基于存在基础病史易感者的SEIR模型对COVID-19传播的研究
摘要
Based on the classic SEIR infectious disease model, a new type of new coronary pneumonia transmission model containing a population with a history of basic diseases was established, the basic reproduction number of its transmission was obtained, and the existence of the equilibrium of the model was determined. Through construction of the Lyapunov function and with the LaSalle invariance principle, the global stability of the equilibrium was proved, and the theoretical research results were also verified by numerical simulation. At the same time, the influence of the transformation rate coefficient from no basic medical disease to basic disease on the disease transmission was discussed. It is found that, the mathematical model considering no basic disease will underestimate the basic reproduction number of disease transmission and the scale of infection. Numerical simulations also show the definite impact of the transformation rate coefficient from no basic disease to basic disease on the peak number of the infected population.