Stability analysis of stochastic avian influenza model with nonlinear incidence rate

This study investigates the stability of a stochastic avian influenza model. By using the non-negative semi-martingale convergence theorem and the stochastic comparison theorem, the existence, uniqueness, positivity and boundedness of the solution are stabilized. Sufficient conditions for finite-time stability are derived by constructing the Lyapunov function and applying the Growall inequality. The results of the theorem are further validated through numerical simulations. Additionally, these conditions suggest that the relationship between coefficients influences the finite-time stability of the system. The impact of noise intensity on the finite-time stability is also examined, indicating that lower noise intensity enhances system stability.