Noises-induced regime shifts and -enhanced stability under a model of lake approaching eutrophication

•The noise-induced ecological bistability expands in comparison with the deterministic case.•Noises can cause the regime shifts from the eutrophic state to the oligotrophic one.•The input noise-enhanced stability of the oligotrophic state is exhibited.•The recycling noise can accelerate regime shifts from the oligotrophic state to the eutrophic one. In this paper, we study the lake eutrophication by using a stochastic model that includes both input noise and recycling noise. The effects of the input noise (α), the recycling noise (D) and the cross-correlation between two noises (λ) in the model are discussed, respectively. Our results show: (i) the noise-induced ecological bistability (EB) expands in comparison with the deterministic case; (ii) noises still can induce EB when the recycling parameter r