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来源: 发布时间: 2021-04-25 点击量:
  • 讲座人: 吴毅湘、Xiang-Sheng Wa
  • 讲座日期: 2021-04-26
  • 讲座时间: 8:00
  • 地点: 腾讯会议 ID: 316 935 346

讲座题目1:Global dynamics of a Lotka-Volterra competition patch model
讲座时间:8:00--9:30
讲座:吴毅湘 教授
讲座内容简介:
The global dynamics of the two-species Lotka-Volterra competition patch model with asymmetric dispersal is classified under the assumptions of weak competition and the weighted digraph of the connection matrix is strongly connected and cycle-balanced. It is shown that in the long time, either the competition exclusion holds that one species becomes extinct, or the two species reach a coexistence equilibrium, and the outcome of the competition is determined by the strength of the inter-specific competition and the dispersal rates. Our main techniques in the proofs follow the theory of monotone dynamical system and a graph-theoretic approach based on the Tree-Cycle identity.
讲座人简介:
吴毅湘,于2010年在中南大学获得理学学士学位,于2015年在美国路易斯安那大学获得理学博士学位。2015年7月至2016年8月在加拿大西安大略大学从事博士后研究。2016年9月至2019年7月,任美国范德堡大学助理教授。2019年8月,任美国中田纳西州立大学助理教授。研究兴趣主要是反应扩散方程和生物数学。其研究成果已在Nonlinearity、SIAM Appl. Math、Bull Math Biology、J. Differential Equations等国际数学杂志上发表论文10余篇。
讲座题目2:Resonance of periodic combination antiviral therapy and intracellular delays in virus model
讲座时间:9:30--11:00
讲座:Xiang-Sheng Wang 教授
讲座内容简介
In this talk, we study within-viral dynamics under general intracellular distributed delays and periodic combination antiviral therapy.  The basic reproduction number is established as a global threshold determining extinction versus persistence, and spectral methods are utilized for analytical and numerical computation of basic reproduction number.   We derive the critical maturation delay for virus and optimal phase difference between sinusoidally varying drug efficacies under various intracellular delays.  Furthermore, numerical simulations are conducted utilizing realistic pharmacokinetics and gamma-distributed viral production delays for HIV. Our results demonstrate that the relative timing of the key viral replication cycle steps and periodic antiviral treatment schedule involving distinct drugs all can interact to critically affect the overall viral dynamics.
讲座人简介:
Xiang-Sheng Wang教授于2009年获得香港城市大学博士学位,2009-2013年先后在香港城市大学、加拿大York大学、Memorial University of Newfoundland大学从事博士后研究工作,现在任职于美国University of Louisiana at Lafayette大学,主要研究渐近分析、微分动力系统、生物数学和计算数学。迄今为止已在Advances in Mathematics、J. Math. Pures Appl.、JDE、SIAM J. Control and Optimization、Analytical Chemistry、Physics Review E、Studies in Applied Mathematics、JDDE、BMB、JTB、Statistica Sinica等国际期刊上发表学术论文四十余篇。

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