中南大学戴斌祥教授、黑龙江大学王金良副教授将于8月11日访问数学系做学术报告，欢迎感兴趣的师生参加。

戴斌祥教授报告时间：8月11日10:00-11:00，报告地点：格物楼503

报告题目：Pattern formation induced by cross-diffusion in a toxic-phytoplankton-zooplankton model

摘要： The spatiotemporal pattern formation driven by cross-diffusion of a toxic-phytoplankton-zooplankton model is investigated in this paper.  We give the conditions for cross-diffusion induced Turing instability. Then we derive an amplitude equation of the system in the framework of a weakly nonlinear theory, and the linear stability analysis of this amplitude equation interprets the structural transitions and stability of various forms of Turing patterns. Furthermore,  we illustrate the theoretical results via numerical simulations.  It is shown that the spatiotemporal distribution of the plankton is uniform when the phytoplankton is non-toxic. However, in the presence of toxin-producing phytoplankton, the spatiotemporal distribution of all the plankton species becomes inhomogeneous in spaces and results in different kinds of patterns: spots, stripes, and the mixture of them depending on the toxicity level. Simultaneously, the impact of cross-diffusion on pattern selection is also explored. We also observe that the distribution of all the plankton species shows limit cycle oscillation for a low level of toxicity.

王金良副教授报告时间：8月11日11:10-12:10，报告地点：格物楼503

报告题目：Dynamics of viral infection models incorporating cell-to-cell transmission

摘要：In this talk, I will concern with viral infection model incorporating cell-to-cell transmission.  For three types models with cell-to cell mechanism, ODEs with distributed delays and direct cell-to-cell transmission, infection-age model with cell-to-cell transmission, and reaction-diffusion model with cell-to-cell transmission, we study the global dynamic properties. Some mathematical arguments, such as the effect of cell-to-cell transmission on viral dynamics, relative compactness and persistence of the solution semi-flow, existence of a global attractor, and the principle eigenvalue problem will be addressed. This is a joint work with Dr. Toshikazu Kuniya (Kobe Univ.), Prof. Xianning Liu (Southwest Univ.) and Prof. Xingfu Zou (Western Univ. CANADA).

报告人简介见百度百科：

http://baike.baidu.com/link?url=3ck_MabYaotrD6MA9nvXi943kcOICSL8TgpmzKlb5AKRY5gb72M0yCB3sJwgpcvW_5ipFBARGV2Mj4vxfuvtra

http://baike.baidu.com/link?url=T9uNm2zAfLO7AzRh2VRUkrd7_1Koe7BD69-Xqv_-WnxiPXf0R1qTgnB3BrfIDfjWaJl8IDRgvyO9DhhvTGNvhE_KuWH070zDy8NU20B59c8wpya05PT2MZwhSHbWqE_w