On the eradicability of infections with partially protective vaccination in models with backward bifurcation.
The SIS model of Hadeler and Castillo-Chavez [9] with a constant transfer rate of susceptibles into a partially protected state has been modified to take into account vaccination at birth. The model shows backward bifurcation (existence of multiple endemic stationary states) for certain values of parameters. Parameter values ensuring the existence and nonexistence of endemic equilibria have been discussed. Local and global stability of equilibria have been investigated. The minimum effort required to eradicate the infection has been determined.
Safan
Muntaser
M
Mathematics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt. msafan@mans.edu.eg
Dietz
Klaus
K
D001699:Biometry / Q000379:methods*; D003140:Communicable Disease Control / Q000379:methods / Q000706:statistics & numerical data*; D003141:Communicable Diseases / Q000453:epidemiology*; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000517:prevention & control* / Q000706:statistics & numerical data*; D006801:Humans; D008954:Models, Biological; D015995:Prevalence; D014611:Vaccination / Q000706:statistics & numerical data*