A note on epidemic models with infective immigrants and vaccination.
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TL;DR: The roles of immigration and vaccination on disease dynamics are explored in a simple setting that considers the possibility of conferred immunity and conditions for the existence of multiple endemic steady states and a fold bifurcation.
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Abstract: The roles of immigration and vaccination on disease dynamics are explored in a simple setting that considers the possibility of conferred immunity. We focus on SIR and SIS models with a vaccinated class. Conditions for the existence of multiple endemic steady states and a fold bifurcation are discussed.
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Citations
SVIR epidemic models with vaccination strategies.
TL;DR: Mathematical results suggest that vaccination is helpful for disease control by decreasing the basic reproduction number, which is a necessary condition for successful elimination of disease.
286
Optimal Control and Sensitivity Analysis of an Influenza Model with Treatment and Vaccination
TL;DR: It is observed that full treatment effort should be given while increasing vaccination at the onset of the outbreak, and the mostsensitive parameter of the various reproductive numbers apart from the death rate is the inflow rate, while the proportion of new recruits and the vaccine efficacy are the most sensitive parameters for the endemic equilibrium point.
Modelling and analysis of the spread of AIDS epidemic with immigration of HIV infectives
TL;DR: A nonlinear mathematical model of the spread of HIV/AIDS in a population of varying size with immigration of infectives and the endemicity of the disease is found to be higher if pre-AIDS individuals also interact sexually in comparison to the case when they do not take part in sexual interactions.
82
Permanence and extinction of a nonautonomous HIV/AIDS epidemic model with distributed time delay
TL;DR: In this paper, the authors considered a non-autonomous stage-structured HIV/AIDS epidemic model with two stages of the period of infection according to the developing progress of infection before AIDS defined in, with varying total population size and distributed time delay to become infectious.
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SIR-SVS epidemic models with continuous and impulsive vaccination strategies.
Jianquan Li,Yali Yang +1 more
TL;DR: Two SIR-SVS epidemic models with vaccination, where it is assumed that the vaccination for the newborns is continuous in the two models, are considered, and two types of vaccination strategies for the susceptible individuals are compared.
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References
Dynamics of two-strain influenza with isolation and partial cross-immunity ∗
TL;DR: It is established that cross-immunity and host isolation lead to periodic epidemic outbreaks (sustained oscillations) in this multistrain system and subthreshold coexistence driven by cross-IMmunity is possible even when the isolation reproductive number of one strain is below 1.
•Journal Article
Does Fear of Immigration Authorities Deter Tuberculosis Patients from Seeking Care
TL;DR: Any legislation that increases undocumented immigrants' fear that health care professionals will report them to immigration authorities may exacerbate the current tuberculosis epidemic.
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Epidemiology of adult and adolescent HIV infection in Israel: a country of immigration.
Daniel Chemtob,Z Grossman +1 more
TL;DR: In this article, the authors verified all HIV/AIDS cases ever documented, redefined (according to UNAIDS/WHO definitions) and analyzed those aged 13+ between 1980-2000, HIV and AIDS were diagnosed, respectively, in 2204 and 682 adults and adolescents.
Children on the move and vaccination coverage in a low-income, urban Latino population.
TL;DR: Foreign birth, but not childhood moves, is a barrier to vaccinations among low-income, urban Latino children in New York City.
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A model for TB with exogenous reinfection
Carlos Castillo-Chavez,Zhilan Feng,Angel F. Capurro +2 more
- 01 Jun 1999
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