一类考虑双隔离强度的传染病模型的稳定性研究OA

In order to study the effect of double isolation intensity on the transmission of infectious diseases,a class of infectious disease models with double isolation intensity were established.Firstly,the positivity and invariant set of the system were analyzed,fol-lowed by the calculation of the disease-free equilibrium point and the basic regeneration number,after which the unique endemic equi-librium point was calculated and stability analysis was performed on the disease-free equilibrium point and the local equilibrium point to determine whether the disease would be eliminated.Finally,a sensitivity analysis was performed on the basic regeneration number,which illustrated that adding the isolation term could control the spread of the disease.