Stationary Distribution of a Nutrient-plankton Stochastic Model
YI Fanru
WANG Qinglong
Abstract：To investigate the effects of environmental disturbance,toxin release and hyperbolic mortality on the population dynamics of plankton species,a class of stochastic model with toxin release and hyperbolic mortality for nutrient-phytoplankton-zooplankton was established.Firstly,by applying the theory of stochastic differential equations,the sufficient conditions for the existence and uniqueness of the stationary distribution were derived.Subsequently,numerical examples were provided to further verify the feasibility of the theoretical results.The results indicated that low-intensity white noise allowed for the persistent coexistence of plankton,while toxin release and hyperbolic mortality rates could affect their population density to some extent.The study showed that,in real ecological environments,these factors could be combined to prevent the outbreak of water blooms and red tides.
Keywords：nutrient-phytoplankton-zooplankton modeltoxin releasehyperbolic mortalitywhite noisestationary distribution
Publication Date：2025-03-19
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 126-132 )