The threshold dynamical behavior of the microbial food chain model with predation-mediated flocculation-promoting effect

报告题目：The threshold dynamical behavior of the microbial food chain model with predation-mediated flocculation-promoting effect

报 告 人：石垚副教授 长安大学

邀请人：李善兵  

报告时间：2026年01月09日（周五） 16：00-17：00

报告地点：行政辅楼235会议室

报告人简介：2021年6月毕业于陕西师范大学，师从吴建华教授。2023年7月受王治安教授邀请访问香港理工大学。担任《Nonlinear Analysis》等多个杂志审稿人。以第一作者在SIAM J. Appl. Math.、Internat. J. Bifur. Chaos、Appl. Anal.等学术期刊上发表论文近20篇。主持国家自然科学基金青年基金1项，陕西省自然科学青年基金1项，长安大学中央高校专项资金项目2项。获陕西高等学校科学技术研究优秀成果一等奖。陕西省工业与应用数学学会优秀论文三等奖。获国大学生数学建模国家二等奖、陕西省数学建模一等奖等。

报告摘要： In this talk, we investigate a microbial food chain model in an unstirred chemostat with single resource, in which protozoa can promote the flocculation of bacteria. The introduction of mortality of protozoa leads to the conservation principle of the standard chemostat model is invalid. Firstly, we analyze the threshold dynamic behavior of the system according to the diffusion coefficient when the initial value of the flocs of bacteria is zero. It is concluded that when the diffusion coefficient is small, species can coexist. Secondly, the stability and global structure of the non-negative steady-state solutions are analyzed through the bifurcation theory. Finally, the results of the numerical simulation demonstrate that a Hopf bifurcation may occur in this system within a small diffusion range.

主办单位：数学与统计学院