Bifurcation Analysis of a Stochastic Phytoplankton Growth Model Under Photoinhibition

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Abstract. This study is devoted to exploring the effects of photoinhibition and environmental stochasticity on the population dynamics of phytoplankton in a stochastic environment by a dynamical modeling approach. A stochastic model with photoinhibition is formulated to characterize the growth of phytoplankton, where the random disturbance is modeled by the multiplicative Gaussian white noise. The global dynamics of the model is well investigated both analytically and numerically. In particular, the stochastic bifurcation analysis is thoroughly examined and sufficient criteria are derived for the occurrence of phenomenological and dynamical bifurcations. The main findings indicate that photoinhibition can lead to a strong Allee effect in phytoplankton, as evidenced by the emergence of a stable bimodal limit distribution in the stochastic dynamical model.

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