Author(s)

WenXuan Li

Affiliation(s)

School of Mathmatical Science, Chengdu University of Technology,Yibin 644000, Sichuan, China.

Corresponding Author

WenXuan Li

ABSTRACT

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 R₀, 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 R₀＜1. Furthermore, the consistent persistence of the disease is substantiated by constructing an auxiliary system at R₀＞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.

KEYWORDS

A symptomatic infection; Multiple pathways of transmission; Basic regeneration number; Global asymptotic stabilization; Uniform persistence

CITE THIS PAPER

WenXuan Li. Transmission model of influenza A with asymptomatic infection and environmental transmission. Journal of Pharmaceutical and Medical Research. 2025, 7(1): 43-50. DOI: https://doi.org/10.61784/jpmr3032.

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