This paper studies the global stability of a discrete-time delayed influenza model with two-strain and two vaccinations. We use nonstandard finite difference (NSFD) method to discretize the continuous-time influenza model. First we show that the solutions of the model are positive and bounded, then we calculate all possible steady states of the model. The model has four steady states; disease free steady state, two single-strain-infection steady states and a double-strain-infection steady state. The existence and stability of the steady states are governed by four threshold parameters. We investigate by utilizing Lyapunov approach, the global stability of the four steady states of the model. We provide numerical simulations to illustrate theoretical results. The effect of vaccination on influenza dynamics is discussed.

本文研究了具有两株和两次疫苗接种的离散时间延迟流感模型的全局稳定性。我们使用非标准有限差分 (NSFD) 方法来离散连续时间流感模型。首先我们证明模型的解是正的和有界的，然后我们计算模型的所有可能的稳态。该模型有四个稳态；无病稳态、两种单株感染稳态和双株感染稳态。稳态的存在和稳定性由四个阈值参数控制。我们调查通过利用李雅普诺夫方法，模型的四个稳态的全局稳定性。我们提供数值模拟来说明理论结果。讨论了疫苗接种对流感动力学的影响。