||Understanding the plankton dynamics can help us take effective measures to settle the critical issue on how to keep plankton ecosystem balance. In this paper, a nutrient-phytoplankton-zooplankton (NPZ) model is formulated to understand the mechanism of plankton dynamics. To account for the harmful effect of the phytoplankton allelopathy, a prototype for a nonmonotone response function is used to model zooplankton grazing, and nonlinear phytoplankton mortality is also included in the NPZ model. Using the model, we will focus on understanding how the phytoplankton allelopathy and nonlinear phytoplankton mortality affect the plankton population dynamics. We first examine the existence of multiple equilibria and provide a detailed classification for the equilibria, then stability and local bifurcation analysis are also studied.
||南京理工大学理学院大学数学基础教学中心主任、博士生导师，主要从事生物数学研究。在国际生物数学核心期刊SIAM J Appl Math, , J. Dyns Diff Equat，Bull Biol Math, Math Biosci, J. Bio Dyns等杂志上发表论文40余篇。曾先后访问过美国Purdue大学、意大利Trento大学，加拿大York大学和Alberta大学等。