Threshold Dynamics of a Multi-Patch SEIQR Epidemic Model with Prevention Awareness
We consider the characteristics of viral transmission of common infectious diseases,multi-patch SEIQR infectious disease transmission dynamic model with prevention awareness was proposed and studied.According to the next generation matrix method,the disease transmission threshold Ra in a single patch and the disease transmission threshold Rφa in the two patches were calculated.The theoretical results show that the disease free equilibrium in a single patch is globally asymptotically stable if Ra ≤ 1 and the disease free equilibrium in two patches are locally stable if Rφa ≤ 1.Numerical simulations confirm the theoretical results,sensitivity analysis discusses the effects of parameters to the basic regeneration number,which shows that increasing the awareness of prevention could inhibit the spread of the virus between patches,but infection during transportation can increase it.
万方数据
维普
