Progression age enhanced backward bifurcation in an epidemic model with super-infection.
We consider a model for a disease with a progressing and a quiescent exposed class and variable susceptibility to super-infection. The model exhibits backward bifurcations under certain conditions, which allow for both stable and unstable endemic states when the basic reproduction number is smaller than one.
Department of Mathematics, Polytechnic University, Brooklyn, NY 11201, USA. mayam@duke.poly.edu
Maia
M
Martcheva
Horst R
HR
Thieme
D015658:HIV Infections; D006801:Humans; D008288:Malaria; D008954:Models, Biological; D012552:Schistosomiasis; D015163:Superinfection / Q000382:microbiology* / Q000469:parasitology*; D014376:Tuberculosis