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迎校庆“百大名家进校园”系列讲座之亚博最新娱乐网址学术报告--第【2021043】号
2021-06-17 10:13   审核人:

应我校亚博最新娱乐网址邀请,南京理工大学的邱志鹏教授于2021616-18日来我校进行短期访问讲学。欢迎亚博最新娱乐网址及全校相关教师、博士生、硕士生参加!

报告题目: Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics

人:邱志鹏 教授

报告人单位:南京理工大学

间:2021618日(周五)下午14:00-15:00

点:8号楼七楼会议室


邱志鹏教授简介:南京理工大学江阴校区基础教学与实验中心主任、教授、博士生导师。1996年和1999年从西南师大数学系分别获得学士和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;20037月至20057月在中国科大数学系从事博士后研究工作;20088月至20098月和20118月至20125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;20137月至20147月在加拿大York大学做访问学者和合作交流;先后还短期访问过意大利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,正在主持或完成国家自然科学基金4项,教育部留学回国基金1项,参加国家自然科学基金面上项目2项和江苏省自然科学基金青年项目1项,已在Bull. Math. Biol., Math. Biosci., J. Diff. Equs., SIAM J. Appl. Math., J. Math. Biol., J. Theor. Biol., J. Math. Anal. Appl.等期刊上发表论文40余篇。

报告摘要: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 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 Poincaré–Bendixson theorem, a thorough classification of dynamics of the full model is characterized by mosquito reproduction number RM, WNv reproduction number R0 and a bistability subthreshold Rc. The theoretical results show that if RM is not greater than 1, mosquitoes will not survive, and the WNv will die out; if RM is greater than 1, then mosquitoes will persist, and disease may prevail or vanish depending on basin of attraction of the local attractors which are singletons. Our method in this paper can be applied to other mosquito-borne diseases such as malaria, dengue fever which have a similar monotonicity. This is a joint work with Xuerui Wei, Chunhua Shan and Huaiping Zhu.

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