报告题目：Stochastic modeling of algal bloom dynamics with delayed nutrient recycling
报告地点：腾讯会议ID：223 406 642
报告摘要：Using the discrete Markov chain, in this paper we develop a stochastic model for algal bloom, in which white noise terms are introduced to describe the effects of environmental random fluctuations and time delay to account for the time needed in the conversion of detritus into nutrient. For the proposed model, we firstly discuss the well-posedness, namely the existence and uniqueness of the global positive solution. Then, it is followed by seeking the sufficient conditions for the stochastic stability of its washout equilibrium. Then by using Fourier transform method, the spectral densities of the nutrient and the algae population are estimated. Finally, we show that larger noise can make the algae population extinct exponentially with probability one. Our theoretical and numerical results suggest that the environmental random fluctuations may have more significant influences on the dynamics of the model than the delay. These findings are helpful for a better understanding of the formation mechanism of algal blooms.
报告人简介：姬雪晖，博士，毕业于上海理工大学，现任职于中原工学院理学院（河南郑州）， 研究领域为随机动力学建模及其动力学研究，已在国内外学术刊物Nonlinear Analysis: Real World Applications、Mathematical Biosciences and Engineering、Mathematical and Computer Modelling、 Journal of Applied Analysis and Computation、 International Journal of Biomathematics发表论文17余篇.