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.
Martcheva
Maia
M
Department of Mathematics, Polytechnic University, Brooklyn, NY 11201, USA. mayam@duke.poly.edu
Thieme
Horst R
HR
D015658:HIV Infections; D006801:Humans; D008288:Malaria; D008954:Models, Biological; D012552:Schistosomiasis; D015163:Superinfection / Q000382:microbiology* / Q000469:parasitology*; D014376:Tuberculosis