报告题目：Dynamical behavior of a viral infection model with immune response and nonlinear incidence

报告人：罗颜涛副教授(新疆大学)

报告时间：2024年11月22日10:00-11:00

报告地点：复杂系统研究所5层报告厅(商学楼509室)

报告人简介：罗颜涛，男，理学博士，新疆大学数学与系统科学学院，副教授，硕士生导师，研究方向：生物数学，现承担国家自然科学基金青年基金、中国博士后面上项目、自治区自然科学青年基金、教育厅青年项目、博士科研启动项目各1项，目前已在JTB、DCDS-B、NARWA、MCS等期刊发表相关学术论文20余篇，2020年获自治区科技进步一等奖(自然科学)，排名第5，同年“自治区天池博士”计划资助。

报告摘要：Incorporating humoral immunity,cell-to-cell transmission and degenerated diffusion into a virus infection model. we investigate a viral dynamics model in heterogenous environments. The model is assumed that the uninfected and infected cells do not diffuse and the virus and cells have diffusion. Firstly, the well-posedness of the model is discussed. And then we calculated the reproduction number account for virus infection, and some useful properties of are obtained by means of the Kuratowski measure of noncompactness and the principle eigenvalue. Further, when the infection-free steady state is proved to be globally asymptotically stable. Moreover, to discuss the antibody response reproduction number of the model and the global dynamics of virusinfection, including the global stability infection steady state and the uniform persistence of infection, and to obtain the contraction of the model withtheKuratowskii measure of noncompactness, a special case of the model is considered. At the same time, we obtained a sufficient condition on the global asymptotic stability of the antibody-free infection steady state (the uniform persistence and global asymptotic stability of infection with antibody response). Finally, the numerical examples are presented to illustrate the theoretical results and verify the conjectures.