Finite-time stability of the West Nile Virus model with Brownian motion.

Authors

Kangkang Chang

Published in

PloS one. Volume 21. Issue 8. Pages e0354331. Epub Aug 06, 2026.

Abstract

West Nile virus disease is an acute infectious illness caused by infection with the West Nile virus, which was first isolated from the blood of a febrile patient in the West Nile region of Uganda in 1937. In recent decades, West Nile fever has continued to expand across endemic regions globally, with no specific antiviral treatment or vaccine currently available for prevention. This study examines the finite-time stability of a stochastic West Nile virus model. Initially, the boundedness, existence and uniqueness of the solution are established. Furthermore, by constructing a Lyapunov function and utilizing the Gronwall inequality, a sufficient condition for the finite-time stability of the West Nile virus model is derived. Finally, numerical simulations are conducted to verify the theoretical results, and the influence of noise intensity, mortality rates and transmission rates on the finite-time stability of the model are analyzed. The results show that the lower the noise intensity and transmission rates, the greater the mortality rates, and the better the system can achieve finite-time stability.

PMID:
42560975
Bibliographic data and abstract were imported from PubMed on 07 Aug 2026.

Read full publication at:
Please sign in to see all details.

Stats

1-terrible, 9-excellent. How would you rate this publication? Sign in in to submit your rating.

Post a comment

You need to be signed in to post comments. You can sign in here.

Comments

There are no comments yet.