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WNv diffusive models with climate warming, spatial heterogeneity and seasonal succession

发布时间:2024-04-10 作者: 浏览次数:
Speaker: 林支桂 教授 DateTime: 2024年4月13日(周六)上午8:30--12:00
Brief Introduction to Speaker:

林支桂,扬州大学二级教授、博士研究生导师、中国数学会生物数学专业委员会副主任、《生物数学学报》和《Int. J. Biomath.》杂志编委。曾赴丹麦科技大学留学一年,在韩国浦项科技大学作博士后研究。多次应邀到丹麦科技大学、新加坡国立大学、韩国浦项科技大学、高丽大学、澳大利亚New England 大学、加拿大York大学等作短期学术访问。从事应用数学方面的研究,已出版专著一部,发表论文100余篇。主持国家自然科学基金8项、省部级项目6 项。2021年独立获江苏省科学技术奖三等奖。

Place: 6号楼二楼会议室
Abstract:This talk deals with mathematical models describing the dynamic of West Nile virus in North America. For the spatially-independent WNv model, the usual basic reproduction number $R_0$ is given and for the diffusive WNv model in a bounded domain, the basic reproduction numbers $R_0^N, R_0^D$ are defined. To model and explore the expanding front of the infective region, a reaction-diffusion problem with free boundaries is proposed. The spatial-temporal risk index $R_0^F(t)$, which involves regional characteristic and time, is defined. Sufficient conditions for the virus to vanish or spread are given. Our results suggest that the spreading or vanishing of the virus depends on the initial number of infected individuals, the area of the infected region, the diffusion rate, and other factors. Some remarks on the basic reproduction numbers and the spreading speeds are presented and compared. Moreover, we establish new WNv models to describe the impart of climate warming, spatial heterogen...