Abstract:The dynamics of a class of infectious disease models with varying male-to-female infection ratios were analyzed initially, the positivity and boundedness of the model were validated, followed by the computation of the basic reproduction number using the regeneration matrix method to determine the threshold for disease extinction. Subsequently, the local stability of equilibrium points was discussed using the Hurwitz criterion. Finally, a Lyapunov functional was constructed, and the threshold conditions for global asymptotic stability were obtained through the LaSalle invariant set principle.The research results show that the disease-free equilibrium point is locally stable and globally asymptotically stable when the basic reproduction number is less than 1, and there is a unique positive equilibrium point when the basic reproduction number is greater than 1, which is locally stable and globally asymptotically stable.This study extends the content of infectious disease dynamics models related to sex-structures.