??? 为了更好地推动数学及相关领域的科學研究,扩展我校数学学科师生的学术研究视野,理学院数学系应用数学、概率论与数理统计学科特邀加拿大西安简陋大学应用数学系Pei Yu教授来我校进行学术讲学。
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?Pei Yu教授简介:Pei Yu教授于1982年结业于上海交通大学电子工程与盘算机科学专业,于1984年和1986年在加拿大滑铁卢大学系统设计工程专业获得硕士和博士学位,现为加拿大西安简陋大学应用数学系教授。Pei Yu教授恒久从事非线性动力学研究事情,包罗混沌动力系统、混沌保密与信息宁静、微分方程的稳定性与分岔、分岔和混沌的控制与反控制等问题,在国际应用数学SCI检索期刊上发表论文180余篇,在世界图书出书公司出书专著三部。Pei Yu教授在分岔问题的简化和规范型的推导、盘算方面的许多事情已经成为这一领域研究的经典文献,是多个国际期刊的编委和系列丛书的照料,有很高的学术职位和较高的国际知名度。
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??? 题目:The Impact of Prophage on the Equilibria and Stability of Phage and Host
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??? 摘要:In this talk, we present a bacteriophage model that includes prophage, which is described by an 18-dimensional system of ordinary differential equations. This study focuses on asymptotic behaviour of the model, and thus the system is reduced to a simple six-dimensional model, involving uninfected host cells, infected host cells and phage. We use dynamical system theory to explore the dynamic behaviour of the model, studying in particular the impact of prophage on the equilibria and stability of phage and host. We employ bifurcation and stability theory, centremanifold and normal form theory to show that the system has multiple equilibrium solutions which undergo a series of bifurcations, finally leading to oscillating motions. The results of this study indicate that in some parameter regimes, the host cell population may drive the phage to extinction through diversification, and this prediction holds even if the phage population is likewise diverse. This parameter regime is restricted, however, if infecting phage are able to recombine with prophage sequences in the host cell genome.
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??? 时间:2017年7月10日(周一) 下午14:30-17:00
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??? 所在:理學樓三樓會議室
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??? 接待宽大师生加入交流!