Dynamical analysis in a stochastic bioeconomic model with stage-structuring

This article studies a class of stage-structured bioeconomic models with stochastic fluctuations. The stochastic bioeconomic model is simplified to Itô equation by stochastic averaging method. The stochastic stability, Hopf bifurcation, D-bifurcation and P-bifurcation are discussed based on the system’s maximal Lyapunov exponent and dynamic systems invariant measure Lyapunov exponent. Numerical simulations are presented to illustrate our main results.

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