title: Impulsive SUI epidemic model for HIV/AIDS with chronological age and infection age.
abstract: This paper develops an impulsive SUI model of human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS) epidemic for the first time to study the dynamic behavior of this model. The SUI model is described by impulsive partial differential equations. First, the well-posedness of the model is attained by the method of characteristic lines and iterative method. Secondly, the basic reproduction number R(0)(q,T) of the epidemic which depends on the impulsive HIV-finding period T and the HIV-finding proportion q is obtained by mathematical analysis. Our result shows that HIV/AIDS epidemic can be theoretically eradicated if we can have the suitable HIV-finding proportion q and the impulsive HIV-finding period T such that R(0)(q,T)<1. We also conjecture that the infection-free periodic solution of the SUI model is unstable when R(0)(q,T)>1.
authors.affiliation: School of Science, Anhui Agricultural University, Hefei 230036, PR China. want2fly2002@163.com
authors.forename: Ping
authors.initials: P
authors.lastname: Yan
mesh_terms: D000163:Acquired Immunodeficiency Syndrome / Q000453:epidemiology*; D017677:Age Distribution; D000367:Age Factors; D000375:Aging; D006801:Humans; D015233:Models, Statistical