Abstract
Marine ecosystem is inevitably disturbed by random factors. This article discusses a nutrient–phytoplankton (NP) model with TPP which is disturbed by both white and telegraph noises. Firstly, we get sufficient conditions for the existence of ergodic stationary distribution by constructing a suitable stochastic Lyapunov function with regime switching. And then we establish sufficient conditions for extinction of the phytoplankton. Finally, the results of this paper are verified by numerical simulation.
•A stochastic nutrient–phytoplankton model with TPP under telegraph noise is studied.•We get sufficient conditions for the existence of ergodic stationary distribution.•Conditions for extinction of the phytoplankton is established.