@article{Wu2024, 
author = {Yue Wu and Shenglong Chen and Ge Zhang and Zhiming Li},
title = {Dynamic analysis of a stochastic vector-borne model with direct transmission and media coverage},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {9128-9151},
keywords = {vector-borne disease, direct transmission, media coverage, stationary distribution},
url = {https://www.sciopen.com/article/10.3934/math.2024444},
doi = {10.3934/math.2024444},
abstract = {This paper presents a stochastic vector-borne epidemic model with direct transmission and media coverage. It proves the existence and uniqueness of positive solutions through the construction of a suitable Lyapunov function. Immediately after that, we study the transmission mechanism of vector-borne diseases and give threshold conditions for disease extinction and persistence; in addition we show that the model has a stationary distribution that is determined by a threshold value, i.e., the existence of a stationary distribution is unique under specific conditions. Finally, a stochastic model that describes the dynamics of vector-borne diseases has been numerically simulated to illustrate our mathematical findings.}
}