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

Yue Zhang, Yan Zheng, Xi Liu, Qingling Zhang and Aihua Li

Physica A: Statistical Mechanics and its Applications, 2016, vol. 462, issue C, 222-229

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: Bifurcation; Bio-economic model; Differential algebraic system; Invariant measure; Stochastic averaging method (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:462:y:2016:i:c:p:222-229

DOI: 10.1016/j.physa.2016.06.005

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