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The study aims to investigate the finite-time stability of a stochastic model representing the West Nile virus.

August 8, 2026PLoS ONEOpen Access

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

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Randomized trial examines finite-time stability in a West Nile virus model, indicating factors influencing system stability.

The study aims to investigate the finite-time stability of a stochastic model representing the West Nile virus.
Established the boundedness, existence, and uniqueness of solutions for the model.
Constructed a Lyapunov function and applied the Gronwall inequality to derive conditions for stability.
Conducted numerical simulations to analyze the influence of noise intensity, mortality rates, and transmission rates.
Lower noise intensity and transmission rates correlate with higher mortality rates.
The system can achieve finite-time stability more effectively with increased mortality rates.

Kangkang Chang (2026) studied this question.

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