An improved algebraic approach to proving global stability of autonomous polynomial differential systems with applications to epidemic models

J Li, Y Chen, F Zhang - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
Global stability of autonomous polynomial differential systems is an important issue in
applications. By means of the Lyapunov direct method, an improved algebraic approach to …

The influence of Lévy noise on the dynamical behavior of a stochastic HIV/AIDS model with vertical transmission

K Ponmari, M Senthilkumaran… - Journal of Applied …, 2024 - Springer
This paper examined the behavior of the HIV/AIDS epidemic stochastic model driven by both
White Noise and Lévy jumps. Initially, we demonstrated that the stochastic model under …

[PDF][PDF] Global stability and optimal vaccination control of SVIR models

X Zhu, H Liu, X Lin, Q Zhang, Y Wei - AIMS Mathematics, 2024 - aimspress.com
Global stability and optimal vaccination control of SVIR models Page 1 AIMS Mathematics, 9(2):
3453–3482. DOI: 10.3934/math.2024170 Received: 29 October 2023 Revised: 24 …

Time-Delay Dynamic Model and Cost-Effectiveness Analysis of Major Emergent Infectious Diseases with Transportation-Related Infections and Entry-Exit Screening

Y Xie, Z Zhang, Y Wu, S Li, L Pang, Y Li - 2024 - preprints.org
We analyze a time-delayed SIQR model that considers the transportation-related infections
and entry-exit screening. This model aims to determine the measures for preventing and …