題 目：Threshold dynamics of a spatial diffusion schistosomiasismodel with seasonal and nonlocal transmissions
主講人：吳鵬博士
時 間：2023年4月27日（周四）13：30-14：30
地 點：6號學院樓500會議室
主辦單位：新葡萄8883官網AMG 浙江省2011“數據科學與大數據分析協同創新中心”
摘要：
Schistosomiasis is a kind of parasitic disease, which mainly caused by schistosomiasisjaponicum parasitism. Spatial diffusion, spatial heterogeneity, nonlocal effectively contact (this property can be described by some integral functions), and seasonal pattern have been identified in theinfection mechanism of schistosomiasis. In this paper, we formulate a spatial diffusion schistosomiasismodel with seasonal and nonlocal transmissions to investigate the impact of interesting factors on thetransmission dynamics of schistosomiasis. We derive the functional expression of the next generationoperator R(x) and define the basic reproduction number R0 as the spectral radius of R(x). We alsoshow that the threshold dynamics of the system, which determined by R0, i.e., the schistosomiasis-freeperiodic steady state is global attractive when R0 < 1 and the uniform persistence of the disease holdsfor R0 > 1. Numerical simulations are conducted to verified the theoretical results and investigate theinfluences of factor factors on schistosomiasis transmissions. Our works suggest that schistosomiasis isless prevalent in regions of river with fast current than in those with slow current. In this way, considering the spatial heterogeneity, government departments should take corresponding control measuresfor different river and lake basins.
主講人簡介：
吳鵬，應用數學博士，研究方向是動力系統理論研究及其應用，主要研究內容是HIV/AIDS傳染病動力學建模與研究（ODE,PDE建模、數值分析、最優控制問題）。以第一作者在Journal of FranklinInstitute、Applied Mathematical Modelling、Nonlinear Analysis: Real World Applications、Discrete and Continuous Dynamical Systems Series B、高校應用數學學報、系統科學與數學等應用數學和生物數學方面知名SCI及國內權威學術期刊發表論文20余篇。
歡迎各位老師和同學積極參加！
