报告题目：Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics
报告人：邱志鹏 教授
报告时间：2019年5月20日（星期一）上午10:00-11:00
报告地点：理学院二楼会议室
报告摘要：In this paper a mathematical model is formulated to study transmission dynamics of West Nile virus (WNv), which incorporates mosquito demographics including pair formation, metamorphic stages and intraspecific competition. The global behaviors of the model are obtained from a geometric approach and the theory of monotone dynamics, even though bistability is present due to backward bifurcation. It turns out that the model can be investigated through two auxiliary subsystem, which are cooperative and K-competitive, respectively. Together with implement of compound matrices and Poincare-Bendixson theory, a thorough classification of dynamics of the full model is characterized by mosquito reproduction number R_M, WNv reproduction number R_0 and a bistability subthreshold R_c. The theoretical results show that if R_M is not greater than 1, mosquitoes will not survive, and the WNv will die out; if R_M is greater than 1, then mosquitoes will persist, and disease may prevail or vanish depending on basin of attraction of the local attractors. Our method in this paper can be applied to other mosquito-borne diseases such as malaria, dengue fever which have a similar monotonicity.
邱志鹏教授简介：邱志鹏：南京理工大学理学院教授，博士生导师。1999年从西南师范大学获基础数学专业硕士学位后进入南京理工大学理学院从事教学和科研工作；2003年获南京理工大学控制科学与工程专业博士学位；2003年7月至2005年7月在中国科学技术大学数学系从事博士后研究工作；2008年8月至2009年8月和2011年8月至2012年5月两次美国普渡大学做访问学者（访问助理教授）和合作交流；2013年7月至2014年7月在加拿大York大学做访问学者和合作交流；先后还短期（三个月以内）访问过意大利Trento大学，加拿大Alberta大学和美国Flordia大学。主要从事常微分方程、动力系统与生物数学的研究工作，主持完成国家自然科学基金青年基金1项，面上项目1项，教育部留学回国基金1项，参加完成国家自然科学基金面上项目1项，目前正在主持国家自然科学基金面上项目1项，已在Bull. Math. Biol., Math. Biosci., J. Diff. Equs., SIAM J. Appl. Math., J. Math. Anal. Appl.等期刊上发表论文40余篇。