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非线性分析、微分方程与动力系统报告

邀请人：白振国

报告时间：2022年12月3日 9：00-12：00

腾讯会议ID：305 272 548

Modeling the role ofmacrophages in HIV persistence during antiretroviral therapy

邱志鹏 南京理工大学

Abstract: HIVpreferentially infects activatedCD4+Tcells.Current antiretroviral therapy cannot eradicate the virus. Viral infection of other cells such as macrophages may contribute to viral persistence during antiretroviral therapy. In addition to cell-free virus infection, macrophages can also get infected when engulfing infected CD4+ T cells as innate immune sentinels. How macrophages affect the dynamics of HIV infection remains unclear. In this paper, we develop an HIV model that includes the infection of CD4+ T cells and macrophages via cell-free virus infection and cell-to-cell viral transmission. We derive the basic reproduction number and obtain the local and global stability of the steady states. Sensitivity and viral dynamics simulations show that even when the infection of CD4+ T cells is completely blocked by therapy, virus can still persist and the steady-state viral load is not sensitive to the change of treatment efficacy. Analysis of the relative contributions to viral replication shows that cell-free virus infection leads to themajority of macrophage infection. Viral transmission from infectedCD4+Tcells to macrophages during engulfment accounts for a small fraction of the macrophage infection and has a negligible effect on the total viral production. These results suggest that macrophage infection can be a source contributing to HIV persistence during suppressive therapy. Improving drug efficacies in heterogeneous target cells is crucial for achieving HIV eradication in infected individuals. This is a joint work with Ting Guo and Libin Rong.

The analysis of epidemic network model with individual behaviors on game theory

北京建筑大学 刘茂省

Abstract: Individual behaviors have a major impact on the spread of the disease during an epidemic. Atthe same time, the spread of disease has an impact on individual behaviors. In this talk, we propose acoupled model of individual behaviors and disease transmission, take into account both individual-basedrisk assessment and neighbor-based replicator dynamics. The results show that the change of human behavior can effectively inhibit the spread ofthe disease; individual-based risk assessments had a stronger effect on disease suppression, but alsomore hitchhikers. This work contributes to the study of the relationship between human behavior anddisease epidemics. Theresults of optimal control are compared with other constant control and the influences of protective measures oninfectious diseases are analyzed by simulations. The optimal control results indicate that the greater the controlproportion of infected individuals, the greater the average social payoff.

专家简介（以姓氏拼音为序）

刘茂省：教授，博士生导师，山西省数学会常务理事，山西省高校优秀青年学术带头人，山西省高校“131”领军人才，山西省三晋英才，山西省“1331工程”重点创新团队负责人。负责主持国家自然科学基金3项，山西省自然科学基金2项，省留学基金2项，参加国家自然科学基金4项，其中重点项目1项。2007年获得山西省教学成果一等奖1项(第二完成人)，2008年主讲的《常微分方程》被评为山西省精品课程，2010年获得山西省科技奖自然类一等奖1项(第五完成人)，2019年获得山西省科技奖自然类二等奖1项(第一完成人)。主要研究方向：传染病动力学、复杂网络传播动力学、大数据建模与仿真等理论及应用研究。

楼一均：2010年毕业于加拿大纽芬兰纪念大学获博士学位。2010年7月至2012年8月在加拿大约克大学做博士后研究。2012年8月-2018年6月获聘为香港理工大学数学系助理教授。2018年7月至今任香港理工大学副教授至今。楼一均博士主要研究方向为应用动力系统及其在复杂生物系统的应用。论文发表在SIAM Journal of Applied Mathematics, IEEE Transactions on Automatic Control等主流应用数学以及理论生态学杂志。近年来对具有季节驱动或年龄结构的复杂系统以及复杂网络上的疾病传播动力学感兴趣。近期研究受国家自然科学基金和香港特别行政区大学教育资助委员会资助。现任Infectious Disease Modelling杂志Associated Editor，和Mathematical Biosciences and Engineering, BMC Research Notes等杂志编委。

邱志鹏：南京理工大学江阴校区基础前沿交叉中心主任、教授、博士生导师。主要从事常微分方程、动力系统与生物数学的研究工作，正在或完成主持国家自然科学基金4项，国家自然科学基金国际合作基金1项，教育部留学回国基金1项，参加国家自然科学基金面上项目2项和江苏省自然科学基金青年项目1项，目前已在Bull. Math. Biol., Math. Biosci., J. Diff. Equs., SIAM J. Appl. Math., J. Math. Biol., J. Theor. Biol.等期刊上发表论文50余篇，曾先后访问过美国Purdue大学、Florida大学，意大利Trento大学、加拿大York大学和Alberta大学。

孙桂全:中北大学教授，数学学院院长，博士生导师，享受国务院政府特殊津贴，国家优秀青年科学基金获得者，中国数学会生物数学专委会委员，中国青年科技工作者协会理事。主要从事斑图动力学和传染病传播动力学研究，在Physics of Life Reviews、J. Differential Equations、SIAM J. Appl. Math.、数学年刊B等国内外期刊发表论文60余篇。主持国家重点研发计划1项，国家自然科学基金项目4项，获得霍英东教育基金会青年教师基金、“山西省青年拔尖人才”、“博士后国际交流计划”、“山西省优秀科技工作者”和“山西省青年五四奖章”，以第一完成人获得山西省科技奖一等奖1项。

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