Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions

Analysis on dynamical behavior of a stochastic phytoplankton‐zooplankton model with nonlinear perturbation

“…In recent years, the study of plankton model is a hot topic in water ecosystem. [1][2][3][4][5][6][7][8][9][10][11][12][13] Phytoplankton is the primary producer of aquatic ecology, which consumes half of the carbon dioxide and releases half of the oxygen through photosynthesis all over the world. Phytoplankton and zooplankton, as the middle and bottom layers of the food chain of aquatic ecosystems, play a pivotal role in maintaining the global climate.…”

“…Environmental noise can just reflect the influence of external factors on the deterministic model. [6][7][8][9][10][11][12][13] For example, Majumder et al 7 compared the dynamic results of the deterministic phytoplankton-zooplankton model with its corresponding stochastic model. Yu et al 12 proved the existence condition of extinction and persistence of the population on a stochastic phytoplankton-toxin phytoplankton-zooplankton.…”

“…In recent years, the study of plankton model is a hot topic in water ecosystem 1–13 . Phytoplankton is the primary producer of aquatic ecology, which consumes half of the carbon dioxide and releases half of the oxygen through photosynthesis all over the world.…”

“…There are, however, some limitations of the present study, as it does not reflect the impact of the environmental external factors including climate change, humidity, temperature, and so on. Environmental noise can just reflect the influence of external factors on the deterministic model 6–13 . For example, Majumder et al 7 compared the dynamic results of the deterministic phytoplankton‐zooplankton model with its corresponding stochastic model.…”