Deterministic and stochastic nutrient-phytoplankton- zooplankton models with periodic toxin producing phytoplankton

摘要: Deterministic and stochastic nutrient-phytoplankton-zooplankton models with toxin producing phytoplankton are studied.The input nutrient concentration the liberation rate play critical roles in plankton dynamics.Periodic by can complicate interactions.Harmful algal blooms be diminished if maximal is large. of interaction proposed to investigate impact upon persistence populations. The modeled periodically deterministic system. We derive two thresholds terms parameters for which both populations persist these positive. construct Ito differential equations model variability environment. It concluded that along dynamics planktonic interaction. In particular, terminate harmful more stable either smaller or production larger.