传染病动力学常微分方程模型解的大时间性质

The Long-Time Behavior of Solutions to Infectious Disease Dynamics of the Ordinary Differential Equation Model

研究了传染病常微模型三次系统解的非负性、整体解的存在唯一性,并利用Liapunov函数法和霍维茨准则等研究了非负平衡解的稳定性及渐近稳定性.

This paper mainly discussed the non-negativity and the global existence of solution to infectious disease model. Moreover, it applied Liapunov function and the Routh-Hurwitz criterion to the study of the stability and asymptotic stability of the non negative equilibrium solutions to the ODE systems, The conclusions can guide research in the prediction and control of infectious disease.