報(bào) 告 人：宋鵬飛 博士
報(bào)告題目：Spatial-temporal modelling and analysis of infectious disease
報(bào)告時(shí)間：2023年11月23日（周四）上午8:30-11:30
報(bào)告地點(diǎn)：騰訊會(huì)議：149-223-166
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報(bào)告人簡(jiǎn)介：
宋鵬飛，男，理學(xué)博士，西安交通大學(xué)助理教授。2014年獲得西安交通大學(xué)數(shù)學(xué)學(xué)士學(xué)位；2020年獲得西安交通大學(xué)數(shù)學(xué)博士學(xué)位，導(dǎo)師肖燕妮教授；2017-2019在俄亥俄州立大學(xué)聯(lián)合培養(yǎng)兩年，導(dǎo)師樓元教授；2021-2023在加拿大約克大學(xué)吳建宏教授課題組進(jìn)行博士后研究。 主要研究方向是深度學(xué)習(xí)與微分方程耦合理論，偏微分方程、泛函微分方程以及傳染病多尺度模型研究，在《SIAM on Applied Mathematics》，《J. Differential Equations》，《J. Math. Biol.》，《Bull. Math. Biol.》等國(guó)際知名雜志發(fā)表論文14篇。
報(bào)告摘要：
He will give this talk from theoretical and practical perspectives.
For the first theoretical part, an SEIRS reaction-diffusion model with spatially heterogeneity was proposed. The basic reproduction number (R0) was showed to be connected with the principal eigenvalue of a linear cooperative elliptic system and threshold-type results on the global dynamics in terms of R0 were established. The monotonicity of R0 with respect to the diffusion rates of the exposed and infected individuals, which does not hold in general, is established in several cases. Finally, the asymptotic profile of the endemic equilibrium is investigated. These results reveal the importance of the movement of the exposed and recovered individuals in disease dynamics.
For the second practical part, a multi-stage and multi-scale SEIR epidemic patch model with deterministic and random diffusions was established. The modeling approach was incorporated with the Eulerian diffusion and the Lagrangian diffusion, and built upon multi-source training data with time-dependent parameters, so that the model has strong adaptability and effectiveness, and can be applied to study and predict different stages of emerging diseases (Sporadic, Outbreak, Epidemic, Endemic, Pandemic) and the transmission patterns at different spatial scales. As a case study, the proposed model was used to analyze the spatial spread of the novel coronavirus between Wuhan and Beijing.