Asymptotic Properties of a Stochastic SIR Model With Regime Switching and Mean‐Reverting Ornstein–Uhlenbeck Process

Mathematical Methods in the Applied Sciences, Journal Year: 2025, Volume and Issue: unknown

Published: March 6, 2025

ABSTRACT The goal of this paper is to investigate a new mean‐reverting Ornstein–Uhlenbeck process based stochastic SIR model with regime switching for diseases transmission that still threat human health and life. In paper, the deterministic extended switched form by incorporating Markov account environmental noise. Firstly, Lyapunov functions, existence global unique positive solution proved. Then, sufficient criteria control disease's extinction persistence disease are identified through Khasminskii theory comparison theorem. Epidemiologically, it found larger proportions intensity volatility speed reversion can suppress outbreak diseases. At last, numerical simulations provided verify our theoretical findings study effects on spread disease.

Language: Английский

Wireless Remote-Monitoring Technology for Wind-Induced Galloping and Vibration of Transmission Lines

Electronics, Journal Year: 2024, Volume and Issue: 13(23), P. 4630 - 4630

Published: Nov. 24, 2024

In order to achieve wireless remote monitoring of wind-induced vibrations in power-transmission lines based on MEMS sensors, it is necessary devise a method for reconstructing the wind swing curve, enabling device’s real-time performance promptly acquire, restore, and analyze data. Based existing single-axis vibration-sensitive components, measurement array using self-powered sensors spacers has been designed. The Orthogonal Matching Pursuit (OMP) algorithm selected obtain displacement data collected by installed transmission-line spacers. Leveraging inherent sparsity data, Gaussian white noise regularization matrix chosen establish observation matrix. Through algorithm, curve reconstruction achieved, large-span vibration information without distortion. experimental results demonstrate that when applying orthogonal tracking reconstruction, sampling length, is, number determined span length; portion values are generate matrix; galloping transmission line well restored.

Language: Английский