论文标题
具有分布延迟的扩散SEIR流行模型的全球稳定性
Global Stability of a Diffusive SEIR Epidemic Model with Distributed Delay
论文作者
论文摘要
我们研究具有分布式延迟和非线性入射率的反应扩散SEIR感染模型的全球动力学。证明了所提出的模型的适当性。通过Lyapunov功能，我们表明，当基本繁殖数量较小或等于一个时，无疾病的无疾病状态在全球渐近稳定，而当基本繁殖次数大于一个时，疾病流行平衡在全球渐近稳定。提供数值模拟以说明获得的理论结果。
We study the global dynamics of a reaction-diffusion SEIR infection model with distributed delay and nonlinear incidence rate. The well-posedness of the proposed model is proved. By means of Lyapunov functionals, we show that the disease free equilibrium state is globally asymptotically stable when the basic reproduction number is less or equal than one, and that the disease endemic equilibrium is globally asymptotically stable when the basic reproduction number is greater than one. Numerical simulations are provided to illustrate the obtained theoretical results.
