Open AccessTransitions between metastable long-run consumption behaviors in a stochastic peer-driven consumer network
Author(s) -
Jochen Jungeilges,
Trygve K. Nilssen,
Tatyana Perevalova,
Alexander Satov
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021232
Subject(s) - attractor , mathematics , invariant (physics) , metastability , context (archaeology) , statistical physics , physics , mathematical analysis , mathematical physics , paleontology , quantum mechanics , biology
We study behavioral change - as a transition between coexisting attractors - in the context of a stochastic, non-linear consumption model with interdependent agents. Relying on the indirect approach to the analysis of a stochastic dynamic system, and employing a mix of analytical, numerical and graphical techniques, we identify conditions under which such transitions are likely to occur. The stochastic analysis depends crucially on the stochastic sensitivity function technique as it can be applied to the stochastic analoga of closed invariant curves [ 14 ], [ 1 ]. We find that in a moderate noise environment increased peer influence actually reduces the complexity of observable long-run consumer behavior.