Impact of Cell Size Effect on Nutrient-Phytoplankton Dynamics

摘要: In this paper, a nutrient-phytoplankton model, which is described by system of ordinary differential equations incorporating the effect cell size, and its corresponding stochastic equation version are studied analytically numerically. A key advantage considering size that it can more accurately reveal intrinsic law interaction between nutrient phytoplankton. The main purpose paper to research how affects dynamics within deterministic environments. Mathematically, we show existence stability equilibria in model be determined size: smaller or larger lead disappearance positive equilibrium, but boundary equilibrium always exists globally asymptotically stable; intermediate capable drive appear stable, whereas becomes unstable. case including extinction, persistence mean, ergodic stationary distribution found largely dependent on noise intensity. Ecologically, via numerical simulations, result extinction phytoplankton, similar random environmental fluctuations More interestingly, discovered optimal for promoting growth increasing appropriately rapidly reduce phytoplankton density concentrations at same time, provides possible strategy biological control algal blooms.