Dynamical analysis of a differential algebraic bio-economic model with stage-structured and stochastic fluctuations

作者：Zhang, Yue^*; Zheng, Yan; Liu, Xi; Zhang, Qingling; Li, Aihua

来源：Physica A: Statistical Mechanics and Its Applications , 2016, 462: 222-229.

DOI：10.1016/j.physa.2016.06.005

• Bifurcation
• Bio-economic model
• Differential algebraic system
• Invariant measure
• Stochastic averaging method

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 Ito 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.

• 出版日期2016-11-15
• 单位中央财经大学; 东北大学