Modelling and analyzing the epidemic of human infections with the avian influenza A(H7N9) virus in 2017 in China

Abstract

in mainland China, a novel avian influenza A(H7N9) virus began to infect humans, followed by the annual outbreaks, and had aroused severe fatality in the infected humans. After introducing the statistical characteristics including the geographical distributions of the outbreaks, a SEV-SIRS eco-epidemiological model is established and analyzed. In this model, the factor of virus in environment is incorporated into the model as a class; the vaccine measure in poultry is taken into account in purpose of assessing its control effect in 2017 in China; the nonmonotonic contact function is adopted to characterize the psychosocial effect. The stability of disease-free equilibrium point (DFE) is obtained by the threshold theory; the stability of the endemic equilibrium point is gotten by the Bendixson criterion based on the geometric approach. Sensitivity analyses of system parameters indicate that the measure of vaccination in poultry can play its role but only when the vaccine rate is more than 98%can the disease control effect be effectively exerted, and the virus in environment is an extremely sensitive factor in the disease transmission and the epidemic control. KEYWORDS avian influenza A(H7N9) virus, geographical distribution, human infections, sensitivity analysis, stability, virus in environment 4456

Global dynamics of a network-based SIQS epidemic model with nonmonotone incidence rate

“…In [27] , They analyzed the global dynamics of the SIRS model with (1.2) as well as demonstrated that as time progresses, numbers of infected persons converge toward zero or the disease is persistent. Chen and Wen [28] used (1.2) to characterize the transmission between human and poultry, which conform the effect of human intervention.

Fig.

…”