Bifurcation analysis of an age-structured SIRI epidemic model
This paper studies bifurcation analysis of an age-structured SIRI epidemic model featuring demographic features. In this model, the effects of logistic growth and age of infection on the transmission dynamics of infectious disease are considered. An abstract non-densely defined Cauchy problem is formulated for the model. The paper analyzes the existence of feasible equilibria of the system and investigates the linearized equation and its characteristic equation. Hopf bifurcation has been determined. Moreover, some numerical examples are worked out. Finally, the paper presents some sensitivity analysis for parameters including the carrying capacity of susceptible population, the rate of natural death, the rate at which recovered individuals lose immunity, and the recovery rate of the infective individuals.
scientific article; zbMATH DE number 7390448
scientific article