2020/01/15 by Liqiong Pu, Pu, Liqiong, Zhigui Lin +1
Mathematics · Medicine · #35K57 #37B55 #92D30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2001.05245
openalex publication_date 2020/01/15 · openalex created_date 2020/01/23 · openalex updated_date 2026/07/28
In this paper, we consider a single phytoplankton species which relies on the light for maintaining the metabolism of life in a periodically evolving environment, where the light intensity and the death rate depend on the water column depth triggered by seasonal variation. Based on the basic reproduction number R0, a threshold type result on the dynamics of the model is established. Especially, various features of R0 with respect to the vertical turbulent diffusion rate, the buoyant or sinking rate, and the evolving rate of water column depth are derived. Our theoretical results and numerical simulations show that big evolving rate, vertical diffusion rate and water column depth all have an adverse effect on survival of phytoplankton.