Article ID Journal Published Year Pages File Type
7376756 Physica A: Statistical Mechanics and its Applications 2016 22 Pages PDF
Abstract
This study considers a class of differential algebraic stage-structured bio-economic models with stochastic fluctuations. The stochastic bio-economic model is simplified to an Itô equation using the stochastic averaging method. The stochastic stability, Hopf bifurcation, and P-bifurcation are discussed based on the singular boundary theory of the diffusion process for the system and the invariant measure theory of dynamic systems. Numerical simulations are presented to illustrate our main results.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
, , , , ,