A Type of Infectious Disease Model with Media Impact Factor and Vaccination Rate

doi:10.13438/j.cnki.jdzk.2025.04.005

Abstract

Abstract: A type of infectious disease model with media impact factor and vaccination rate has been established.The basic reproduction number of the model was given through the next-generation matrix method.Then,by constructing a Lyapunov function and utilizing the LaSalle invariance principle,the existence and stability of the disease-free equilibrium point and endemic equilibrium point of the model are analyzed.

Key words: basic regeneration number, media impact factor, vaccination rate, effective infection rate, epidemic model

WANG Liping, XIE Jingli. A Type of Infectious Disease Model with Media Impact Factor and Vaccination Rate[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 28-37.

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