Epidemiology and evolution of infectious diseases in a periodic environment

Người báo cáo: Khổng Văn Hải

Thời gian: 14h Thứ 5, ngày 05/10/2023

Địa điểm: Phòng 507 nhà A6

Link online Zoom: 845 8621 8812

Passcode: 123456

Tóm tắt: The talk will show some of the consequences that periodic fluctuations in the environment can have on the dynamics of infectious diseases. We illustrate these consequences in the context of a vector-borne pathogen corresponding to three different aspects of seasonality. The first aspect analyzes the persistence of a pathogen and shows how seasonality can increase or decrease the persistence of the pathogen. This first aspect is based on the analysis of a deterministic model. In the second aspect, we study the effects of seasonality on the risks of emergence. The stochastic model used is based on a relatively simple epidemiological scenario but can be generalized to models with vector transmission. We show here how the timing of treatment can have an impact on the risk of emergence (or eradication) of the epidemic. The third issue uses a third formalism, adaptive dynamics, to study the evolution of dormancy and reactivation.

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Xuất bản mới
La Văn Thịnh, Hoàng Thế Tuấn, On the Mittag–Leffler Stability of Mixed-Order Fractional Homogeneous Cooperative Delay Systems, Vietnam Journal of Mathematics, Volume 54, pages 773–789 (2026)
Đỗ Minh Thắng, Sonja Hannibal, Arnulf Jentzen, Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation, Journal of Mathematical Analysis and Applications, 564 (2026) 130724
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5