应pc加拿大预测准确率李万同院长和王智诚教授的邀请,新疆大学滕志东教授将于2019年5月17日至5月18日访问兰州大学,期间将举办专题学术报告。
报告题目:A reaction-diffusion virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence
报告摘要: We investigate the global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence in the spatial heterogeneous and homogeneous environments. We obtain the virus infection basic reproduction number $R_0$ for the spatial heterogeneous case and the antibody response basic reproduction number $R_1$ for the spatial homogeneous case. We establish the threshold conditions of the global asymptotic stability of infection-free equilibrium and antibody-free infection equilibrium, as well as the uniform persistence of all positive solutions for the model. We establish the existence of traveling wave solutions connecting the infection-free equilibrium with antibody-free infection equilibrium or antibody response infection equilibrium by using sub-upper solutions method and Schauder's fixed point theorem, and the boundary asymptotic behaviour of travelling wave solutions at $+\infty$ is obtained by Lyapunov functions.
时 间:5月17日下午2:00.
地 点:齐云楼 911多媒体报告厅
欢迎广大师生光临!
滕志东教授简介
滕志东,新疆大学数学与系统科学学院教授、博士生导师,政府特殊津贴专家,新疆自治区突出贡献优秀专家。主持国家自然科学基金项目4项,发表SCI收录学术论文200多篇,获新疆自治区科技进步奖4项。培养硕士研究生60多名,博士研究生20名,博士后4名。
甘肃省高校应用数学与复杂系统省级重点实验室
pc加拿大预测准确率
萃英学院
2019年5月15日