报告题目： Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito-Borne Disease Transmission

报告人：  白振国 教授（西安电子科技大学）

报告时间： 2025年7月22日（星期二） 9:00-10:00

报告地点：线上会议       会议ID：腾讯会议506-191-975

校内联系人：衣凤岐 教授    联系电话：84708351-8518

报告摘要: Host mobility and environmental heterogeneity in vector populations are critical determinants of spatial patterns in mosquito-borne disease transmission. To investigate the impact of spatial heterogeneity and host dispersal on transmission dynamics, this manuscript proposes a partially degenerate nonlocal dispersal Ross-Macdonald model. The basic reproduction number R0 is identified as a critical threshold that determines the global dynamics of the model. The analytical challenge of noncompact solution map of this partially degenerate nonlocal model is addressed using comparison arguments for the phase space of bounded and Lebesgue measurable functions. Furthermore, we characterize the asymptotic behavior of R0 under small and large diffusion regimes, linking dispersal rates to transmission potential. Numerical simulations reveal how host mobility and spatially varying environment modulate disease persistence and transmission risks. Simulations also indicate that the model assuming local dispersal may underestimate transmission risks, and the epidemic size does not monotonically increase with R0.

报告人简介：白振国，西安电子科技大学教授，博导。研究方向为生物数学、微分方程及其应用，已在SIAM J. Appl. Math.、J. Math. Biol.、Bull. Math. Biol.、J. Nonlinear Sci.、Nonlinearity等期刊发表学术论文 30 余篇。主持国家自然科学基金面上项目2项，省部级项目2项，主要成果获2021 年陕西省科学技术奖自然科学二等奖（排名：2/4）。