A model of HIV/AIDS with staged progression and amelioration.
An epidemic model with multiple stages of infection is studied. The model allows for infected individuals to move from advanced stages of infection back to less advanced stages of infection. A threshold parameter which determines the local stability of the disease free equilibrium is found and interpreted. Under conditions on the parameters, global stability is demonstrated using techniques involving compound matrices.
McCluskey
C Connell
CC
Department of Mathematics and Statistics, University of Victoria, Caledonia Avenue 1134, Victoria, British Columbia, Canada. cmcclusk@math.uvic.ca
D015496:CD4-Positive T-Lymphocytes / Q000276:immunology; D018450:Disease Progression; D015658:HIV Infections / Q000453:epidemiology* / Q000276:immunology / Q000473:pathology; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics