Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7376756 | Physica A: Statistical Mechanics and its Applications | 2016 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yue Zhang, Yan Zheng, Xi Liu, Qingling Zhang, Aihua Li,