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题目：Mathematical Modeling and Analysis of Bacteria-phage Interactions in a Chemostat

报告人：王稳地 教授 （西南大学）

时间：5月12日（星期五），上午 9:30-10:30

地点：致远楼102室

王稳地，西南大学教授。博士毕业于西安交通大学，重庆市名师，享受国务院特殊津贴，中国生物数学学会副理事长，重庆市应用数学学科带头人，现任International Journal of Biomathematics编委和Journal of Biological systems编委。 研究方向为生物数学和应用动力系统. 主持（完成或在研）国家自然科学基金课题5项，教育部项目2项。 在SIAM J. Appl. Math，JDE, J. Math. Biol. 等杂志发表论文 100多篇.

报告摘要

I first talk about the importance of phage therapy in fighting bacteria infections and review the advances of mathematical modeling in the study of phage dynamics. Then, I introduce our researches on how immune responses affect the outcomes of phage therapy. It is shown that the host immune response induces the backward bifurcation. Thus, there exists the bistability of phage-free equilibrium with the phage-infection equilibrium. More importantly, it is found that the model exhibits the coexistence of a stable phage-infection equilibrium with a stable periodic solution. The crucial implication of these phenomena is that phage infection fails both from the smaller dose of initial injection and from the larger dose of initial injection. Thus, a proper design of phage dose is necessary for phage therapy. Further analysis indicate that the inhibition effects of bacteria and phages can induce periodic oscillations and modulated oscillation.

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