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

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

報 告 人：石垚副教授 長安大學

邀請人：李善兵  

報告時間：2026年01月09日（周五） 16：00-17：00

報告地點：行政輔樓235會議室

報告人簡介：2021年6月畢業(yè)于陜西師范大學，師從吳建華教授。2023年7月受王治安教授邀請訪問香港理工大學。擔任《Nonlinear Analysis》等多個雜志審稿人。以第一作者在SIAM J. Appl. Math.、Internat. J. Bifur. Chaos、Appl. Anal.等學術期刊上發(fā)表論文近20篇。主持國家自然科學基金青年基金1項，陜西省自然科學青年基金1項，長安大學中央高校專項資金項目2項。獲陜西高等學校科學技術研究優(yōu)秀成果一等獎。陜西省工業(yè)與應用數學學會優(yōu)秀論文三等獎。獲國大學生數學建模國家二等獎、陜西省數學建模一等獎等。

報告摘要： 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.

主辦單位：數學與統(tǒng)計學院