TRANSMISSION MODEL OF INFLUENZA A WITH ASYMPTOMATIC INFECTION AND ENVIRONMENTAL TRANSMISSION

The present study aims to investigate the impact of asymptomatically infected individuals and the presence of free virus in the environment on the transmission of influenza A virus. To this end, an infectious disease model of influenza A virus with asymptomatic infection and environmental transmission is established.Initially, the nonnegativity and boundedness of the global positive solution of the model are obtained, and the fundamental regeneration number of the model R 0 , is determined by the method of the spectral radius of the next-generation operator.Utilising qualitative ordinary differential equations, stability theory and fluctuation priming, it is demonstrated that the disease-free equilibrium point is globally asymptotically stable at R 0 ＜1 . Furthermore, the consistent persistence of the disease is substantiated by constructing an auxiliary system at R 0 ＞ 1 . The validity of the theoretical results is substantiated by numerical simulations.The innovative aspect of this paper is the integration of asymptomatic infection and environmental transmission into a unified model. This comprehensive approach elucidates the transmission mechanism of influenza A within the population, thus offering a novel perspective through which to attain a more profound comprehension of the transmission of influenza A.