Dynamic model analysis of Norovirus transmissionwith nonlinear incidence

Abstract

In order to reduce the great harm of infectious diarrhoeal disease caused by Norovirus infection to human health,based on the transmission characteristics of Norovirus,the transmission dynamics behavior of Norovirus was studied.Taking into account the characteristics that the latent infected with Norovirus can also transmit the disease,a dynamic model of Norovirus transmission with nonlinear incidence was established.The basic reproduction number R0of the model was calculated and then the stability of the disease-free equilibrium point and the endemic equilibrium point were proved by using the Lyapunov function and the geometric method.The results show that when R0≤1,the disease-free equilibrium point is globally asymptotically stable and the disease disappears; when R0>1,under certain conditions,the endemic equilibrium point is global asymptotically stable.The theoretical results are verified by numerical simulation.The research results have enriched the theory of infectious virus transmission and provide a reference for the study of virus transmission mechanism.

Keywords

• stability theory; norovirus; infectious disease model; nonlinear incidence; basic reproduction number