivity analysis
Structural stability
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A Hassell-type mathematical model of population dynamics with delay and stochastic disturbances is considered. In this bistable model, one of the attractors corresponds to the extinction, and the other one describes non-trivial stable modes of dynamics. These modes can be both regular and chaotic. Structural stability zones are separated by local and global bifurcations. We study how noise shifts these bifurcation points and contracts the persistence zone. Abilities of the theoretical analysis of these phenomena with the help of the stochastic sensitivity function technique is discussed.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5133538