报告题目：Maintaining shadowing properties in 2D time-varying discrete dynamic systems
报告人：卢天秀 教授
时间：2026年05月13日（星期三）下午16：30-17：10
地点：四川轻化工大学宜宾校区A6-110
报告内容简介：
The study of shadowing properties properties began in the 1970s with the research on hyperbolic properties of differential dynamical systems, which is closely related to the stability of dynamical systems. This research investigates the retentivity of six types of shadowing properties in both product and topological conjugate cases in time-varying discrete dynamical systems (T-VDDSs). Then, it is demonstrated that chaotic characteristics encompass persistence, expansive, linking, topological stability are retained under the product operator. Moreover, if expansive homeomorphism has eventual shadowing property, then it is topologically stable.
报告题目：Stability and Hopf bifurcation analysis of a HTLV-I infection model with time-delay CTL immune response
报告人：陈思妤 博士
时间：2026年05月13日（星期三）下午17：10-17：50
地点：四川轻化工大学宜宾校区A6-110
报告内容简介：
This paper is devoted to proposing a mathematical model in order to explore the dynamics of HTLV-I (human T-cell leukemia virus type-I) infection, in which the closely related target cell-virus-immune system interaction and the time-delay cytotoxic T lymphocyte (CTL) immune response are taken into consideration. Firstly, we give the relevant lemma for the existence of feasible equilibrium points of the model, and then further certify the global asymptotic stabilities of the infection-free equilibrium E1 and the immune-free equilibrium E2. Furthermore, we research the existence of Hopf bifurcation (HB) occurring at the immune equilibrium E∗ due to the influence of the delay bifurcation parameter. Also, the numerical simulations confirm this fact. In addition, we obtain the explicit expressions which determine the direction and stability of HB. Finally, a succinct discussion shows that the delay in CTL response can destabilize E∗ and generate HB, but not affect stabilities of E1 and E2.
